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|00000000| 44 45 52 49 56 45 20 66 | 6f 72 20 57 69 6e 64 6f |DERIVE f|or Windo|
|00000010| 77 73 20 76 65 72 73 69 | 6f 6e 20 35 2e 30 32 20 |ws versi|on 5.02 |
|00000020| 44 66 57 20 66 69 6c 65 | 20 73 61 76 65 64 20 6f |DfW file| saved o|
|00000030| 6e 20 31 37 20 4a 61 6e | 20 32 30 30 31 0d 0a 1a |n 17 Jan| 2001...|
|00000040| 04 01 00 00 41 4e 44 50 | 52 28 76 2c 20 6e 29 3a |....ANDP|R(v, n):|
|00000050| 3d 49 46 28 6e 20 3d 20 | 31 2c 20 76 99 31 2c 20 |=IF(n = |1, v.1, |
|00000060| 41 4e 44 50 52 28 76 2c | 20 6e 20 2d 20 31 29 20 |ANDPR(v,| n - 1) |
|00000070| 8f 20 76 99 6e 29 0d 0a | 41 4e 44 53 28 76 29 3a |. v.n)..|ANDS(v):|
|00000080| 3d 41 4e 44 50 52 28 76 | 2c 20 44 49 4d 28 76 29 |=ANDPR(v|, DIM(v)|
|00000090| 29 0d 0a 43 41 59 4c 45 | 59 43 28 6e 29 3a 3d 56 |)..CAYLE|YC(n):=V|
|000000a0| 45 43 54 4f 52 28 56 45 | 43 54 4f 52 28 49 46 28 |ECTOR(VE|CTOR(IF(|
|000000b0| 6a 20 3d 20 30 2c 20 22 | 22 2c 20 4f 28 28 56 43 |j = 0, "|", O((VC|
|000000c0| 5f 28 6e 29 29 99 69 2c | 20 28 56 43 5f 28 6e 29 |_(n)).i,| (VC_(n)|
|000000d0| 29 99 6a 2c 20 6e 29 29 | 2c 20 6a 2c 20 30 2c 20 |).j, n))|, j, 0, |
|000000e0| 6e 29 2c 20 69 2c 20 31 | 2c 20 6e 29 0d 0a 43 41 |n), i, 1|, n)..CA|
|000000f0| 59 4c 45 59 44 28 6e 29 | 3a 3d 56 45 43 54 4f 52 |YLEYD(n)|:=VECTOR|
|00000100| 28 56 45 43 54 4f 52 28 | 49 46 28 6a 20 3d 20 30 |(VECTOR(|IF(j = 0|
|00000110| 2c 20 22 22 2c 20 4f 28 | 28 56 44 5f 28 6e 29 29 |, "", O(|(VD_(n))|
|00000120| 99 69 2c 20 28 56 44 5f | 28 6e 29 29 99 6a 2c 20 |.i, (VD_|(n)).j, |
|00000130| 6e 29 29 2c 20 6a 2c 20 | 30 2c 20 32 b7 6e 29 2c |n)), j, |0, 2.n),|
|00000140| 20 69 2c 20 31 2c 20 32 | b7 6e 29 0d 0a 43 4f 4e | i, 1, 2|.n)..CON|
|00000150| 4e 45 43 54 28 50 29 3a | 3d 56 45 43 54 4f 52 28 |NECT(P):|=VECTOR(|
|00000160| 4c 49 4e 45 5f 28 5b 50 | 99 69 2c 20 50 99 28 69 |LINE_([P|.i, P.(i|
|00000170| 20 2b 20 31 29 5d 29 2c | 20 69 2c 20 31 2c 20 44 | + 1)]),| i, 1, D|
|00000180| 49 4d 28 50 29 20 2d 20 | 31 29 0d 0a 43 4f 4e 4e |IM(P) - |1)..CONN|
|00000190| 45 43 54 53 28 50 29 3a | 3d 41 50 50 45 4e 44 28 |ECTS(P):|=APPEND(|
|000001a0| 56 45 43 54 4f 52 28 43 | 4f 4e 4e 45 43 54 28 50 |VECTOR(C|ONNECT(P|
|000001b0| 99 69 29 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 50 |.i), i, |1, DIM(P|
|000001c0| 29 29 29 0d 0a 43 58 5f | 28 55 2c 20 6e 29 3a 3d |)))..CX_|(U, n):=|
|000001d0| 43 5f 28 55 20 95 20 5b | 31 2c 20 30 3b 20 30 2c |C_(U . [|1, 0; 0,|
|000001e0| 20 2d 31 5d 2c 20 6e 29 | 0d 0a 43 59 5f 28 55 2c | -1], n)|..CY_(U,|
|000001f0| 20 6e 29 3a 3d 43 5f 28 | 55 20 95 20 5b 2d 31 2c | n):=C_(|U . [-1,|
|00000200| 20 30 3b 20 30 2c 20 31 | 5d 2c 20 6e 29 0d 0a 43 | 0; 0, 1|], n)..C|
|00000210| 5f 28 55 2c 20 6e 29 3a | 3d 56 45 43 54 4f 52 28 |_(U, n):|=VECTOR(|
|00000220| 55 20 95 20 72 6f 74 5f | 28 2d 20 32 b7 b9 b7 69 |U . rot_|(- 2...i|
|00000230| 2f 6e 29 2c 20 69 2c 20 | 30 2c 20 6e 20 2d 20 31 |/n), i, |0, n - 1|
|00000240| 29 0d 0a 43 63 28 75 2c | 20 6e 29 3a 3d 49 46 28 |)..Cc(u,| n):=IF(|
|00000250| 44 49 4d 28 75 99 31 29 | 20 3d 20 32 2c 20 43 5f |DIM(u.1)| = 2, C_|
|00000260| 28 75 2c 20 6e 29 2c 20 | 63 5f 28 75 2c 20 6e 29 |(u, n), |c_(u, n)|
|00000270| 2c 20 63 5f 28 75 2c 20 | 6e 29 29 0d 0a 43 63 73 |, c_(u, |n))..Ccs|
|00000280| 28 76 29 3a 3d 56 45 43 | 54 4f 52 28 43 63 28 76 |(v):=VEC|TOR(Cc(v|
|00000290| 99 69 99 31 2c 20 76 99 | 69 99 32 29 2c 20 69 2c |.i.1, v.|i.2), i,|
|000002a0| 20 31 2c 20 44 49 4d 28 | 76 29 29 0d 0a 43 63 78 | 1, DIM(|v))..Ccx|
|000002b0| 28 75 2c 20 6e 29 3a 3d | 49 46 28 44 49 4d 28 75 |(u, n):=|IF(DIM(u|
|000002c0| 99 31 29 20 3d 20 32 2c | 20 43 58 5f 28 75 2c 20 |.1) = 2,| CX_(u, |
|000002d0| 6e 29 2c 20 63 78 5f 28 | 75 2c 20 6e 29 2c 20 63 |n), cx_(|u, n), c|
|000002e0| 78 5f 28 75 2c 20 6e 29 | 29 0d 0a 43 63 78 73 28 |x_(u, n)|)..Ccxs(|
|000002f0| 76 29 3a 3d 56 45 43 54 | 4f 52 28 43 63 78 28 76 |v):=VECT|OR(Ccx(v|
|00000300| 99 69 99 31 2c 20 76 99 | 69 99 32 29 2c 20 69 2c |.i.1, v.|i.2), i,|
|00000310| 20 31 2c 20 44 49 4d 28 | 76 29 29 0d 0a 43 63 79 | 1, DIM(|v))..Ccy|
|00000320| 28 75 2c 20 6e 29 3a 3d | 49 46 28 44 49 4d 28 75 |(u, n):=|IF(DIM(u|
|00000330| 99 31 29 20 3d 20 32 2c | 20 43 59 5f 28 75 2c 20 |.1) = 2,| CY_(u, |
|00000340| 6e 29 2c 20 63 79 5f 28 | 75 2c 20 6e 29 2c 20 63 |n), cy_(|u, n), c|
|00000350| 79 5f 28 75 2c 20 6e 29 | 29 0d 0a 43 63 79 73 28 |y_(u, n)|)..Ccys(|
|00000360| 76 29 3a 3d 56 45 43 54 | 4f 52 28 43 63 79 28 76 |v):=VECT|OR(Ccy(v|
|00000370| 99 69 99 31 2c 20 76 99 | 69 99 32 29 2c 20 69 2c |.i.1, v.|i.2), i,|
|00000380| 20 31 2c 20 44 49 4d 28 | 76 29 29 0d 0a 44 49 41 | 1, DIM(|v))..DIA|
|00000390| 47 28 55 2c 20 6b 2c 20 | 6a 29 3a 3d 56 45 43 54 |G(U, k, |j):=VECT|
|000003a0| 4f 52 28 55 99 69 b7 5b | 6b 2c 20 30 3b 20 30 2c |OR(U.i.[|k, 0; 0,|
|000003b0| 20 6a 5d 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 55 | j], i, |1, DIM(U|
|000003c0| 29 29 0d 0a 44 49 47 28 | 55 2c 20 69 2c 20 6a 29 |))..DIG(|U, i, j)|
|000003d0| 3a 3d 55 b7 5b 69 2c 20 | 30 3b 20 30 2c 20 6a 5d |:=U.[i, |0; 0, j]|
|000003e0| 0d 0a 44 49 53 28 55 2c | 20 62 29 3a 3d 55 20 2b |..DIS(U,| b):=U +|
|000003f0| 20 56 45 43 54 4f 52 28 | 5b 62 2c 20 30 5d 2c 20 | VECTOR(|[b, 0], |
|00000400| 6b 2c 20 31 2c 20 44 49 | 4d 28 55 29 29 0d 0a 44 |k, 1, DI|M(U))..D|
|00000410| 49 53 50 28 55 2c 20 62 | 2c 20 68 2c 20 b2 29 3a |ISP(U, b|, h, .):|
|00000420| 3d 55 20 2b 20 56 45 43 | 54 4f 52 28 5b 62 20 2b |=U + VEC|TOR([b +|
|00000430| 20 68 b7 53 49 4e 28 b2 | 29 2c 20 68 b7 43 4f 53 | h.SIN(.|), h.COS|
|00000440| 28 b2 29 5d 2c 20 6b 2c | 20 31 2c 20 44 49 4d 28 |(.)], k,| 1, DIM(|
|00000450| 55 29 29 0d 0a 44 49 53 | 50 4c 41 43 45 28 55 2c |U))..DIS|PLACE(U,|
|00000460| 20 70 29 3a 3d 56 45 43 | 54 4f 52 28 56 45 43 54 | p):=VEC|TOR(VECT|
|00000470| 4f 52 28 55 99 69 99 6a | 20 2b 20 70 2c 20 6a 2c |OR(U.i.j| + p, j,|
|00000480| 20 31 2c 20 44 49 4d 28 | 55 99 69 29 29 2c 20 69 | 1, DIM(|U.i)), i|
|00000490| 2c 20 31 2c 20 44 49 4d | 28 55 29 29 0d 0a 44 49 |, 1, DIM|(U))..DI|
|000004a0| 53 53 28 55 2c 20 68 29 | 3a 3d 56 45 43 54 4f 52 |SS(U, h)|:=VECTOR|
|000004b0| 28 44 49 53 50 28 55 99 | 6b 2c 20 30 2c 20 68 2c |(DISP(U.|k, 0, h,|
|000004c0| 20 30 29 2c 20 6b 2c 20 | 31 2c 20 44 49 4d 28 55 | 0), k, |1, DIM(U|
|000004d0| 29 29 0d 0a 44 58 5f 28 | 55 2c 20 6e 29 3a 3d 41 |))..DX_(|U, n):=A|
|000004e0| 50 50 45 4e 44 28 5b 43 | 5f 28 55 2c 20 6e 29 2c |PPEND([C|_(U, n),|
|000004f0| 20 43 58 5f 28 55 2c 20 | 6e 29 5d 29 0d 0a 44 59 | CX_(U, |n)])..DY|
|00000500| 5f 28 55 2c 20 6e 29 3a | 3d 41 50 50 45 4e 44 28 |_(U, n):|=APPEND(|
|00000510| 5b 43 5f 28 55 2c 20 6e | 29 2c 20 43 59 5f 28 55 |[C_(U, n|), CY_(U|
|00000520| 2c 20 6e 29 5d 29 0d 0a | 44 5f 28 55 2c 20 6e 29 |, n)])..|D_(U, n)|
|00000530| 3a 3d 41 50 50 45 4e 44 | 28 5b 43 5f 28 55 2c 20 |:=APPEND|([C_(U, |
|00000540| 6e 29 2c 20 43 5f 28 55 | 20 95 20 5b 2d 31 2c 20 |n), C_(U| . [-1, |
|00000550| 30 3b 20 30 2c 20 31 5d | 2c 20 6e 29 5d 29 0d 0a |0; 0, 1]|, n)])..|
|00000560| 44 64 28 75 2c 20 6e 29 | 3a 3d 49 46 28 44 49 4d |Dd(u, n)|:=IF(DIM|
|00000570| 28 75 99 31 29 20 3d 20 | 32 2c 20 44 5f 28 75 2c |(u.1) = |2, D_(u,|
|00000580| 20 6e 29 2c 20 64 5f 28 | 75 2c 20 6e 29 2c 20 64 | n), d_(|u, n), d|
|00000590| 5f 28 75 2c 20 6e 29 29 | 0d 0a 44 64 73 28 76 29 |_(u, n))|..Dds(v)|
|000005a0| 3a 3d 56 45 43 54 4f 52 | 28 44 64 28 76 99 69 99 |:=VECTOR|(Dd(v.i.|
|000005b0| 31 2c 20 76 99 69 99 32 | 29 2c 20 69 2c 20 31 2c |1, v.i.2|), i, 1,|
|000005c0| 20 44 49 4d 28 76 29 29 | 0d 0a 44 64 78 28 75 2c | DIM(v))|..Ddx(u,|
|000005d0| 20 6e 29 3a 3d 49 46 28 | 44 49 4d 28 75 99 31 29 | n):=IF(|DIM(u.1)|
|000005e0| 20 3d 20 32 2c 20 44 58 | 5f 28 75 2c 20 6e 29 2c | = 2, DX|_(u, n),|
|000005f0| 20 64 78 5f 28 75 2c 20 | 6e 29 2c 20 64 78 5f 28 | dx_(u, |n), dx_(|
|00000600| 75 2c 20 6e 29 29 0d 0a | 44 64 78 73 28 76 29 3a |u, n))..|Ddxs(v):|
|00000610| 3d 56 45 43 54 4f 52 28 | 44 64 78 28 76 99 69 99 |=VECTOR(|Ddx(v.i.|
|00000620| 31 2c 20 76 99 69 99 32 | 29 2c 20 69 2c 20 31 2c |1, v.i.2|), i, 1,|
|00000630| 20 44 49 4d 28 76 29 29 | 0d 0a 44 64 79 28 75 2c | DIM(v))|..Ddy(u,|
|00000640| 20 6e 29 3a 3d 49 46 28 | 44 49 4d 28 75 99 31 29 | n):=IF(|DIM(u.1)|
|00000650| 20 3d 20 32 2c 20 44 59 | 5f 28 75 2c 20 6e 29 2c | = 2, DY|_(u, n),|
|00000660| 20 64 79 5f 28 75 2c 20 | 6e 29 2c 20 64 79 5f 28 | dy_(u, |n), dy_(|
|00000670| 75 2c 20 6e 29 29 0d 0a | 44 64 79 73 28 76 29 3a |u, n))..|Ddys(v):|
|00000680| 3d 56 45 43 54 4f 52 28 | 44 64 79 28 76 99 69 99 |=VECTOR(|Ddy(v.i.|
|00000690| 31 2c 20 76 99 69 99 32 | 29 2c 20 69 2c 20 31 2c |1, v.i.2|), i, 1,|
|000006a0| 20 44 49 4d 28 76 29 29 | 0d 0a 44 69 61 67 28 75 | DIM(v))|..Diag(u|
|000006b0| 2c 20 6b 2c 20 6a 29 3a | 3d 49 46 28 44 49 4d 28 |, k, j):|=IF(DIM(|
|000006c0| 75 99 31 99 31 29 20 3d | 20 32 2c 20 44 49 41 47 |u.1.1) =| 2, DIAG|
|000006d0| 28 75 2c 20 6b 2c 20 6a | 29 2c 20 64 69 61 67 28 |(u, k, j|), diag(|
|000006e0| 75 2c 20 6b 2c 20 6a 29 | 2c 20 64 69 61 67 28 75 |u, k, j)|, diag(u|
|000006f0| 2c 20 6b 2c 20 6a 29 29 | 0d 0a 44 69 61 67 73 28 |, k, j))|..Diags(|
|00000700| 76 2c 20 6b 2c 20 6a 29 | 3a 3d 56 45 43 54 4f 52 |v, k, j)|:=VECTOR|
|00000710| 28 44 69 61 67 28 76 99 | 69 2c 20 6b 2c 20 6a 29 |(Diag(v.|i, k, j)|
|00000720| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 76 29 29 0d |, i, 1, |DIM(v)).|
|00000730| 0a 44 69 73 70 6c 61 63 | 65 28 75 2c 20 70 29 3a |.Displac|e(u, p):|
|00000740| 3d 49 46 28 44 49 4d 28 | 75 99 31 99 31 29 20 3d |=IF(DIM(|u.1.1) =|
|00000750| 20 32 2c 20 44 49 53 50 | 4c 41 43 45 28 75 2c 20 | 2, DISP|LACE(u, |
|00000760| 70 29 2c 20 64 69 73 70 | 6c 61 63 65 28 75 2c 20 |p), disp|lace(u, |
|00000770| 70 29 2c 20 64 69 73 70 | 6c 61 63 65 28 75 2c 20 |p), disp|lace(u, |
|00000780| 70 29 29 0d 0a 44 69 73 | 70 6c 61 63 65 73 28 76 |p))..Dis|places(v|
|00000790| 2c 20 70 29 3a 3d 56 45 | 43 54 4f 52 28 44 69 73 |, p):=VE|CTOR(Dis|
|000007a0| 70 6c 61 63 65 28 76 99 | 69 2c 20 70 29 2c 20 69 |place(v.|i, p), i|
|000007b0| 2c 20 31 2c 20 44 49 4d | 28 76 29 29 0d 0a 47 50 |, 1, DIM|(v))..GP|
|000007c0| 4c 41 4e 45 31 32 28 55 | 2c 20 73 2c 20 6e 29 3a |LANE12(U|, s, n):|
|000007d0| 3d 41 50 50 45 4e 44 28 | 41 50 50 45 4e 44 28 56 |=APPEND(|APPEND(V|
|000007e0| 45 43 54 4f 52 28 5b 50 | 4c 41 4e 45 31 28 52 4f |ECTOR([P|LANE1(RO|
|000007f0| 54 28 55 2c 20 6b 2f 34 | 29 2c 20 32 b7 73 2c 20 |T(U, k/4|), 2.s, |
|00000800| 32 b7 73 2c 20 30 2c 20 | 6e 29 2c 20 50 4c 41 4e |2.s, 0, |n), PLAN|
|00000810| 45 31 28 44 49 53 50 28 | 44 49 47 28 52 4f 54 28 |E1(DISP(|DIG(ROT(|
|00000820| 55 2c 20 6b 2f 34 29 2c | 20 31 2c 20 2d 31 29 2c |U, k/4),| 1, -1),|
|00000830| 20 73 2c 20 30 2c 20 30 | 29 2c 20 32 b7 73 2c 20 | s, 0, 0|), 2.s, |
|00000840| 32 b7 73 2c 20 30 2c 20 | 6e 29 5d 2c 20 6b 2c 20 |2.s, 0, |n)], k, |
|00000850| 30 2c 20 33 29 29 29 0d | 0a 47 50 4c 41 4e 45 37 |0, 3))).|.GPLANE7|
|00000860| 28 55 2c 20 73 2c 20 74 | 2c 20 6e 29 3a 3d 41 50 |(U, s, t|, n):=AP|
|00000870| 50 45 4e 44 28 5b 50 4c | 41 4e 45 31 28 55 2c 20 |PEND([PL|ANE1(U, |
|00000880| 32 b7 73 2c 20 32 b7 74 | 2c 20 30 2c 20 6e 29 2c |2.s, 2.t|, 0, n),|
|00000890| 20 50 4c 41 4e 45 31 28 | 44 49 53 50 28 44 49 47 | PLANE1(|DISP(DIG|
|000008a0| 28 55 2c 20 31 2c 20 2d | 31 29 2c 20 32 2c 20 30 |(U, 1, -|1), 2, 0|
|000008b0| 2c 20 30 29 2c 20 32 b7 | 73 2c 20 32 b7 74 2c 20 |, 0), 2.|s, 2.t, |
|000008c0| 30 2c 20 6e 29 5d 29 0d | 0a 4c 49 4e 45 53 28 50 |0, n)]).|.LINES(P|
|000008d0| 29 3a 3d 56 45 43 54 4f | 52 28 4c 49 4e 45 5f 28 |):=VECTO|R(LINE_(|
|000008e0| 5b 50 99 69 99 31 2c 20 | 50 99 69 99 32 5d 29 2c |[P.i.1, |P.i.2]),|
|000008f0| 20 69 2c 20 31 2c 20 44 | 49 4d 28 50 29 29 0d 0a | i, 1, D|IM(P))..|
|00000900| 4c 49 4e 45 5f 28 50 29 | 3a 3d 5b 50 99 31 99 31 |LINE_(P)|:=[P.1.1|
|00000910| 20 2b 20 28 74 20 2b 20 | b9 29 2f 28 32 b7 b9 29 | + (t + |.)/(2..)|
|00000920| b7 28 50 99 32 99 31 20 | 2d 20 50 99 31 99 31 29 |.(P.2.1 |- P.1.1)|
|00000930| 2c 20 50 99 31 99 32 20 | 2b 20 28 74 20 2b 20 b9 |, P.1.2 |+ (t + .|
|00000940| 29 2f 28 32 b7 b9 29 b7 | 28 50 99 32 99 32 20 2d |)/(2..).|(P.2.2 -|
|00000950| 20 50 99 31 99 32 29 5d | 0d 0a 4f 28 73 2c 20 74 | P.1.2)]|..O(s, t|
|00000960| 2c 20 6e 29 3a 3d 5b 49 | 46 28 74 99 31 20 3d 20 |, n):=[I|F(t.1 = |
|00000970| 73 99 31 2c 20 22 72 22 | 2c 20 22 78 22 2c 20 22 |s.1, "r"|, "x", "|
|00000980| 78 22 29 2c 20 4d 4f 44 | 28 49 46 28 73 99 31 20 |x"), MOD|(IF(s.1 |
|00000990| 3d 20 22 72 22 2c 20 73 | 99 32 20 2b 20 74 99 32 |= "r", s|.2 + t.2|
|000009a0| 2c 20 73 99 32 20 2d 20 | 74 99 32 2c 20 73 99 32 |, s.2 - |t.2, s.2|
|000009b0| 20 2d 20 74 99 32 29 2c | 20 6e 29 5d 0d 0a 4f 52 | - t.2),| n)]..OR|
|000009c0| 53 28 76 29 3a 3d 4f 52 | 53 55 28 76 2c 20 44 49 |S(v):=OR|SU(v, DI|
|000009d0| 4d 28 76 29 29 0d 0a 4f | 52 53 55 28 76 2c 20 6e |M(v))..O|RSU(v, n|
|000009e0| 29 3a 3d 49 46 28 6e 20 | 3d 20 31 2c 20 76 99 31 |):=IF(n |= 1, v.1|
|000009f0| 2c 20 4f 52 53 55 28 76 | 2c 20 6e 20 2d 20 31 29 |, ORSU(v|, n - 1)|
|00000a00| 20 90 20 76 99 6e 29 0d | 0a 50 41 52 41 53 28 50 | . v.n).|.PARAS(P|
|00000a10| 29 3a 3d 56 45 43 54 4f | 52 28 50 41 52 41 5f 28 |):=VECTO|R(PARA_(|
|00000a20| 50 99 69 99 31 2c 20 50 | 99 69 99 32 2c 20 50 99 |P.i.1, P|.i.2, P.|
|00000a30| 69 99 33 29 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |i.3), i,| 1, DIM(|
|00000a40| 50 29 29 0d 0a 50 41 52 | 41 5f 28 50 2c 20 61 2c |P))..PAR|A_(P, a,|
|00000a50| 20 62 29 3a 3d 73 75 62 | 5f 28 50 2c 20 5b 28 74 | b):=sub|_(P, [(t|
|00000a60| b7 28 62 20 2d 20 61 29 | 20 2b 20 b9 b7 28 62 20 |.(b - a)| + ..(b |
|00000a70| 2b 20 61 29 29 2f 28 32 | b7 b9 29 5d 29 0d 0a 50 |+ a))/(2|..)])..P|
|00000a80| 4c 41 4e 45 31 28 55 2c | 20 73 2c 20 74 2c 20 b2 |LANE1(U,| s, t, .|
|00000a90| 2c 20 6e 29 3a 3d 41 50 | 50 45 4e 44 28 56 45 43 |, n):=AP|PEND(VEC|
|00000aa0| 54 4f 52 28 56 45 43 54 | 4f 52 28 44 49 53 50 28 |TOR(VECT|OR(DISP(|
|00000ab0| 55 2c 20 69 b7 73 2c 20 | 6a b7 74 2c 20 b2 29 2c |U, i.s, |j.t, .),|
|00000ac0| 20 69 2c 20 2d 6e 2c 20 | 6e 29 2c 20 6a 2c 20 2d | i, -n, |n), j, -|
|00000ad0| 6e 2c 20 6e 29 29 0d 0a | 50 4c 41 4e 45 31 30 28 |n, n))..|PLANE10(|
|00000ae0| 55 2c 20 73 2c 20 6e 29 | 3a 3d 41 50 50 45 4e 44 |U, s, n)|:=APPEND|
|00000af0| 28 56 45 43 54 4f 52 28 | 50 4c 41 4e 45 31 28 52 |(VECTOR(|PLANE1(R|
|00000b00| 4f 54 28 55 2c 20 6b 2f | 34 29 2c 20 73 2c 20 73 |OT(U, k/|4), s, s|
|00000b10| 2c 20 30 2c 20 6e 29 2c | 20 6b 2c 20 30 2c 20 33 |, 0, n),| k, 0, 3|
|00000b20| 29 29 0d 0a 50 4c 41 4e | 45 31 31 28 55 2c 20 73 |))..PLAN|E11(U, s|
|00000b30| 2c 20 6e 29 3a 3d 41 50 | 50 45 4e 44 28 5b 50 4c |, n):=AP|PEND([PL|
|00000b40| 41 4e 45 31 30 28 55 2c | 20 73 2c 20 6e 29 2c 20 |ANE10(U,| s, n), |
|00000b50| 50 4c 41 4e 45 31 30 28 | 44 49 47 28 55 2c 20 31 |PLANE10(|DIG(U, 1|
|00000b60| 2c 20 2d 31 29 2c 20 73 | 2c 20 6e 29 5d 29 0d 0a |, -1), s|, n)])..|
|00000b70| 50 4c 41 4e 45 31 32 28 | 55 2c 20 73 2c 20 6e 29 |PLANE12(|U, s, n)|
|00000b80| 3a 3d 41 50 50 45 4e 44 | 28 5b 47 50 4c 41 4e 45 |:=APPEND|([GPLANE|
|00000b90| 31 32 28 55 2c 20 73 2c | 20 6e 29 2c 20 44 49 53 |12(U, s,| n), DIS|
|00000ba0| 53 28 47 50 4c 41 4e 45 | 31 32 28 44 49 47 28 55 |S(GPLANE|12(DIG(U|
|00000bb0| 2c 20 31 2c 20 2d 31 29 | 2c 20 73 2c 20 6e 29 2c |, 1, -1)|, s, n),|
|00000bc0| 20 73 29 5d 29 0d 0a 50 | 4c 41 4e 45 31 33 28 55 | s)])..P|LANE13(U|
|00000bd0| 2c 20 73 2c 20 6e 29 3a | 3d 41 50 50 45 4e 44 28 |, s, n):|=APPEND(|
|00000be0| 56 45 43 54 4f 52 28 50 | 4c 41 4e 45 31 28 52 4f |VECTOR(P|LANE1(RO|
|00000bf0| 54 28 55 2c 20 6b 2f 33 | 29 2c 20 73 2c 20 73 2c |T(U, k/3|), s, s,|
|00000c00| 20 b9 2f 36 2c 20 6e 29 | 2c 20 6b 2c 20 30 2c 20 | ./6, n)|, k, 0, |
|00000c10| 32 29 29 0d 0a 50 4c 41 | 4e 45 31 34 28 55 2c 20 |2))..PLA|NE14(U, |
|00000c20| 73 2c 20 6e 29 3a 3d 41 | 50 50 45 4e 44 28 5b 50 |s, n):=A|PPEND([P|
|00000c30| 4c 41 4e 45 31 33 28 55 | 2c 20 73 2c 20 6e 29 2c |LANE13(U|, s, n),|
|00000c40| 20 50 4c 41 4e 45 31 33 | 28 44 49 47 28 55 2c 20 | PLANE13|(DIG(U, |
|00000c50| 31 2c 20 2d 31 29 2c 20 | 73 2c 20 6e 29 5d 29 0d |1, -1), |s, n)]).|
|00000c60| 0a 50 4c 41 4e 45 31 35 | 28 55 2c 20 73 2c 20 6e |.PLANE15|(U, s, n|
|00000c70| 29 3a 3d 41 50 50 45 4e | 44 28 5b 50 4c 41 4e 45 |):=APPEN|D([PLANE|
|00000c80| 31 33 28 55 2c 20 73 2c | 20 6e 29 2c 20 50 4c 41 |13(U, s,| n), PLA|
|00000c90| 4e 45 31 33 28 44 49 47 | 28 55 2c 20 2d 31 2c 20 |NE13(DIG|(U, -1, |
|00000ca0| 31 29 2c 20 73 2c 20 6e | 29 5d 29 0d 0a 50 4c 41 |1), s, n|)])..PLA|
|00000cb0| 4e 45 31 36 28 55 2c 20 | 73 2c 20 6e 29 3a 3d 41 |NE16(U, |s, n):=A|
|00000cc0| 50 50 45 4e 44 28 56 45 | 43 54 4f 52 28 50 4c 41 |PPEND(VE|CTOR(PLA|
|00000cd0| 4e 45 31 28 52 4f 54 28 | 55 2c 20 6b 2f 36 29 2c |NE1(ROT(|U, k/6),|
|00000ce0| 20 73 2c 20 73 2c 20 b9 | 2f 36 2c 20 6e 29 2c 20 | s, s, .|/6, n), |
|00000cf0| 6b 2c 20 30 2c 20 35 29 | 29 0d 0a 50 4c 41 4e 45 |k, 0, 5)|)..PLANE|
|00000d00| 31 37 28 55 2c 20 73 2c | 20 6e 29 3a 3d 41 50 50 |17(U, s,| n):=APP|
|00000d10| 45 4e 44 28 5b 50 4c 41 | 4e 45 31 36 28 55 2c 20 |END([PLA|NE16(U, |
|00000d20| 73 2c 20 6e 29 2c 20 50 | 4c 41 4e 45 31 36 28 44 |s, n), P|LANE16(D|
|00000d30| 49 47 28 55 2c 20 31 2c | 20 2d 31 29 2c 20 73 2c |IG(U, 1,| -1), s,|
|00000d40| 20 6e 29 5d 29 0d 0a 50 | 4c 41 4e 45 32 28 55 2c | n)])..P|LANE2(U,|
|00000d50| 20 73 2c 20 74 2c 20 b2 | 2c 20 6e 29 3a 3d 41 50 | s, t, .|, n):=AP|
|00000d60| 50 45 4e 44 28 5b 50 4c | 41 4e 45 31 28 55 2c 20 |PEND([PL|ANE1(U, |
|00000d70| 73 2c 20 74 2c 20 b2 2c | 20 6e 29 2c 20 50 4c 41 |s, t, .,| n), PLA|
|00000d80| 4e 45 31 28 52 4f 54 28 | 55 2c 20 31 2f 32 29 2c |NE1(ROT(|U, 1/2),|
|00000d90| 20 73 2c 20 74 2c 20 b2 | 2c 20 6e 29 5d 29 0d 0a | s, t, .|, n)])..|
|00000da0| 50 4c 41 4e 45 33 28 55 | 2c 20 73 2c 20 74 2c 20 |PLANE3(U|, s, t, |
|00000db0| 6e 29 3a 3d 41 50 50 45 | 4e 44 28 5b 50 4c 41 4e |n):=APPE|ND([PLAN|
|00000dc0| 45 31 28 55 2c 20 73 2c | 20 74 2c 20 30 2c 20 6e |E1(U, s,| t, 0, n|
|00000dd0| 29 2c 20 50 4c 41 4e 45 | 31 28 44 49 47 28 55 2c |), PLANE|1(DIG(U,|
|00000de0| 20 2d 31 2c 20 31 29 2c | 20 73 2c 20 74 2c 20 30 | -1, 1),| s, t, 0|
|00000df0| 2c 20 6e 29 5d 29 0d 0a | 50 4c 41 4e 45 34 28 55 |, n)])..|PLANE4(U|
|00000e00| 2c 20 73 2c 20 74 2c 20 | 6e 29 3a 3d 41 50 50 45 |, s, t, |n):=APPE|
|00000e10| 4e 44 28 5b 50 4c 41 4e | 45 31 28 55 2c 20 32 b7 |ND([PLAN|E1(U, 2.|
|00000e20| 73 2c 20 32 b7 74 2c 20 | 30 2c 20 6e 29 2c 20 50 |s, 2.t, |0, n), P|
|00000e30| 4c 41 4e 45 31 28 44 49 | 53 50 28 44 49 47 28 55 |LANE1(DI|SP(DIG(U|
|00000e40| 2c 20 2d 31 2c 20 31 29 | 2c 20 30 2c 20 74 2c 20 |, -1, 1)|, 0, t, |
|00000e50| 30 29 2c 20 32 b7 73 2c | 20 32 b7 74 2c 20 30 2c |0), 2.s,| 2.t, 0,|
|00000e60| 20 6e 29 5d 29 0d 0a 50 | 4c 41 4e 45 35 28 55 2c | n)])..P|LANE5(U,|
|00000e70| 20 73 2c 20 74 2c 20 6e | 29 3a 3d 41 50 50 45 4e | s, t, n|):=APPEN|
|00000e80| 44 28 5b 50 4c 41 4e 45 | 33 28 55 2c 20 73 2c 20 |D([PLANE|3(U, s, |
|00000e90| 74 2c 20 6e 29 2c 20 50 | 4c 41 4e 45 33 28 44 49 |t, n), P|LANE3(DI|
|00000ea0| 47 28 55 2c 20 31 2c 20 | 2d 31 29 2c 20 73 2c 20 |G(U, 1, |-1), s, |
|00000eb0| 74 2c 20 6e 29 5d 29 0d | 0a 50 4c 41 4e 45 36 28 |t, n)]).|.PLANE6(|
|00000ec0| 55 2c 20 73 2c 20 74 2c | 20 6e 29 3a 3d 41 50 50 |U, s, t,| n):=APP|
|00000ed0| 45 4e 44 28 5b 50 4c 41 | 4e 45 34 28 55 2c 20 73 |END([PLA|NE4(U, s|
|00000ee0| 2c 20 74 2c 20 6e 29 2c | 20 50 4c 41 4e 45 34 28 |, t, n),| PLANE4(|
|00000ef0| 44 49 47 28 55 2c 20 31 | 2c 20 2d 31 29 2c 20 73 |DIG(U, 1|, -1), s|
|00000f00| 2c 20 74 2c 20 6e 29 5d | 29 0d 0a 50 4c 41 4e 45 |, t, n)]|)..PLANE|
|00000f10| 37 28 55 2c 20 73 2c 20 | 74 2c 20 6e 29 3a 3d 41 |7(U, s, |t, n):=A|
|00000f20| 50 50 45 4e 44 28 5b 47 | 50 4c 41 4e 45 37 28 55 |PPEND([G|PLANE7(U|
|00000f30| 2c 20 73 2c 20 74 2c 20 | 6e 29 2c 20 47 50 4c 41 |, s, t, |n), GPLA|
|00000f40| 4e 45 37 28 44 49 53 50 | 28 44 49 47 28 55 2c 20 |NE7(DISP|(DIG(U, |
|00000f50| 2d 31 2c 20 31 29 2c 20 | 30 2c 20 74 2c 20 30 29 |-1, 1), |0, t, 0)|
|00000f60| 2c 20 73 2c 20 74 2c 20 | 6e 29 5d 29 0d 0a 50 4c |, s, t, |n)])..PL|
|00000f70| 41 4e 45 38 28 55 2c 20 | 73 2c 20 74 2c 20 6e 29 |ANE8(U, |s, t, n)|
|00000f80| 3a 3d 41 50 50 45 4e 44 | 28 5b 50 4c 41 4e 45 31 |:=APPEND|([PLANE1|
|00000f90| 28 55 2c 20 73 2c 20 74 | 2c 20 41 53 49 4e 28 73 |(U, s, t|, ASIN(s|
|00000fa0| 2f 28 32 b7 74 29 29 2c | 20 6e 29 2c 20 50 4c 41 |/(2.t)),| n), PLA|
|00000fb0| 4e 45 31 28 44 49 47 28 | 55 2c 20 2d 31 2c 20 31 |NE1(DIG(|U, -1, 1|
|00000fc0| 29 2c 20 73 2c 20 74 2c | 20 41 53 49 4e 28 73 2f |), s, t,| ASIN(s/|
|00000fd0| 28 32 b7 74 29 29 2c 20 | 6e 29 5d 29 0d 0a 50 4c |(2.t)), |n)])..PL|
|00000fe0| 41 4e 45 39 28 55 2c 20 | 73 2c 20 74 2c 20 6e 29 |ANE9(U, |s, t, n)|
|00000ff0| 3a 3d 41 50 50 45 4e 44 | 28 5b 50 4c 41 4e 45 38 |:=APPEND|([PLANE8|
|00001000| 28 55 2c 20 73 2c 20 74 | 2c 20 6e 29 2c 20 50 4c |(U, s, t|, n), PL|
|00001010| 41 4e 45 38 28 44 49 47 | 28 55 2c 20 31 2c 20 2d |ANE8(DIG|(U, 1, -|
|00001020| 31 29 2c 20 73 2c 20 74 | 2c 20 6e 29 5d 29 0d 0a |1), s, t|, n)])..|
|00001030| 50 6c 61 6e 65 31 28 75 | 2c 20 73 2c 20 74 2c 20 |Plane1(u|, s, t, |
|00001040| b2 29 3a 3d 49 46 28 44 | 49 4d 28 75 99 31 29 20 |.):=IF(D|IM(u.1) |
|00001050| 3d 20 32 2c 20 50 4c 41 | 4e 45 31 28 75 2c 20 73 |= 2, PLA|NE1(u, s|
|00001060| 2c 20 74 2c 20 b2 2c 20 | 34 29 2c 20 70 6c 61 6e |, t, ., |4), plan|
|00001070| 65 31 28 75 2c 20 73 2c | 20 74 2c 20 b2 29 2c 20 |e1(u, s,| t, .), |
|00001080| 70 6c 61 6e 65 31 28 75 | 2c 20 73 2c 20 74 2c 20 |plane1(u|, s, t, |
|00001090| b2 29 29 0d 0a 50 6c 61 | 6e 65 31 30 28 75 2c 20 |.))..Pla|ne10(u, |
|000010a0| 73 29 3a 3d 49 46 28 44 | 49 4d 28 75 99 31 29 20 |s):=IF(D|IM(u.1) |
|000010b0| 3d 20 32 2c 20 50 4c 41 | 4e 45 31 30 28 75 2c 20 |= 2, PLA|NE10(u, |
|000010c0| 73 2c 20 34 29 2c 20 70 | 6c 61 6e 65 31 30 28 75 |s, 4), p|lane10(u|
|000010d0| 2c 20 73 29 2c 20 70 6c | 61 6e 65 31 30 28 75 2c |, s), pl|ane10(u,|
|000010e0| 20 73 29 29 0d 0a 50 6c | 61 6e 65 31 31 28 75 2c | s))..Pl|ane11(u,|
|000010f0| 20 73 29 3a 3d 49 46 28 | 44 49 4d 28 75 99 31 29 | s):=IF(|DIM(u.1)|
|00001100| 20 3d 20 32 2c 20 50 4c | 41 4e 45 31 31 28 75 2c | = 2, PL|ANE11(u,|
|00001110| 20 73 2c 20 34 29 2c 20 | 70 6c 61 6e 65 31 31 28 | s, 4), |plane11(|
|00001120| 75 2c 20 73 29 2c 20 70 | 6c 61 6e 65 31 31 28 75 |u, s), p|lane11(u|
|00001130| 2c 20 73 29 29 0d 0a 50 | 6c 61 6e 65 31 32 28 75 |, s))..P|lane12(u|
|00001140| 2c 20 73 29 3a 3d 49 46 | 28 44 49 4d 28 75 99 31 |, s):=IF|(DIM(u.1|
|00001150| 29 20 3d 20 32 2c 20 50 | 4c 41 4e 45 31 32 28 75 |) = 2, P|LANE12(u|
|00001160| 2c 20 73 2c 20 34 29 2c | 20 70 6c 61 6e 65 31 32 |, s, 4),| plane12|
|00001170| 28 75 2c 20 73 29 2c 20 | 70 6c 61 6e 65 31 32 28 |(u, s), |plane12(|
|00001180| 75 2c 20 73 29 29 0d 0a | 50 6c 61 6e 65 31 33 28 |u, s))..|Plane13(|
|00001190| 75 2c 20 73 29 3a 3d 49 | 46 28 44 49 4d 28 75 99 |u, s):=I|F(DIM(u.|
|000011a0| 31 29 20 3d 20 32 2c 20 | 50 4c 41 4e 45 31 33 28 |1) = 2, |PLANE13(|
|000011b0| 75 2c 20 73 2c 20 34 29 | 2c 20 70 6c 61 6e 65 31 |u, s, 4)|, plane1|
|000011c0| 33 28 75 2c 20 73 29 2c | 20 70 6c 61 6e 65 31 33 |3(u, s),| plane13|
|000011d0| 28 75 2c 20 73 29 29 0d | 0a 50 6c 61 6e 65 31 34 |(u, s)).|.Plane14|
|000011e0| 28 75 2c 20 73 29 3a 3d | 49 46 28 44 49 4d 28 75 |(u, s):=|IF(DIM(u|
|000011f0| 99 31 29 20 3d 20 32 2c | 20 50 4c 41 4e 45 31 34 |.1) = 2,| PLANE14|
|00001200| 28 75 2c 20 73 2c 20 34 | 29 2c 20 70 6c 61 6e 65 |(u, s, 4|), plane|
|00001210| 31 34 28 75 2c 20 73 29 | 2c 20 70 6c 61 6e 65 31 |14(u, s)|, plane1|
|00001220| 34 28 75 2c 20 73 29 29 | 0d 0a 50 6c 61 6e 65 31 |4(u, s))|..Plane1|
|00001230| 35 28 75 2c 20 73 29 3a | 3d 49 46 28 44 49 4d 28 |5(u, s):|=IF(DIM(|
|00001240| 75 99 31 29 20 3d 20 32 | 2c 20 50 4c 41 4e 45 31 |u.1) = 2|, PLANE1|
|00001250| 35 28 75 2c 20 73 2c 20 | 34 29 2c 20 70 6c 61 6e |5(u, s, |4), plan|
|00001260| 65 31 35 28 75 2c 20 73 | 29 2c 20 70 6c 61 6e 65 |e15(u, s|), plane|
|00001270| 31 35 28 75 2c 20 73 29 | 29 0d 0a 50 6c 61 6e 65 |15(u, s)|)..Plane|
|00001280| 31 36 28 75 2c 20 73 29 | 3a 3d 49 46 28 44 49 4d |16(u, s)|:=IF(DIM|
|00001290| 28 75 99 31 29 20 3d 20 | 32 2c 20 50 4c 41 4e 45 |(u.1) = |2, PLANE|
|000012a0| 31 36 28 75 2c 20 73 2c | 20 34 29 2c 20 70 6c 61 |16(u, s,| 4), pla|
|000012b0| 6e 65 31 36 28 75 2c 20 | 73 29 2c 20 70 6c 61 6e |ne16(u, |s), plan|
|000012c0| 65 31 36 28 75 2c 20 73 | 29 29 0d 0a 50 6c 61 6e |e16(u, s|))..Plan|
|000012d0| 65 31 37 28 75 2c 20 73 | 29 3a 3d 49 46 28 44 49 |e17(u, s|):=IF(DI|
|000012e0| 4d 28 75 99 31 29 20 3d | 20 32 2c 20 50 4c 41 4e |M(u.1) =| 2, PLAN|
|000012f0| 45 31 37 28 75 2c 20 73 | 2c 20 34 29 2c 20 70 6c |E17(u, s|, 4), pl|
|00001300| 61 6e 65 31 37 28 75 2c | 20 73 29 2c 20 70 6c 61 |ane17(u,| s), pla|
|00001310| 6e 65 31 37 28 75 2c 20 | 73 29 29 0d 0a 50 6c 61 |ne17(u, |s))..Pla|
|00001320| 6e 65 32 28 75 2c 20 73 | 2c 20 74 2c 20 b2 29 3a |ne2(u, s|, t, .):|
|00001330| 3d 49 46 28 44 49 4d 28 | 75 99 31 29 20 3d 20 32 |=IF(DIM(|u.1) = 2|
|00001340| 2c 20 50 4c 41 4e 45 32 | 28 75 2c 20 73 2c 20 74 |, PLANE2|(u, s, t|
|00001350| 2c 20 b2 2c 20 34 29 2c | 20 70 6c 61 6e 65 32 28 |, ., 4),| plane2(|
|00001360| 75 2c 20 73 2c 20 74 2c | 20 b2 29 2c 20 70 6c 61 |u, s, t,| .), pla|
|00001370| 6e 65 32 28 75 2c 20 73 | 2c 20 74 2c 20 b2 29 29 |ne2(u, s|, t, .))|
|00001380| 0d 0a 50 6c 61 6e 65 33 | 28 75 2c 20 73 2c 20 74 |..Plane3|(u, s, t|
|00001390| 29 3a 3d 49 46 28 44 49 | 4d 28 75 99 31 29 20 3d |):=IF(DI|M(u.1) =|
|000013a0| 20 32 2c 20 50 4c 41 4e | 45 33 28 75 2c 20 73 2c | 2, PLAN|E3(u, s,|
|000013b0| 20 74 2c 20 34 29 2c 20 | 70 6c 61 6e 65 33 28 75 | t, 4), |plane3(u|
|000013c0| 2c 20 73 2c 20 74 29 2c | 20 70 6c 61 6e 65 33 28 |, s, t),| plane3(|
|000013d0| 75 2c 20 73 2c 20 74 29 | 29 0d 0a 50 6c 61 6e 65 |u, s, t)|)..Plane|
|000013e0| 34 28 75 2c 20 73 2c 20 | 74 29 3a 3d 49 46 28 44 |4(u, s, |t):=IF(D|
|000013f0| 49 4d 28 75 99 31 29 20 | 3d 20 32 2c 20 50 4c 41 |IM(u.1) |= 2, PLA|
|00001400| 4e 45 34 28 75 2c 20 73 | 2c 20 74 2c 20 34 29 2c |NE4(u, s|, t, 4),|
|00001410| 20 70 6c 61 6e 65 34 28 | 75 2c 20 73 2c 20 74 29 | plane4(|u, s, t)|
|00001420| 2c 20 70 6c 61 6e 65 34 | 28 75 2c 20 73 2c 20 74 |, plane4|(u, s, t|
|00001430| 29 29 0d 0a 50 6c 61 6e | 65 35 28 75 2c 20 73 2c |))..Plan|e5(u, s,|
|00001440| 20 74 29 3a 3d 49 46 28 | 44 49 4d 28 75 99 31 29 | t):=IF(|DIM(u.1)|
|00001450| 20 3d 20 32 2c 20 50 4c | 41 4e 45 35 28 75 2c 20 | = 2, PL|ANE5(u, |
|00001460| 73 2c 20 74 2c 20 34 29 | 2c 20 70 6c 61 6e 65 35 |s, t, 4)|, plane5|
|00001470| 28 75 2c 20 73 2c 20 74 | 29 2c 20 70 6c 61 6e 65 |(u, s, t|), plane|
|00001480| 35 28 75 2c 20 73 2c 20 | 74 29 29 0d 0a 50 6c 61 |5(u, s, |t))..Pla|
|00001490| 6e 65 36 28 75 2c 20 73 | 2c 20 74 29 3a 3d 49 46 |ne6(u, s|, t):=IF|
|000014a0| 28 44 49 4d 28 75 99 31 | 29 20 3d 20 32 2c 20 50 |(DIM(u.1|) = 2, P|
|000014b0| 4c 41 4e 45 36 28 75 2c | 20 73 2c 20 74 2c 20 34 |LANE6(u,| s, t, 4|
|000014c0| 29 2c 20 70 6c 61 6e 65 | 36 28 75 2c 20 73 2c 20 |), plane|6(u, s, |
|000014d0| 74 29 2c 20 70 6c 61 6e | 65 36 28 75 2c 20 73 2c |t), plan|e6(u, s,|
|000014e0| 20 74 29 29 0d 0a 50 6c | 61 6e 65 37 28 75 2c 20 | t))..Pl|ane7(u, |
|000014f0| 73 2c 20 74 29 3a 3d 49 | 46 28 44 49 4d 28 75 99 |s, t):=I|F(DIM(u.|
|00001500| 31 29 20 3d 20 32 2c 20 | 50 4c 41 4e 45 37 28 75 |1) = 2, |PLANE7(u|
|00001510| 2c 20 73 2c 20 74 2c 20 | 34 29 2c 20 70 6c 61 6e |, s, t, |4), plan|
|00001520| 65 37 28 75 2c 20 73 2c | 20 74 29 2c 20 70 6c 61 |e7(u, s,| t), pla|
|00001530| 6e 65 37 28 75 2c 20 73 | 2c 20 74 29 29 0d 0a 50 |ne7(u, s|, t))..P|
|00001540| 6c 61 6e 65 38 28 75 2c | 20 73 2c 20 74 29 3a 3d |lane8(u,| s, t):=|
|00001550| 49 46 28 44 49 4d 28 75 | 99 31 29 20 3d 20 32 2c |IF(DIM(u|.1) = 2,|
|00001560| 20 50 4c 41 4e 45 38 28 | 75 2c 20 73 2c 20 74 2c | PLANE8(|u, s, t,|
|00001570| 20 34 29 2c 20 70 6c 61 | 6e 65 38 28 75 2c 20 73 | 4), pla|ne8(u, s|
|00001580| 2c 20 74 29 2c 20 70 6c | 61 6e 65 38 28 75 2c 20 |, t), pl|ane8(u, |
|00001590| 73 2c 20 74 29 29 0d 0a | 50 6c 61 6e 65 39 28 75 |s, t))..|Plane9(u|
|000015a0| 2c 20 73 2c 20 74 29 3a | 3d 49 46 28 44 49 4d 28 |, s, t):|=IF(DIM(|
|000015b0| 75 99 31 29 20 3d 20 32 | 2c 20 50 4c 41 4e 45 39 |u.1) = 2|, PLANE9|
|000015c0| 28 75 2c 20 73 2c 20 74 | 2c 20 34 29 2c 20 70 6c |(u, s, t|, 4), pl|
|000015d0| 61 6e 65 39 28 75 2c 20 | 73 2c 20 74 29 2c 20 70 |ane9(u, |s, t), p|
|000015e0| 6c 61 6e 65 39 28 75 2c | 20 73 2c 20 74 29 29 0d |lane9(u,| s, t)).|
|000015f0| 0a 50 6c 61 6e 65 73 31 | 28 76 29 3a 3d 56 45 43 |.Planes1|(v):=VEC|
|00001600| 54 4f 52 28 50 6c 61 6e | 65 31 28 76 99 69 99 31 |TOR(Plan|e1(v.i.1|
|00001610| 2c 20 76 99 69 99 32 2c | 20 76 99 69 99 33 2c 20 |, v.i.2,| v.i.3, |
|00001620| 76 99 69 99 34 29 2c 20 | 69 2c 20 31 2c 20 44 49 |v.i.4), |i, 1, DI|
|00001630| 4d 28 76 29 29 0d 0a 50 | 6c 61 6e 65 73 31 30 28 |M(v))..P|lanes10(|
|00001640| 76 29 3a 3d 56 45 43 54 | 4f 52 28 50 6c 61 6e 65 |v):=VECT|OR(Plane|
|00001650| 31 30 28 76 99 69 99 31 | 2c 20 76 99 69 99 32 29 |10(v.i.1|, v.i.2)|
|00001660| 2c 20 69 2c 20 31 2c 20 | 44 49 4d 28 76 29 29 0d |, i, 1, |DIM(v)).|
|00001670| 0a 50 6c 61 6e 65 73 31 | 31 28 76 29 3a 3d 56 45 |.Planes1|1(v):=VE|
|00001680| 43 54 4f 52 28 50 6c 61 | 6e 65 31 31 28 76 99 69 |CTOR(Pla|ne11(v.i|
|00001690| 99 31 2c 20 76 99 69 99 | 32 29 2c 20 69 2c 20 31 |.1, v.i.|2), i, 1|
|000016a0| 2c 20 44 49 4d 28 76 29 | 29 0d 0a 50 6c 61 6e 65 |, DIM(v)|)..Plane|
|000016b0| 73 31 32 28 76 29 3a 3d | 56 45 43 54 4f 52 28 50 |s12(v):=|VECTOR(P|
|000016c0| 6c 61 6e 65 31 32 28 76 | 99 69 99 31 2c 20 76 99 |lane12(v|.i.1, v.|
|000016d0| 69 99 32 29 2c 20 69 2c | 20 31 2c 20 44 49 4d 28 |i.2), i,| 1, DIM(|
|000016e0| 76 29 29 0d 0a 50 6c 61 | 6e 65 73 31 33 28 76 29 |v))..Pla|nes13(v)|
|000016f0| 3a 3d 56 45 43 54 4f 52 | 28 50 6c 61 6e 65 31 33 |:=VECTOR|(Plane13|
|00001700| 28 76 99 69 99 31 2c 20 | 76 99 69 99 32 29 2c 20 |(v.i.1, |v.i.2), |
|00001710| 69 2c 20 31 2c 20 44 49 | 4d 28 76 29 29 0d 0a 50 |i, 1, DI|M(v))..P|
|00001720| 6c 61 6e 65 73 31 34 28 | 76 29 3a 3d 56 45 43 54 |lanes14(|v):=VECT|
|00001730| 4f 52 28 50 6c 61 6e 65 | 31 34 28 76 99 69 99 31 |OR(Plane|14(v.i.1|
|00001740| 2c 20 76 99 69 99 32 29 | 2c 20 69 2c 20 31 2c 20 |, v.i.2)|, i, 1, |
|00001750| 44 49 4d 28 76 29 29 0d | 0a 50 6c 61 6e 65 73 31 |DIM(v)).|.Planes1|
|00001760| 35 28 76 29 3a 3d 56 45 | 43 54 4f 52 28 50 6c 61 |5(v):=VE|CTOR(Pla|
|00001770| 6e 65 31 35 28 76 99 69 | 99 31 2c 20 76 99 69 99 |ne15(v.i|.1, v.i.|
|00001780| 32 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 76 29 |2), i, 1|, DIM(v)|
|00001790| 29 0d 0a 50 6c 61 6e 65 | 73 31 36 28 76 29 3a 3d |)..Plane|s16(v):=|
|000017a0| 56 45 43 54 4f 52 28 50 | 6c 61 6e 65 31 36 28 76 |VECTOR(P|lane16(v|
|000017b0| 99 69 99 31 2c 20 76 99 | 69 99 32 29 2c 20 69 2c |.i.1, v.|i.2), i,|
|000017c0| 20 31 2c 20 44 49 4d 28 | 76 29 29 0d 0a 50 6c 61 | 1, DIM(|v))..Pla|
|000017d0| 6e 65 73 31 37 28 76 29 | 3a 3d 56 45 43 54 4f 52 |nes17(v)|:=VECTOR|
|000017e0| 28 50 6c 61 6e 65 31 37 | 28 76 99 69 99 31 2c 20 |(Plane17|(v.i.1, |
|000017f0| 76 99 69 99 32 29 2c 20 | 69 2c 20 31 2c 20 44 49 |v.i.2), |i, 1, DI|
|00001800| 4d 28 76 29 29 0d 0a 50 | 6c 61 6e 65 73 32 28 76 |M(v))..P|lanes2(v|
|00001810| 29 3a 3d 56 45 43 54 4f | 52 28 50 6c 61 6e 65 32 |):=VECTO|R(Plane2|
|00001820| 28 76 99 69 99 31 2c 20 | 76 99 69 99 32 2c 20 76 |(v.i.1, |v.i.2, v|
|00001830| 99 69 99 33 2c 20 76 99 | 69 99 34 29 2c 20 69 2c |.i.3, v.|i.4), i,|
|00001840| 20 31 2c 20 44 49 4d 28 | 76 29 29 0d 0a 50 6c 61 | 1, DIM(|v))..Pla|
|00001850| 6e 65 73 33 28 76 29 3a | 3d 56 45 43 54 4f 52 28 |nes3(v):|=VECTOR(|
|00001860| 50 6c 61 6e 65 33 28 76 | 99 69 99 31 2c 20 76 99 |Plane3(v|.i.1, v.|
|00001870| 69 99 32 2c 20 76 99 69 | 99 33 29 2c 20 69 2c 20 |i.2, v.i|.3), i, |
|00001880| 31 2c 20 44 49 4d 28 76 | 29 29 0d 0a 50 6c 61 6e |1, DIM(v|))..Plan|
|00001890| 65 73 34 28 76 29 3a 3d | 56 45 43 54 4f 52 28 50 |es4(v):=|VECTOR(P|
|000018a0| 6c 61 6e 65 34 28 76 99 | 69 99 31 2c 20 76 99 69 |lane4(v.|i.1, v.i|
|000018b0| 99 32 2c 20 76 99 69 99 | 33 29 2c 20 69 2c 20 31 |.2, v.i.|3), i, 1|
|000018c0| 2c 20 44 49 4d 28 76 29 | 29 0d 0a 50 6c 61 6e 65 |, DIM(v)|)..Plane|
|000018d0| 73 35 28 76 29 3a 3d 56 | 45 43 54 4f 52 28 50 6c |s5(v):=V|ECTOR(Pl|
|000018e0| 61 6e 65 35 28 76 99 69 | 99 31 2c 20 76 99 69 99 |ane5(v.i|.1, v.i.|
|000018f0| 32 2c 20 76 99 69 99 33 | 29 2c 20 69 2c 20 31 2c |2, v.i.3|), i, 1,|
|00001900| 20 44 49 4d 28 76 29 29 | 0d 0a 50 6c 61 6e 65 73 | DIM(v))|..Planes|
|00001910| 36 28 76 29 3a 3d 56 45 | 43 54 4f 52 28 50 6c 61 |6(v):=VE|CTOR(Pla|
|00001920| 6e 65 36 28 76 99 69 99 | 31 2c 20 76 99 69 99 32 |ne6(v.i.|1, v.i.2|
|00001930| 2c 20 76 99 69 99 33 29 | 2c 20 69 2c 20 31 2c 20 |, v.i.3)|, i, 1, |
|00001940| 44 49 4d 28 76 29 29 0d | 0a 50 6c 61 6e 65 73 37 |DIM(v)).|.Planes7|
|00001950| 28 76 29 3a 3d 56 45 43 | 54 4f 52 28 50 6c 61 6e |(v):=VEC|TOR(Plan|
|00001960| 65 37 28 76 99 69 99 31 | 2c 20 76 99 69 99 32 2c |e7(v.i.1|, v.i.2,|
|00001970| 20 76 99 69 99 33 29 2c | 20 69 2c 20 31 2c 20 44 | v.i.3),| i, 1, D|
|00001980| 49 4d 28 76 29 29 0d 0a | 50 6c 61 6e 65 73 38 28 |IM(v))..|Planes8(|
|00001990| 76 29 3a 3d 56 45 43 54 | 4f 52 28 50 6c 61 6e 65 |v):=VECT|OR(Plane|
|000019a0| 38 28 76 99 69 99 31 2c | 20 76 99 69 99 32 2c 20 |8(v.i.1,| v.i.2, |
|000019b0| 76 99 69 99 33 29 2c 20 | 69 2c 20 31 2c 20 44 49 |v.i.3), |i, 1, DI|
|000019c0| 4d 28 76 29 29 0d 0a 50 | 6c 61 6e 65 73 39 28 76 |M(v))..P|lanes9(v|
|000019d0| 29 3a 3d 56 45 43 54 4f | 52 28 50 6c 61 6e 65 39 |):=VECTO|R(Plane9|
|000019e0| 28 76 99 69 99 31 2c 20 | 76 99 69 99 32 2c 20 76 |(v.i.1, |v.i.2, v|
|000019f0| 99 69 99 33 29 2c 20 69 | 2c 20 31 2c 20 44 49 4d |.i.3), i|, 1, DIM|
|00001a00| 28 76 29 29 0d 0a 52 4f | 54 28 55 2c 20 6b 29 3a |(v))..RO|T(U, k):|
|00001a10| 3d 55 20 95 20 72 6f 74 | 5f 28 32 b7 6b b7 b9 29 |=U . rot|_(2.k..)|
|00001a20| 0d 0a 52 4f 54 41 54 45 | 28 55 2c 20 a9 29 3a 3d |..ROTATE|(U, .):=|
|00001a30| 56 45 43 54 4f 52 28 55 | 99 69 b7 72 6f 74 5f 28 |VECTOR(U|.i.rot_(|
|00001a40| a9 29 2c 20 69 2c 20 31 | 2c 20 44 49 4d 28 55 29 |.), i, 1|, DIM(U)|
|00001a50| 29 0d 0a 52 6f 74 61 74 | 65 28 75 2c 20 a9 29 3a |)..Rotat|e(u, .):|
|00001a60| 3d 49 46 28 44 49 4d 28 | 75 99 31 99 31 29 20 3d |=IF(DIM(|u.1.1) =|
|00001a70| 20 32 2c 20 52 4f 54 41 | 54 45 28 75 2c 20 a9 29 | 2, ROTA|TE(u, .)|
|00001a80| 2c 20 72 6f 74 61 74 65 | 28 75 2c 20 a9 29 2c 20 |, rotate|(u, .), |
|00001a90| 72 6f 74 61 74 65 28 75 | 2c 20 a9 29 29 0d 0a 52 |rotate(u|, .))..R|
|00001aa0| 6f 74 61 74 65 73 28 76 | 2c 20 a9 29 3a 3d 56 45 |otates(v|, .):=VE|
|00001ab0| 43 54 4f 52 28 52 6f 74 | 61 74 65 28 76 99 69 2c |CTOR(Rot|ate(v.i,|
|00001ac0| 20 a9 29 2c 20 69 2c 20 | 31 2c 20 44 49 4d 28 76 | .), i, |1, DIM(v|
|00001ad0| 29 29 0d 0a 53 4c 41 4e | 54 28 75 2c 20 b2 29 3a |))..SLAN|T(u, .):|
|00001ae0| 3d 75 20 95 20 5b 31 2c | 20 30 3b 20 53 49 4e 28 |=u . [1,| 0; SIN(|
|00001af0| b2 29 2c 20 43 4f 53 28 | b2 29 5d 0d 0a 53 54 52 |.), COS(|.)]..STR|
|00001b00| 49 50 31 28 55 2c 20 73 | 2c 20 6e 29 3a 3d 56 45 |IP1(U, s|, n):=VE|
|00001b10| 43 54 4f 52 28 44 49 53 | 28 55 2c 20 69 b7 73 29 |CTOR(DIS|(U, i.s)|
|00001b20| 2c 20 69 2c 20 2d 6e 2c | 20 6e 29 0d 0a 53 54 52 |, i, -n,| n)..STR|
|00001b30| 49 50 32 28 55 2c 20 73 | 2c 20 6e 29 3a 3d 41 50 |IP2(U, s|, n):=AP|
|00001b40| 50 45 4e 44 28 5b 53 54 | 52 49 50 31 28 55 2c 20 |PEND([ST|RIP1(U, |
|00001b50| 32 b7 73 2c 20 6e 29 2c | 20 53 54 52 49 50 31 28 |2.s, n),| STRIP1(|
|00001b60| 44 49 53 28 44 49 47 28 | 55 2c 20 31 2c 20 2d 31 |DIS(DIG(|U, 1, -1|
|00001b70| 29 2c 20 73 29 2c 20 32 | b7 73 2c 20 6e 29 5d 29 |), s), 2|.s, n)])|
|00001b80| 0d 0a 53 54 52 49 50 33 | 28 55 2c 20 73 2c 20 6e |..STRIP3|(U, s, n|
|00001b90| 29 3a 3d 41 50 50 45 4e | 44 28 5b 53 54 52 49 50 |):=APPEN|D([STRIP|
|00001ba0| 31 28 55 2c 20 73 2c 20 | 6e 29 2c 20 53 54 52 49 |1(U, s, |n), STRI|
|00001bb0| 50 31 28 44 49 47 28 55 | 2c 20 2d 31 2c 20 31 29 |P1(DIG(U|, -1, 1)|
|00001bc0| 2c 20 73 2c 20 6e 29 5d | 29 0d 0a 53 54 52 49 50 |, s, n)]|)..STRIP|
|00001bd0| 34 28 55 2c 20 73 2c 20 | 6e 29 3a 3d 41 50 50 45 |4(U, s, |n):=APPE|
|00001be0| 4e 44 28 5b 53 54 52 49 | 50 31 28 55 2c 20 73 2c |ND([STRI|P1(U, s,|
|00001bf0| 20 6e 29 2c 20 53 54 52 | 49 50 31 28 44 49 47 28 | n), STR|IP1(DIG(|
|00001c00| 55 2c 20 2d 31 2c 20 2d | 31 29 2c 20 73 2c 20 6e |U, -1, -|1), s, n|
|00001c10| 29 5d 29 0d 0a 53 54 52 | 49 50 35 28 55 2c 20 73 |)])..STR|IP5(U, s|
|00001c20| 2c 20 6e 29 3a 3d 41 50 | 50 45 4e 44 28 5b 53 54 |, n):=AP|PEND([ST|
|00001c30| 52 49 50 32 28 55 2c 20 | 73 2c 20 6e 29 2c 20 53 |RIP2(U, |s, n), S|
|00001c40| 54 52 49 50 32 28 44 49 | 47 28 55 2c 20 2d 31 2c |TRIP2(DI|G(U, -1,|
|00001c50| 20 31 29 2c 20 73 2c 20 | 6e 29 5d 29 0d 0a 53 54 | 1), s, |n)])..ST|
|00001c60| 52 49 50 36 28 55 2c 20 | 73 2c 20 6e 29 3a 3d 41 |RIP6(U, |s, n):=A|
|00001c70| 50 50 45 4e 44 28 5b 53 | 54 52 49 50 31 28 55 2c |PPEND([S|TRIP1(U,|
|00001c80| 20 73 2c 20 6e 29 2c 20 | 53 54 52 49 50 31 28 44 | s, n), |STRIP1(D|
|00001c90| 49 47 28 55 2c 20 31 2c | 20 2d 31 29 2c 20 73 2c |IG(U, 1,| -1), s,|
|00001ca0| 20 6e 29 5d 29 0d 0a 53 | 54 52 49 50 37 28 55 2c | n)])..S|TRIP7(U,|
|00001cb0| 20 73 2c 20 6e 29 3a 3d | 41 50 50 45 4e 44 28 5b | s, n):=|APPEND([|
|00001cc0| 53 54 52 49 50 33 28 55 | 2c 20 73 2c 20 6e 29 2c |STRIP3(U|, s, n),|
|00001cd0| 20 53 54 52 49 50 33 28 | 44 49 47 28 55 2c 20 31 | STRIP3(|DIG(U, 1|
|00001ce0| 2c 20 2d 31 29 2c 20 73 | 2c 20 6e 29 5d 29 0d 0a |, -1), s|, n)])..|
|00001cf0| 53 74 72 69 70 31 28 75 | 2c 20 73 29 3a 3d 49 46 |Strip1(u|, s):=IF|
|00001d00| 28 44 49 4d 28 75 99 31 | 29 20 3d 20 32 2c 20 53 |(DIM(u.1|) = 2, S|
|00001d10| 54 52 49 50 31 28 75 2c | 20 73 2c 20 31 30 29 2c |TRIP1(u,| s, 10),|
|00001d20| 20 73 74 72 69 70 31 28 | 75 2c 20 73 29 2c 20 73 | strip1(|u, s), s|
|00001d30| 74 72 69 70 31 28 75 2c | 20 73 29 29 0d 0a 53 74 |trip1(u,| s))..St|
|00001d40| 72 69 70 32 28 75 2c 20 | 73 29 3a 3d 49 46 28 44 |rip2(u, |s):=IF(D|
|00001d50| 49 4d 28 75 99 31 29 20 | 3d 20 32 2c 20 53 54 52 |IM(u.1) |= 2, STR|
|00001d60| 49 50 32 28 75 2c 20 73 | 2c 20 31 30 29 2c 20 73 |IP2(u, s|, 10), s|
|00001d70| 74 72 69 70 32 28 75 2c | 20 73 29 2c 20 73 74 72 |trip2(u,| s), str|
|00001d80| 69 70 32 28 75 2c 20 73 | 29 29 0d 0a 53 74 72 69 |ip2(u, s|))..Stri|
|00001d90| 70 33 28 75 2c 20 73 29 | 3a 3d 49 46 28 44 49 4d |p3(u, s)|:=IF(DIM|
|00001da0| 28 75 99 31 29 20 3d 20 | 32 2c 20 53 54 52 49 50 |(u.1) = |2, STRIP|
|00001db0| 33 28 75 2c 20 73 2c 20 | 31 30 29 2c 20 73 74 72 |3(u, s, |10), str|
|00001dc0| 69 70 33 28 75 2c 20 73 | 29 2c 20 73 74 72 69 70 |ip3(u, s|), strip|
|00001dd0| 33 28 75 2c 20 73 29 29 | 0d 0a 53 74 72 69 70 34 |3(u, s))|..Strip4|
|00001de0| 28 75 2c 20 73 29 3a 3d | 49 46 28 44 49 4d 28 75 |(u, s):=|IF(DIM(u|
|00001df0| 99 31 29 20 3d 20 32 2c | 20 53 54 52 49 50 34 28 |.1) = 2,| STRIP4(|
|00001e00| 75 2c 20 73 2c 20 31 30 | 29 2c 20 73 74 72 69 70 |u, s, 10|), strip|
|00001e10| 34 28 75 2c 20 73 29 2c | 20 73 74 72 69 70 34 28 |4(u, s),| strip4(|
|00001e20| 75 2c 20 73 29 29 0d 0a | 53 74 72 69 70 35 28 75 |u, s))..|Strip5(u|
|00001e30| 2c 20 73 29 3a 3d 49 46 | 28 44 49 4d 28 75 99 31 |, s):=IF|(DIM(u.1|
|00001e40| 29 20 3d 20 32 2c 20 53 | 54 52 49 50 35 28 75 2c |) = 2, S|TRIP5(u,|
|00001e50| 20 73 2c 20 31 30 29 2c | 20 73 74 72 69 70 35 28 | s, 10),| strip5(|
|00001e60| 75 2c 20 73 29 2c 20 73 | 74 72 69 70 35 28 75 2c |u, s), s|trip5(u,|
|00001e70| 20 73 29 29 0d 0a 53 74 | 72 69 70 36 28 75 2c 20 | s))..St|rip6(u, |
|00001e80| 73 29 3a 3d 49 46 28 44 | 49 4d 28 75 99 31 29 20 |s):=IF(D|IM(u.1) |
|00001e90| 3d 20 32 2c 20 53 54 52 | 49 50 36 28 75 2c 20 73 |= 2, STR|IP6(u, s|
|00001ea0| 2c 20 31 30 29 2c 20 73 | 74 72 69 70 36 28 75 2c |, 10), s|trip6(u,|
|00001eb0| 20 73 29 2c 20 73 74 72 | 69 70 36 28 75 2c 20 73 | s), str|ip6(u, s|
|00001ec0| 29 29 0d 0a 53 74 72 69 | 70 37 28 75 2c 20 73 29 |))..Stri|p7(u, s)|
|00001ed0| 3a 3d 49 46 28 44 49 4d | 28 75 99 31 29 20 3d 20 |:=IF(DIM|(u.1) = |
|00001ee0| 32 2c 20 53 54 52 49 50 | 37 28 75 2c 20 73 2c 20 |2, STRIP|7(u, s, |
|00001ef0| 31 30 29 2c 20 73 74 72 | 69 70 37 28 75 2c 20 73 |10), str|ip7(u, s|
|00001f00| 29 2c 20 73 74 72 69 70 | 37 28 75 2c 20 73 29 29 |), strip|7(u, s))|
|00001f10| 0d 0a 53 74 72 69 70 73 | 31 28 76 29 3a 3d 56 45 |..Strips|1(v):=VE|
|00001f20| 43 54 4f 52 28 53 74 72 | 69 70 31 28 76 99 69 99 |CTOR(Str|ip1(v.i.|
|00001f30| 31 2c 20 76 99 69 99 32 | 29 2c 20 69 2c 20 31 2c |1, v.i.2|), i, 1,|
|00001f40| 20 44 49 4d 28 76 29 29 | 0d 0a 53 74 72 69 70 73 | DIM(v))|..Strips|
|00001f50| 32 28 76 29 3a 3d 56 45 | 43 54 4f 52 28 53 74 72 |2(v):=VE|CTOR(Str|
|00001f60| 69 70 32 28 76 99 69 99 | 31 2c 20 76 99 69 99 32 |ip2(v.i.|1, v.i.2|
|00001f70| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 76 29 29 |), i, 1,| DIM(v))|
|00001f80| 0d 0a 53 74 72 69 70 73 | 33 28 76 29 3a 3d 56 45 |..Strips|3(v):=VE|
|00001f90| 43 54 4f 52 28 53 74 72 | 69 70 33 28 76 99 69 99 |CTOR(Str|ip3(v.i.|
|00001fa0| 31 2c 20 76 99 69 99 32 | 29 2c 20 69 2c 20 31 2c |1, v.i.2|), i, 1,|
|00001fb0| 20 44 49 4d 28 76 29 29 | 0d 0a 53 74 72 69 70 73 | DIM(v))|..Strips|
|00001fc0| 34 28 76 29 3a 3d 56 45 | 43 54 4f 52 28 53 74 72 |4(v):=VE|CTOR(Str|
|00001fd0| 69 70 34 28 76 99 69 99 | 31 2c 20 76 99 69 99 32 |ip4(v.i.|1, v.i.2|
|00001fe0| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 76 29 29 |), i, 1,| DIM(v))|
|00001ff0| 0d 0a 53 74 72 69 70 73 | 35 28 76 29 3a 3d 56 45 |..Strips|5(v):=VE|
|00002000| 43 54 4f 52 28 53 74 72 | 69 70 35 28 76 99 69 99 |CTOR(Str|ip5(v.i.|
|00002010| 31 2c 20 76 99 69 99 32 | 29 2c 20 69 2c 20 31 2c |1, v.i.2|), i, 1,|
|00002020| 20 44 49 4d 28 76 29 29 | 0d 0a 53 74 72 69 70 73 | DIM(v))|..Strips|
|00002030| 36 28 76 29 3a 3d 56 45 | 43 54 4f 52 28 53 74 72 |6(v):=VE|CTOR(Str|
|00002040| 69 70 36 28 76 99 69 99 | 31 2c 20 76 99 69 99 32 |ip6(v.i.|1, v.i.2|
|00002050| 29 2c 20 69 2c 20 31 2c | 20 44 49 4d 28 76 29 29 |), i, 1,| DIM(v))|
|00002060| 0d 0a 53 74 72 69 70 73 | 37 28 76 29 3a 3d 56 45 |..Strips|7(v):=VE|
|00002070| 43 54 4f 52 28 53 74 72 | 69 70 37 28 76 99 69 99 |CTOR(Str|ip7(v.i.|
|00002080| 31 2c 20 76 99 69 99 32 | 29 2c 20 69 2c 20 31 2c |1, v.i.2|), i, 1,|
|00002090| 20 44 49 4d 28 76 29 29 | 0d 0a 56 43 5f 28 6e 29 | DIM(v))|..VC_(n)|
|000020a0| 3a 3d 56 45 43 54 4f 52 | 28 5b 22 72 22 2c 20 74 |:=VECTOR|(["r", t|
|000020b0| 5d 2c 20 74 2c 20 30 2c | 20 6e 20 2d 20 31 29 0d |], t, 0,| n - 1).|
|000020c0| 0a 56 44 5f 28 6e 29 3a | 3d 41 50 50 45 4e 44 28 |.VD_(n):|=APPEND(|
|000020d0| 56 45 43 54 4f 52 28 5b | 22 72 22 2c 20 74 5d 2c |VECTOR([|"r", t],|
|000020e0| 20 74 2c 20 30 2c 20 6e | 20 2d 20 31 29 2c 20 56 | t, 0, n| - 1), V|
|000020f0| 45 43 54 4f 52 28 5b 22 | 78 22 2c 20 74 5d 2c 20 |ECTOR(["|x", t], |
|00002100| 74 2c 20 30 2c 20 6e 20 | 2d 20 31 29 29 0d 0a 63 |t, 0, n |- 1))..c|
|00002110| 5f 28 75 2c 20 6e 29 3a | 3d 49 46 28 6e 20 3d 20 |_(u, n):|=IF(n = |
|00002120| 31 2c 20 75 2c 20 73 6f | 72 5f 28 75 2c 20 78 2c |1, u, so|r_(u, x,|
|00002130| 20 79 2c 20 6e 29 29 0d | 0a 63 64 5f 28 78 2c 20 | y, n)).|.cd_(x, |
|00002140| 79 2c 20 69 2c 20 6e 29 | 3a 3d 72 6f 74 5f 28 32 |y, i, n)|:=rot_(2|
|00002150| b7 b9 b7 69 2f 6e 29 b7 | 5b 78 2c 20 79 5d 0d 0a |...i/n).|[x, y]..|
|00002160| 63 68 65 73 73 62 6f 61 | 72 64 28 62 2c 20 68 2c |chessboa|rd(b, h,|
|00002170| 20 78 30 2c 20 79 30 29 | 3a 3d 73 71 75 61 72 65 | x0, y0)|:=square|
|00002180| 73 28 78 2c 20 79 2c 20 | 31 29 20 8f 20 30 20 3c |s(x, y, |1) . 0 <|
|00002190| 20 78 20 2d 20 78 30 20 | 3c 20 62 20 8f 20 30 20 | x - x0 |< b . 0 |
|000021a0| 3c 20 79 20 2d 20 79 30 | 20 3c 20 68 0d 0a 63 68 |< y - y0| < h..ch|
|000021b0| 65 73 73 62 6f 61 72 64 | 31 28 62 2c 20 68 2c 20 |essboard|1(b, h, |
|000021c0| 78 30 2c 20 79 30 29 3a | 3d 5b 5b 4c 49 4e 45 53 |x0, y0):|=[[LINES|
|000021d0| 28 56 45 43 54 4f 52 28 | 5b 78 30 2c 20 79 30 20 |(VECTOR(|[x0, y0 |
|000021e0| 2b 20 69 3b 20 78 30 20 | 2b 20 62 2c 20 79 30 20 |+ i; x0 |+ b, y0 |
|000021f0| 2b 20 69 5d 2c 20 69 2c | 20 30 2c 20 68 29 29 2c |+ i], i,| 0, h)),|
|00002200| 20 4c 49 4e 45 53 28 56 | 45 43 54 4f 52 28 5b 78 | LINES(V|ECTOR([x|
|00002210| 30 20 2b 20 69 2c 20 79 | 30 3b 20 78 30 20 2b 20 |0 + i, y|0; x0 + |
|00002220| 69 2c 20 79 30 20 2b 20 | 68 5d 2c 20 69 2c 20 30 |i, y0 + |h], i, 0|
|00002230| 2c 20 62 29 29 5d 2c 20 | 63 68 65 73 73 62 6f 61 |, b))], |chessboa|
|00002240| 72 64 28 62 2c 20 68 2c | 20 78 30 2c 20 79 30 29 |rd(b, h,| x0, y0)|
|00002250| 5d 0d 0a 63 68 65 73 73 | 62 6f 61 72 64 32 28 62 |]..chess|board2(b|
|00002260| 2c 20 68 2c 20 78 30 2c | 20 79 30 29 3a 3d 5b 30 |, h, x0,| y0):=[0|
|00002270| 20 3c 20 78 20 2d 20 78 | 30 20 3c 20 62 20 8f 20 | < x - x|0 < b . |
|00002280| 30 20 3c 20 79 20 2d 20 | 79 30 20 3c 20 68 2c 20 |0 < y - |y0 < h, |
|00002290| 63 68 65 73 73 62 6f 61 | 72 64 28 62 2c 20 68 2c |chessboa|rd(b, h,|
|000022a0| 20 78 30 2c 20 79 30 29 | 5d 0d 0a 63 75 62 69 63 | x0, y0)|]..cubic|
|000022b0| 28 61 29 3a 3d 78 5e 33 | 20 2b 20 79 5e 33 20 93 |(a):=x^3| + y^3 .|
|000022c0| 20 61 5e 32 0d 0a 63 78 | 5f 28 75 2c 20 6e 29 3a | a^2..cx|_(u, n):|
|000022d0| 3d 49 46 28 6e 20 3d 20 | 31 2c 20 73 75 62 5f 28 |=IF(n = |1, sub_(|
|000022e0| 75 2c 20 5b 78 2c 20 2d | 79 5d 29 2c 20 73 6f 72 |u, [x, -|y]), sor|
|000022f0| 5f 28 75 2c 20 78 2c 20 | 2d 79 2c 20 6e 29 29 0d |_(u, x, |-y, n)).|
|00002300| 0a 63 79 5f 28 75 2c 20 | 6e 29 3a 3d 49 46 28 6e |.cy_(u, |n):=IF(n|
|00002310| 20 3d 20 31 2c 20 73 75 | 62 5f 28 75 2c 20 5b 2d | = 1, su|b_(u, [-|
|00002320| 78 2c 20 79 5d 29 2c 20 | 73 6f 72 5f 28 75 2c 20 |x, y]), |sor_(u, |
|00002330| 2d 78 2c 20 79 2c 20 6e | 29 29 0d 0a 64 5f 28 75 |-x, y, n|))..d_(u|
|00002340| 2c 20 6e 29 3a 3d 5b 63 | 5f 28 75 2c 20 6e 29 2c |, n):=[c|_(u, n),|
|00002350| 20 63 79 5f 28 75 2c 20 | 6e 29 5d 0d 0a 64 69 61 | cy_(u, |n)]..dia|
|00002360| 67 28 75 2c 20 6b 2c 20 | 6a 29 3a 3d 73 75 62 5f |g(u, k, |j):=sub_|
|00002370| 28 75 2c 20 5b 31 2f 6b | 2c 20 30 3b 20 30 2c 20 |(u, [1/k|, 0; 0, |
|00002380| 31 2f 6a 5d b7 56 41 52 | 49 41 42 4c 45 53 28 75 |1/j].VAR|IABLES(u|
|00002390| 29 29 0d 0a 64 69 73 63 | 28 6e 29 3a 3d 2d 20 33 |))..disc|(n):=- 3|
|000023a0| b7 32 5e 28 31 20 2d 20 | 6e 29 b7 79 20 2b 20 39 |.2^(1 - |n).y + 9|
|000023b0| b7 32 5e 28 2d 20 32 b7 | 6e 29 20 2b 20 78 5e 32 |.2^(- 2.|n) + x^2|
|000023c0| 20 2b 20 79 5e 32 20 3c | 20 32 5e 28 2d 20 32 b7 | + y^2 <| 2^(- 2.|
|000023d0| 6e 29 20 8f 20 79 20 92 | 20 30 0d 0a 64 69 73 70 |n) . y .| 0..disp|
|000023e0| 6c 61 63 65 28 75 2c 20 | 70 29 3a 3d 73 75 62 5f |lace(u, |p):=sub_|
|000023f0| 28 75 2c 20 56 41 52 49 | 41 42 4c 45 53 28 75 29 |(u, VARI|ABLES(u)|
|00002400| 20 2d 20 70 29 0d 0a 64 | 78 5f 28 75 2c 20 6e 29 | - p)..d|x_(u, n)|
|00002410| 3a 3d 5b 63 5f 28 75 2c | 20 6e 29 2c 20 63 78 5f |:=[c_(u,| n), cx_|
|00002420| 28 75 2c 20 6e 29 5d 0d | 0a 64 79 5f 28 75 2c 20 |(u, n)].|.dy_(u, |
|00002430| 6e 29 3a 3d 5b 63 5f 28 | 75 2c 20 6e 29 2c 20 63 |n):=[c_(|u, n), c|
|00002440| 79 5f 28 75 2c 20 6e 29 | 5d 0d 0a 66 28 78 29 3a |y_(u, n)|]..f(x):|
|00002450| 3d 49 46 28 78 20 3c 20 | 31 2c 20 78 5e 33 2c 20 |=IF(x < |1, x^3, |
|00002460| 32 20 2b 20 28 78 20 2d | 20 32 29 5e 33 29 0d 0a |2 + (x -| 2)^3)..|
|00002470| 66 31 28 78 29 3a 3d 49 | 46 28 78 20 3c 20 31 2c |f1(x):=I|F(x < 1,|
|00002480| 20 32 20 2d 20 78 5e 33 | 2c 20 28 32 20 2d 20 78 | 2 - x^3|, (2 - x|
|00002490| 29 5e 33 29 0d 0a 67 6c | 69 64 65 78 28 75 2c 20 |)^3)..gl|idex(u, |
|000024a0| 61 29 3a 3d 73 75 62 5f | 28 75 2c 20 5b 78 20 2d |a):=sub_|(u, [x -|
|000024b0| 20 61 2c 20 2d 79 5d 29 | 0d 0a 67 6c 69 64 65 79 | a, -y])|..glidey|
|000024c0| 28 75 2c 20 62 29 3a 3d | 73 75 62 5f 28 75 2c 20 |(u, b):=|sub_(u, |
|000024d0| 5b 2d 78 2c 20 79 20 2b | 20 62 5d 29 0d 0a 6f 72 |[-x, y +| b])..or|
|000024e0| 73 5f 28 75 29 3a 3d 53 | 49 47 4e 28 a4 28 56 45 |s_(u):=S|IGN(.(VE|
|000024f0| 43 54 4f 52 28 53 49 47 | 4e 28 75 99 69 29 2c 20 |CTOR(SIG|N(u.i), |
|00002500| 69 2c 20 31 2c 20 44 49 | 4d 28 75 29 29 29 29 20 |i, 1, DI|M(u)))) |
|00002510| 3c 20 30 0d 0a 70 61 74 | 63 68 65 73 28 6a 2c 20 |< 0..pat|ches(j, |
|00002520| 6b 2c 20 6d 2c 20 6e 29 | 3a 3d 74 69 6c 65 5f 28 |k, m, n)|:=tile_(|
|00002530| 78 2c 20 79 2c 20 6a 2c | 20 6b 2c 20 6d 2c 20 6e |x, y, j,| k, m, n|
|00002540| 29 0d 0a 70 6c 61 6e 65 | 28 75 2c 20 73 2c 20 74 |)..plane|(u, s, t|
|00002550| 2c 20 b2 2c 20 6e 29 3a | 3d 6f 72 73 5f 28 56 45 |, ., n):|=ors_(VE|
|00002560| 43 54 4f 52 28 64 69 73 | 70 6c 61 63 65 28 73 74 |CTOR(dis|place(st|
|00002570| 72 69 70 28 75 2c 20 73 | 2c 20 6e 29 2c 20 5b 69 |rip(u, s|, n), [i|
|00002580| b7 74 b7 53 49 4e 28 b2 | 29 2c 20 69 b7 74 b7 43 |.t.SIN(.|), i.t.C|
|00002590| 4f 53 28 b2 29 5d 29 2c | 20 69 2c 20 2d 6e 2c 20 |OS(.)]),| i, -n, |
|000025a0| 6e 29 29 0d 0a 70 6c 61 | 6e 65 31 28 75 2c 20 73 |n))..pla|ne1(u, s|
|000025b0| 2c 20 74 2c 20 b2 29 3a | 3d 73 75 62 5f 28 75 2c |, t, .):|=sub_(u,|
|000025c0| 20 5b 4d 4f 44 28 78 20 | 2d 20 79 b7 54 41 4e 28 | [MOD(x |- y.TAN(|
|000025d0| b2 29 2c 20 73 29 2c 20 | 4d 4f 44 28 79 2f 43 4f |.), s), |MOD(y/CO|
|000025e0| 53 28 b2 29 2c 20 74 29 | 5d 29 0d 0a 70 6c 61 6e |S(.), t)|])..plan|
|000025f0| 65 31 30 28 75 2c 20 73 | 29 3a 3d 63 5f 28 70 6c |e10(u, s|):=c_(pl|
|00002600| 61 6e 65 31 28 75 2c 20 | 73 2c 20 73 2c 20 30 29 |ane1(u, |s, s, 0)|
|00002610| 2c 20 34 29 0d 0a 70 6c | 61 6e 65 31 31 28 75 2c |, 4)..pl|ane11(u,|
|00002620| 20 73 29 3a 3d 64 5f 28 | 70 6c 61 6e 65 31 28 75 | s):=d_(|plane1(u|
|00002630| 2c 20 73 2c 20 73 2c 20 | 30 29 2c 20 34 29 0d 0a |, s, s, |0), 4)..|
|00002640| 70 6c 61 6e 65 31 32 28 | 75 2c 20 73 29 3a 3d 5b |plane12(|u, s):=[|
|00002650| 70 70 6c 61 6e 65 31 32 | 28 75 2c 20 73 29 2c 20 |pplane12|(u, s), |
|00002660| 67 6c 69 64 65 78 28 70 | 70 6c 61 6e 65 31 32 28 |glidex(p|plane12(|
|00002670| 75 2c 20 73 29 2c 20 73 | 29 5d 0d 0a 70 6c 61 6e |u, s), s|)]..plan|
|00002680| 65 31 33 28 75 2c 20 73 | 29 3a 3d 63 5f 28 70 6c |e13(u, s|):=c_(pl|
|00002690| 61 6e 65 31 28 75 2c 20 | 73 2c 20 73 2c 20 b9 2f |ane1(u, |s, s, ./|
|000026a0| 36 29 2c 20 33 29 0d 0a | 70 6c 61 6e 65 31 34 28 |6), 3)..|plane14(|
|000026b0| 75 2c 20 73 29 3a 3d 64 | 78 5f 28 70 6c 61 6e 65 |u, s):=d|x_(plane|
|000026c0| 31 33 28 75 2c 20 73 29 | 2c 20 31 29 0d 0a 70 6c |13(u, s)|, 1)..pl|
|000026d0| 61 6e 65 31 35 28 75 2c | 20 73 29 3a 3d 64 79 5f |ane15(u,| s):=dy_|
|000026e0| 28 70 6c 61 6e 65 31 33 | 28 75 2c 20 73 29 2c 20 |(plane13|(u, s), |
|000026f0| 31 29 0d 0a 70 6c 61 6e | 65 31 36 28 75 2c 20 73 |1)..plan|e16(u, s|
|00002700| 29 3a 3d 63 5f 28 70 6c | 61 6e 65 31 28 75 2c 20 |):=c_(pl|ane1(u, |
|00002710| 73 2c 20 73 2c 20 b9 2f | 36 29 2c 20 36 29 0d 0a |s, s, ./|6), 6)..|
|00002720| 70 6c 61 6e 65 31 37 28 | 75 2c 20 73 29 3a 3d 64 |plane17(|u, s):=d|
|00002730| 5f 28 70 6c 61 6e 65 31 | 28 75 2c 20 73 2c 20 73 |_(plane1|(u, s, s|
|00002740| 2c 20 b9 2f 36 29 2c 20 | 36 29 0d 0a 70 6c 61 6e |, ./6), |6)..plan|
|00002750| 65 32 28 75 2c 20 73 2c | 20 74 2c 20 b2 29 3a 3d |e2(u, s,| t, .):=|
|00002760| 63 5f 28 70 6c 61 6e 65 | 31 28 75 2c 20 73 2c 20 |c_(plane|1(u, s, |
|00002770| 74 2c 20 b2 29 2c 20 32 | 29 0d 0a 70 6c 61 6e 65 |t, .), 2|)..plane|
|00002780| 33 28 75 2c 20 73 2c 20 | 74 29 3a 3d 64 5f 28 70 |3(u, s, |t):=d_(p|
|00002790| 6c 61 6e 65 31 28 75 2c | 20 73 2c 20 74 2c 20 30 |lane1(u,| s, t, 0|
|000027a0| 29 2c 20 31 29 0d 0a 70 | 6c 61 6e 65 34 28 75 2c |), 1)..p|lane4(u,|
|000027b0| 20 73 2c 20 74 29 3a 3d | 5b 73 75 62 5f 28 75 2c | s, t):=|[sub_(u,|
|000027c0| 20 5b 4d 4f 44 28 78 2c | 20 32 b7 73 29 2c 20 4d | [MOD(x,| 2.s), M|
|000027d0| 4f 44 28 79 2c 20 32 b7 | 74 29 5d 29 2c 20 73 75 |OD(y, 2.|t)]), su|
|000027e0| 62 5f 28 75 2c 20 5b 4d | 4f 44 28 2d 78 2c 20 32 |b_(u, [M|OD(-x, 2|
|000027f0| b7 73 29 2c 20 4d 4f 44 | 28 79 20 2d 20 74 2c 20 |.s), MOD|(y - t, |
|00002800| 32 b7 74 29 5d 29 5d 0d | 0a 70 6c 61 6e 65 35 28 |2.t)])].|.plane5(|
|00002810| 75 2c 20 73 2c 20 74 29 | 3a 3d 64 5f 28 70 6c 61 |u, s, t)|:=d_(pla|
|00002820| 6e 65 31 28 75 2c 20 73 | 2c 20 74 2c 20 30 29 2c |ne1(u, s|, t, 0),|
|00002830| 20 32 29 0d 0a 70 6c 61 | 6e 65 36 28 75 2c 20 73 | 2)..pla|ne6(u, s|
|00002840| 2c 20 74 29 3a 3d 64 78 | 5f 28 73 73 5f 28 75 2c |, t):=dx|_(ss_(u,|
|00002850| 20 4d 4f 44 28 78 2c 20 | 32 b7 73 29 2c 20 4d 4f | MOD(x, |2.s), MO|
|00002860| 44 28 2d 78 2c 20 32 b7 | 73 29 2c 20 4d 4f 44 28 |D(-x, 2.|s), MOD(|
|00002870| 79 2c 20 32 b7 74 29 2c | 20 4d 4f 44 28 79 20 2d |y, 2.t),| MOD(y -|
|00002880| 20 74 2c 20 32 b7 74 29 | 29 2c 20 31 29 0d 0a 70 | t, 2.t)|), 1)..p|
|00002890| 6c 61 6e 65 37 28 75 2c | 20 73 2c 20 74 29 3a 3d |lane7(u,| s, t):=|
|000028a0| 5b 70 70 6c 61 6e 65 37 | 28 75 2c 20 73 2c 20 74 |[pplane7|(u, s, t|
|000028b0| 29 2c 20 67 6c 69 64 65 | 78 28 70 70 6c 61 6e 65 |), glide|x(pplane|
|000028c0| 37 28 75 2c 20 73 2c 20 | 74 29 2c 20 73 29 5d 0d |7(u, s, |t), s)].|
|000028d0| 0a 70 6c 61 6e 65 38 28 | 75 2c 20 73 2c 20 74 29 |.plane8(|u, s, t)|
|000028e0| 3a 3d 64 5f 28 70 6c 61 | 6e 65 31 28 75 2c 20 73 |:=d_(pla|ne1(u, s|
|000028f0| 2c 20 74 2c 20 41 53 49 | 4e 28 73 2f 28 32 b7 74 |, t, ASI|N(s/(2.t|
|00002900| 29 29 29 2c 20 31 29 0d | 0a 70 6c 61 6e 65 39 28 |))), 1).|.plane9(|
|00002910| 75 2c 20 73 2c 20 74 29 | 3a 3d 64 5f 28 70 6c 61 |u, s, t)|:=d_(pla|
|00002920| 6e 65 31 28 75 2c 20 73 | 2c 20 74 2c 20 41 53 49 |ne1(u, s|, t, ASI|
|00002930| 4e 28 73 2f 28 32 b7 74 | 29 29 29 2c 20 32 29 0d |N(s/(2.t|))), 2).|
|00002940| 0a 70 70 6c 61 6e 65 31 | 32 28 75 2c 20 73 29 3a |.pplane1|2(u, s):|
|00002950| 3d 53 49 47 4e 28 53 49 | 47 4e 28 63 5f 28 73 75 |=SIGN(SI|GN(c_(su|
|00002960| 62 5f 28 75 2c 20 5b 4d | 4f 44 28 78 2c 20 32 b7 |b_(u, [M|OD(x, 2.|
|00002970| 73 29 2c 20 4d 4f 44 28 | 79 2c 20 32 b7 73 29 5d |s), MOD(|y, 2.s)]|
|00002980| 29 2c 20 34 29 29 20 2b | 20 53 49 47 4e 28 67 6c |), 4)) +| SIGN(gl|
|00002990| 69 64 65 79 28 67 6c 69 | 64 65 78 28 63 5f 28 73 |idey(gli|dex(c_(s|
|000029a0| 75 62 5f 28 75 2c 20 5b | 4d 4f 44 28 78 2c 20 32 |ub_(u, [|MOD(x, 2|
|000029b0| b7 73 29 2c 20 4d 4f 44 | 28 79 2c 20 32 b7 73 29 |.s), MOD|(y, 2.s)|
|000029c0| 5d 29 2c 20 34 29 2c 20 | 73 29 2c 20 73 29 29 29 |]), 4), |s), s)))|
|000029d0| 20 3c 20 30 0d 0a 70 70 | 6c 61 6e 65 37 28 75 2c | < 0..pp|lane7(u,|
|000029e0| 20 73 2c 20 74 29 3a 3d | 53 49 47 4e 28 53 49 47 | s, t):=|SIGN(SIG|
|000029f0| 4e 28 73 75 62 5f 28 75 | 2c 20 5b 4d 4f 44 28 78 |N(sub_(u|, [MOD(x|
|00002a00| 2c 20 32 b7 73 29 2c 20 | 4d 4f 44 28 79 2c 20 32 |, 2.s), |MOD(y, 2|
|00002a10| b7 74 29 5d 29 29 20 2b | 20 53 49 47 4e 28 67 6c |.t)])) +| SIGN(gl|
|00002a20| 69 64 65 79 28 67 6c 69 | 64 65 78 28 73 75 62 5f |idey(gli|dex(sub_|
|00002a30| 28 75 2c 20 5b 4d 4f 44 | 28 78 2c 20 32 b7 73 29 |(u, [MOD|(x, 2.s)|
|00002a40| 2c 20 4d 4f 44 28 79 2c | 20 32 b7 74 29 5d 29 2c |, MOD(y,| 2.t)]),|
|00002a50| 20 73 29 2c 20 74 29 29 | 29 20 3c 20 30 0d 0a 72 | s), t))|) < 0..r|
|00002a60| 6f 74 5f 28 a9 29 3a 3d | 5b 43 4f 53 28 a9 29 2c |ot_(.):=|[COS(.),|
|00002a70| 20 53 49 4e 28 a9 29 3b | 20 2d 20 53 49 4e 28 a9 | SIN(.);| - SIN(.|
|00002a80| 29 2c 20 43 4f 53 28 a9 | 29 5d 0d 0a 72 6f 74 61 |), COS(.|)]..rota|
|00002a90| 74 65 28 75 2c 20 a9 29 | 3a 3d 73 75 62 5f 28 75 |te(u, .)|:=sub_(u|
|00002aa0| 2c 20 72 6f 74 5f 28 a9 | 29 b7 56 41 52 49 41 42 |, rot_(.|).VARIAB|
|00002ab0| 4c 45 53 28 75 29 29 0d | 0a 73 6f 72 5f 28 75 2c |LES(u)).|.sor_(u,|
|00002ac0| 20 78 2c 20 79 2c 20 6e | 29 3a 3d 53 49 47 4e 28 | x, y, n|):=SIGN(|
|00002ad0| a4 28 56 45 43 54 4f 52 | 28 53 49 47 4e 28 73 75 |.(VECTOR|(SIGN(su|
|00002ae0| 62 5f 28 75 2c 20 63 64 | 5f 28 78 2c 20 79 2c 20 |b_(u, cd|_(x, y, |
|00002af0| 69 2c 20 6e 29 29 29 2c | 20 69 2c 20 30 2c 20 6e |i, n))),| i, 0, n|
|00002b00| 20 2d 20 31 29 29 29 20 | 3c 20 30 0d 0a 73 71 75 | - 1))) |< 0..squ|
|00002b10| 61 72 65 73 28 75 2c 20 | 76 2c 20 73 29 3a 3d 74 |ares(u, |v, s):=t|
|00002b20| 69 6c 65 5f 28 75 2c 20 | 76 2c 20 73 2c 20 73 2c |ile_(u, |v, s, s,|
|00002b30| 20 32 b7 73 2c 20 32 b7 | 73 29 0d 0a 73 73 5f 28 | 2.s, 2.|s)..ss_(|
|00002b40| 75 2c 20 76 2c 20 77 2c | 20 78 2c 20 79 29 3a 3d |u, v, w,| x, y):=|
|00002b50| 53 49 47 4e 28 53 49 47 | 4e 28 73 75 62 5f 28 75 |SIGN(SIG|N(sub_(u|
|00002b60| 2c 20 5b 76 2c 20 78 5d | 29 29 20 2b 20 53 49 47 |, [v, x]|)) + SIG|
|00002b70| 4e 28 73 75 62 5f 28 75 | 2c 20 5b 77 2c 20 79 5d |N(sub_(u|, [w, y]|
|00002b80| 29 29 29 20 3c 20 30 0d | 0a 73 74 72 69 70 28 75 |))) < 0.|.strip(u|
|00002b90| 2c 20 73 2c 20 6e 29 3a | 3d 6f 72 73 5f 28 56 45 |, s, n):|=ors_(VE|
|00002ba0| 43 54 4f 52 28 64 69 73 | 70 6c 61 63 65 28 75 2c |CTOR(dis|place(u,|
|00002bb0| 20 5b 6a b7 73 2c 20 30 | 5d 29 2c 20 6a 2c 20 2d | [j.s, 0|]), j, -|
|00002bc0| 6e 2c 20 6e 29 29 0d 0a | 73 74 72 69 70 31 28 75 |n, n))..|strip1(u|
|00002bd0| 2c 20 73 29 3a 3d 73 75 | 62 5f 28 75 2c 20 5b 4d |, s):=su|b_(u, [M|
|00002be0| 4f 44 28 78 2c 20 73 29 | 2c 20 79 5d 29 0d 0a 73 |OD(x, s)|, y])..s|
|00002bf0| 74 72 69 70 32 28 75 2c | 20 73 29 3a 3d 5b 73 75 |trip2(u,| s):=[su|
|00002c00| 62 5f 28 75 2c 20 5b 4d | 4f 44 28 78 2c 20 32 b7 |b_(u, [M|OD(x, 2.|
|00002c10| 73 29 2c 20 79 5d 29 2c | 20 67 6c 69 64 65 78 28 |s), y]),| glidex(|
|00002c20| 73 75 62 5f 28 75 2c 20 | 5b 4d 4f 44 28 78 2c 20 |sub_(u, |[MOD(x, |
|00002c30| 32 b7 73 29 2c 20 79 5d | 29 2c 20 73 29 5d 0d 0a |2.s), y]|), s)]..|
|00002c40| 73 74 72 69 70 33 28 75 | 2c 20 73 29 3a 3d 64 5f |strip3(u|, s):=d_|
|00002c50| 28 73 74 72 69 70 31 28 | 75 2c 20 73 29 2c 20 31 |(strip1(|u, s), 1|
|00002c60| 29 0d 0a 73 74 72 69 70 | 34 28 75 2c 20 73 29 3a |)..strip|4(u, s):|
|00002c70| 3d 63 5f 28 73 74 72 69 | 70 31 28 75 2c 20 73 29 |=c_(stri|p1(u, s)|
|00002c80| 2c 20 32 29 0d 0a 73 74 | 72 69 70 35 28 75 2c 20 |, 2)..st|rip5(u, |
|00002c90| 73 29 3a 3d 64 5f 28 73 | 73 5f 28 75 2c 20 4d 4f |s):=d_(s|s_(u, MO|
|00002ca0| 44 28 78 2c 20 32 b7 73 | 29 2c 20 4d 4f 44 28 2d |D(x, 2.s|), MOD(-|
|00002cb0| 78 20 2d 20 73 2c 20 32 | b7 73 29 2c 20 79 2c 20 |x - s, 2|.s), y, |
|00002cc0| 2d 79 29 2c 20 31 29 0d | 0a 73 74 72 69 70 36 28 |-y), 1).|.strip6(|
|00002cd0| 75 2c 20 73 29 3a 3d 5b | 73 74 72 69 70 31 28 75 |u, s):=[|strip1(u|
|00002ce0| 2c 20 73 29 2c 20 63 78 | 5f 28 73 74 72 69 70 31 |, s), cx|_(strip1|
|00002cf0| 28 75 2c 20 73 29 2c 20 | 31 29 5d 0d 0a 73 74 72 |(u, s), |1)]..str|
|00002d00| 69 70 37 28 75 2c 20 73 | 29 3a 3d 64 5f 28 73 74 |ip7(u, s|):=d_(st|
|00002d10| 72 69 70 31 28 75 2c 20 | 73 29 2c 20 32 29 0d 0a |rip1(u, |s), 2)..|
|00002d20| 73 75 62 5f 28 75 2c 20 | 76 29 3a 3d 53 55 42 53 |sub_(u, |v):=SUBS|
|00002d30| 54 28 75 2c 20 56 41 52 | 49 41 42 4c 45 53 28 75 |T(u, VAR|IABLES(u|
|00002d40| 29 2c 20 76 29 0d 0a 74 | 69 6c 65 5f 28 75 2c 20 |), v)..t|ile_(u, |
|00002d50| 76 2c 20 6a 2c 20 6b 2c | 20 6d 2c 20 6e 29 3a 3d |v, j, k,| m, n):=|
|00002d60| 28 4d 4f 44 28 75 2c 20 | 6d 29 20 2d 20 4d 4f 44 |(MOD(u, |m) - MOD|
|00002d70| 28 6a 2c 20 6d 29 29 b7 | 28 4d 4f 44 28 76 2c 20 |(j, m)).|(MOD(v, |
|00002d80| 6e 29 20 2d 20 4d 4f 44 | 28 6b 2c 20 6e 29 29 20 |n) - MOD|(k, n)) |
|00002d90| 92 20 30 0d 0a 43 49 52 | 43 4c 45 53 3a 3d 50 41 |. 0..CIR|CLES:=PA|
|00002da0| 52 41 53 28 56 45 43 54 | 4f 52 28 5b 5b 43 4f 53 |RAS(VECT|OR([[COS|
|00002db0| 28 b2 29 20 2b 20 32 5e | 6e 2c 20 53 49 4e 28 b2 |(.) + 2^|n, SIN(.|
|00002dc0| 29 20 2b 20 33 5d b7 32 | 5e 28 2d 6e 29 2c 20 30 |) + 3].2|^(-n), 0|
|00002dd0| 2c 20 32 b7 b9 5d 2c 20 | 6e 2c 20 30 2c 20 33 29 |, 2..], |n, 0, 3)|
|00002de0| 29 0d 0a 46 41 4e 3a 3d | 5b 31 20 2d 20 53 49 4e |)..FAN:=|[1 - SIN|
|00002df0| 28 74 2f 34 20 2b 20 b9 | 2f 34 29 2c 20 43 4f 53 |(t/4 + .|/4), COS|
|00002e00| 28 74 2f 34 20 2b 20 b9 | 2f 34 29 3b 20 43 4f 53 |(t/4 + .|/4); COS|
|00002e10| 28 74 2f 34 20 2b 20 b9 | 2f 34 29 2c 20 53 49 4e |(t/4 + .|/4), SIN|
|00002e20| 28 74 2f 34 20 2b 20 b9 | 2f 34 29 20 2b 20 31 3b |(t/4 + .|/4) + 1;|
|00002e30| 20 31 20 2d 20 43 4f 53 | 28 2d 20 33 2f 34 30 20 | 1 - COS|(- 3/40 |
|00002e40| 2b 20 b9 2f 34 20 2b 20 | 74 b7 28 33 2f 28 34 30 |+ ./4 + |t.(3/(40|
|00002e50| b7 b9 29 20 2d 20 31 2f | 34 29 29 2c 20 33 b7 53 |..) - 1/|4)), 3.S|
|00002e60| 49 4e 28 2d 20 33 2f 34 | 30 20 2b 20 b9 2f 34 20 |IN(- 3/4|0 + ./4 |
|00002e70| 2b 20 74 b7 28 33 2f 28 | 34 30 b7 b9 29 20 2d 20 |+ t.(3/(|40..) - |
|00002e80| 31 2f 34 29 29 2f 32 3b | 20 31 20 2d 20 43 4f 53 |1/4))/2;| 1 - COS|
|00002e90| 28 2d 20 39 2f 34 30 20 | 2b 20 b9 2f 34 20 2b 20 |(- 9/40 |+ ./4 + |
|00002ea0| 74 b7 28 39 2f 28 34 30 | b7 b9 29 20 2d 20 31 2f |t.(9/(40|..) - 1/|
|00002eb0| 34 29 29 2c 20 32 b7 53 | 49 4e 28 2d 20 39 2f 34 |4)), 2.S|IN(- 9/4|
|00002ec0| 30 20 2b 20 b9 2f 34 20 | 2b 20 74 b7 28 39 2f 28 |0 + ./4 |+ t.(9/(|
|00002ed0| 34 30 b7 b9 29 20 2d 20 | 31 2f 34 29 29 3b 20 31 |40..) - |1/4)); 1|
|00002ee0| 20 2d 20 43 4f 53 28 2d | 20 31 37 2f 34 30 20 2b | - COS(-| 17/40 +|
|00002ef0| 20 b9 2f 34 20 2b 20 74 | b7 28 31 37 2f 28 34 30 | ./4 + t|.(17/(40|
|00002f00| b7 b9 29 20 2d 20 31 2f | 34 29 29 2c 20 33 b7 53 |..) - 1/|4)), 3.S|
|00002f10| 49 4e 28 2d 20 31 37 2f | 34 30 20 2b 20 b9 2f 34 |IN(- 17/|40 + ./4|
|00002f20| 20 2b 20 74 b7 28 31 37 | 2f 28 34 30 b7 b9 29 20 | + t.(17|/(40..) |
|00002f30| 2d 20 31 2f 34 29 29 5d | 0d 0a 48 4b 3a 3d 5b 30 |- 1/4))]|..HK:=[0|
|00002f40| 2c 20 30 3b 20 34 2f 35 | 2c 20 30 3b 20 34 2f 35 |, 0; 4/5|, 0; 4/5|
|00002f50| 2c 20 31 2f 35 5d 0d 0a | 48 4f 4f 4b 3a 3d 5b 30 |, 1/5]..|HOOK:=[0|
|00002f60| 2c 20 30 3b 20 30 2c 20 | 33 3b 20 33 2f 31 30 2c |, 0; 0, |3; 3/10,|
|00002f70| 20 33 5d 0d 0a 48 4f 4f | 4b 31 3a 3d 5b 30 2c 20 | 3]..HOO|K1:=[0, |
|00002f80| 2d 33 3b 20 30 2c 20 33 | 3b 20 33 2f 31 30 2c 20 |-3; 0, 3|; 3/10, |
|00002f90| 33 5d 0d 0a 4c 49 4e 44 | 41 3a 3d 50 41 52 41 53 |3]..LIND|A:=PARAS|
|00002fa0| 28 5b 5b 74 2c 20 66 28 | 74 29 5d 2c 20 30 2c 20 |([[t, f(|t)], 0, |
|00002fb0| 32 3b 20 5b 66 31 28 74 | 29 2c 20 74 5d 2c 20 30 |2; [f1(t|), t], 0|
|00002fc0| 2c 20 32 5d 29 0d 0a 4f | 55 54 4c 49 4e 45 3a 3d |, 2])..O|UTLINE:=|
|00002fd0| 43 4f 4e 4e 45 43 54 28 | 5b 30 2c 20 30 3b 20 30 |CONNECT(|[0, 0; 0|
|00002fe0| 2c 20 32 3b 20 31 2f 32 | 2c 20 37 2f 32 3b 20 30 |, 2; 1/2|, 7/2; 0|
|00002ff0| 2c 20 30 5d 29 0d 0a 50 | 5f 31 3a 3d 50 4c 41 4e |, 0])..P|_1:=PLAN|
|00003000| 45 31 28 48 4b 2c 20 33 | 2f 32 2c 20 31 31 2f 31 |E1(HK, 3|/2, 11/1|
|00003010| 30 2c 20 33 2f 31 30 2c | 20 34 29 0d 0a 50 5f 31 |0, 3/10,| 4)..P_1|
|00003020| 30 3a 3d 50 4c 41 4e 45 | 31 30 28 48 4b 2c 20 32 |0:=PLANE|10(HK, 2|
|00003030| 2c 20 33 29 0d 0a 50 5f | 31 31 3a 3d 50 4c 41 4e |, 3)..P_|11:=PLAN|
|00003040| 45 31 31 28 48 4b 2c 20 | 32 2c 20 33 29 0d 0a 50 |E11(HK, |2, 3)..P|
|00003050| 5f 31 32 3a 3d 50 4c 41 | 4e 45 31 32 28 48 4b 2c |_12:=PLA|NE12(HK,|
|00003060| 20 32 2c 20 33 29 0d 0a | 50 5f 31 33 3a 3d 50 4c | 2, 3)..|P_13:=PL|
|00003070| 41 4e 45 31 33 28 48 4b | 2c 20 33 2c 20 33 29 0d |ANE13(HK|, 3, 3).|
|00003080| 0a 50 5f 31 34 3a 3d 50 | 4c 41 4e 45 31 34 28 48 |.P_14:=P|LANE14(H|
|00003090| 4b 2c 20 33 2c 20 33 29 | 0d 0a 50 5f 31 35 3a 3d |K, 3, 3)|..P_15:=|
|000030a0| 50 4c 41 4e 45 31 35 28 | 52 4f 54 28 48 4b 2c 20 |PLANE15(|ROT(HK, |
|000030b0| 31 2f 34 29 2c 20 33 2c | 20 33 29 0d 0a 50 5f 31 |1/4), 3,| 3)..P_1|
|000030c0| 36 3a 3d 50 4c 41 4e 45 | 31 36 28 48 4b 2c 20 33 |6:=PLANE|16(HK, 3|
|000030d0| 2c 20 33 29 0d 0a 50 5f | 31 37 3a 3d 50 4c 41 4e |, 3)..P_|17:=PLAN|
|000030e0| 45 31 37 28 48 4b 2c 20 | 33 2c 20 33 29 0d 0a 50 |E17(HK, |3, 3)..P|
|000030f0| 5f 32 3a 3d 50 4c 41 4e | 45 32 28 48 4b 2c 20 33 |_2:=PLAN|E2(HK, 3|
|00003100| 2c 20 31 31 2f 31 30 2c | 20 33 2f 31 30 2c 20 34 |, 11/10,| 3/10, 4|
|00003110| 29 0d 0a 50 5f 33 3a 3d | 50 4c 41 4e 45 33 28 48 |)..P_3:=|PLANE3(H|
|00003120| 4b 2c 20 32 2c 20 31 2c | 20 34 29 0d 0a 50 5f 34 |K, 2, 1,| 4)..P_4|
|00003130| 3a 3d 50 4c 41 4e 45 34 | 28 48 4b 2c 20 31 2c 20 |:=PLANE4|(HK, 1, |
|00003140| 31 2c 20 34 29 0d 0a 50 | 5f 35 3a 3d 50 4c 41 4e |1, 4)..P|_5:=PLAN|
|00003150| 45 35 28 48 4b 2c 20 32 | 2c 20 32 2c 20 34 29 0d |E5(HK, 2|, 2, 4).|
|00003160| 0a 50 5f 36 3a 3d 50 4c | 41 4e 45 36 28 48 4b 2c |.P_6:=PL|ANE6(HK,|
|00003170| 20 31 2c 20 31 2c 20 34 | 29 0d 0a 50 5f 37 3a 3d | 1, 1, 4|)..P_7:=|
|00003180| 50 4c 41 4e 45 37 28 48 | 4b 2c 20 32 2c 20 33 2f |PLANE7(H|K, 2, 3/|
|00003190| 32 2c 20 34 29 0d 0a 50 | 5f 38 3a 3d 50 4c 41 4e |2, 4)..P|_8:=PLAN|
|000031a0| 45 38 28 48 4b 2c 20 33 | 33 2f 31 30 2c 20 31 31 |E8(HK, 3|3/10, 11|
|000031b0| 2f 35 2c 20 34 29 0d 0a | 50 5f 39 3a 3d 50 4c 41 |/5, 4)..|P_9:=PLA|
|000031c0| 4e 45 39 28 48 4b 2c 20 | 37 2f 32 2c 20 31 31 2f |NE9(HK, |7/2, 11/|
|000031d0| 35 2c 20 34 29 0d 0a 53 | 51 55 5f 3a 3d 43 4f 4e |5, 4)..S|QU_:=CON|
|000031e0| 4e 45 43 54 28 5b 30 2c | 20 30 3b 20 30 2c 20 31 |NECT([0,| 0; 0, 1|
|000031f0| 3b 20 31 2c 20 31 3b 20 | 31 2c 20 30 3b 20 30 2c |; 1, 1; |1, 0; 0,|
|00003200| 20 30 5d 29 0d 0a 53 5f | 31 3a 3d 53 54 52 49 50 | 0])..S_|1:=STRIP|
|00003210| 31 28 48 4f 4f 4b 31 2c | 20 31 2c 20 31 30 29 0d |1(HOOK1,| 1, 10).|
|00003220| 0a 53 5f 32 3a 3d 53 54 | 52 49 50 32 28 48 4f 4f |.S_2:=ST|RIP2(HOO|
|00003230| 4b 31 2c 20 31 2c 20 31 | 30 29 0d 0a 53 5f 33 3a |K1, 1, 1|0)..S_3:|
|00003240| 3d 53 54 52 49 50 33 28 | 48 4f 4f 4b 31 2c 20 31 |=STRIP3(|HOOK1, 1|
|00003250| 2c 20 31 30 29 0d 0a 53 | 5f 34 3a 3d 53 54 52 49 |, 10)..S|_4:=STRI|
|00003260| 50 34 28 48 4f 4f 4b 31 | 2c 20 31 2c 20 31 30 29 |P4(HOOK1|, 1, 10)|
|00003270| 0d 0a 53 5f 35 3a 3d 53 | 54 52 49 50 35 28 48 4f |..S_5:=S|TRIP5(HO|
|00003280| 4f 4b 31 2c 20 31 2c 20 | 31 30 29 0d 0a 53 5f 36 |OK1, 1, |10)..S_6|
|00003290| 3a 3d 53 54 52 49 50 36 | 28 48 4f 4f 4b 2c 20 31 |:=STRIP6|(HOOK, 1|
|000032a0| 2c 20 31 30 29 0d 0a 53 | 5f 37 3a 3d 53 54 52 49 |, 10)..S|_7:=STRI|
|000032b0| 50 37 28 48 4f 4f 4b 2c | 20 31 2c 20 31 30 29 0d |P7(HOOK,| 1, 10).|
|000032c0| 0a 54 52 49 5f 3a 3d 43 | 4f 4e 4e 45 43 54 28 5b |.TRI_:=C|ONNECT([|
|000032d0| 30 2c 20 30 3b 20 31 2c | 20 30 3b 20 31 2c 20 31 |0, 0; 1,| 0; 1, 1|
|000032e0| 3b 20 30 2c 20 30 5d 29 | 0d 0a 5a 5a 5a 3a 3d 50 |; 0, 0])|..ZZZ:=P|
|000032f0| 41 52 41 53 28 5b 5b 43 | 4f 53 28 b2 29 2c 20 53 |ARAS([[C|OS(.), S|
|00003300| 49 4e 28 b2 29 20 2b 20 | 32 5d 2c 20 30 2c 20 2d |IN(.) + |2], 0, -|
|00003310| 20 b9 2f 32 3b 20 5b 31 | 2c 20 74 5d 2c 20 30 2c | ./2; [1|, t], 0,|
|00003320| 20 32 3b 20 5b 43 4f 53 | 28 b2 29 20 2b 20 32 2c | 2; [COS|(.) + 2,|
|00003330| 20 53 49 4e 28 b2 29 5d | 2c 20 b9 2f 32 2c 20 b9 | SIN(.)]|, ./2, .|
|00003340| 5d 29 0d 0a 64 69 73 63 | 73 3a 3d 56 45 43 54 4f |])..disc|s:=VECTO|
|00003350| 52 28 28 78 20 2d 20 31 | 29 5e 32 20 2b 20 28 79 |R((x - 1|)^2 + (y|
|00003360| 20 2d 20 33 b7 32 5e 28 | 2d 6e 29 29 5e 32 20 3c | - 3.2^(|-n))^2 <|
|00003370| 20 31 b7 32 5e 28 2d 20 | 32 b7 6e 29 20 8f 20 79 | 1.2^(- |2.n) . y|
|00003380| 20 92 20 30 2c 20 6e 2c | 20 30 2c 20 33 29 0d 0a | . 0, n,| 0, 3)..|
|00003390| 66 6c 6f 77 65 72 3a 3d | 78 5e 32 20 2b 20 79 5e |flower:=|x^2 + y^|
|000033a0| 32 20 3c 20 33 2f 31 30 | 30 20 90 20 28 31 20 2d |2 < 3/10|0 . (1 -|
|000033b0| 20 32 b7 79 20 2b 20 32 | b7 79 5e 32 20 2d 20 32 | 2.y + 2|.y^2 - 2|
|000033c0| b7 78 20 2b 20 32 b7 78 | 5e 32 29 2f 32 20 93 20 |.x + 2.x|^2)/2 . |
|000033d0| 31 2f 34 0d 0a 68 43 72 | 6f 73 73 3a 3d 41 50 50 |1/4..hCr|oss:=APP|
|000033e0| 52 4f 58 28 32 30 38 33 | 33 33 33 33 33 33 33 33 |ROX(2083|33333333|
|000033f0| 33 33 33 33 2f 32 30 30 | 30 30 30 30 30 30 30 30 |3333/200|00000000|
|00003400| 30 30 30 30 30 29 0d 0a | 68 6f 6f 6b 3a 3d 5b 30 |00000)..|hook:=[0|
|00003410| 2c 20 30 3b 20 30 2c 20 | 33 3b 20 33 2f 31 30 2c |, 0; 0, |3; 3/10,|
|00003420| 20 33 5d 0d 0a 68 79 70 | 3a 3d 31 2f 35 20 93 20 | 3]..hyp|:=1/5 . |
|00003430| 32 b7 78 b7 79 20 93 20 | 31 2f 32 0d 0a 6b 65 79 |2.x.y . |1/2..key|
|00003440| 3a 3d 28 78 20 3c 20 31 | 2f 31 30 20 8f 20 2d 32 |:=(x < 1|/10 . -2|
|00003450| 20 3c 20 79 20 3c 20 32 | 29 20 90 20 28 30 20 3c | < y < 2|) . (0 <|
|00003460| 20 78 20 3c 20 31 20 8f | 20 36 2f 35 20 3c 20 79 | x < 1 .| 6/5 < y|
|00003470| 20 3c 20 32 29 20 90 20 | 28 34 2f 35 20 3c 20 78 | < 2) . |(4/5 < x|
|00003480| 20 3c 20 31 20 8f 20 2d | 20 39 2f 31 30 20 3c 20 | < 1 . -| 9/10 < |
|00003490| 79 20 3c 20 32 29 20 90 | 20 28 32 2f 35 20 3c 20 |y < 2) .| (2/5 < |
|000034a0| 78 20 3c 20 31 20 8f 20 | 2d 20 39 2f 31 30 20 3c |x < 1 . |- 9/10 <|
|000034b0| 20 79 20 3c 20 2d 20 31 | 2f 31 30 29 0d 0a 6c 65 | y < - 1|/10)..le|
|000034c0| 61 66 3a 3d 28 78 20 2d | 20 31 2f 32 29 5e 32 20 |af:=(x -| 1/2)^2 |
|000034d0| 2b 20 79 5e 32 20 3c 20 | 31 2f 34 20 8f 20 78 5e |+ y^2 < |1/4 . x^|
|000034e0| 32 20 2b 20 28 79 20 2d | 20 31 2f 32 29 5e 32 20 |2 + (y -| 1/2)^2 |
|000034f0| 3c 20 31 2f 34 0d 0a 6c | 69 6e 64 61 3a 3d 28 28 |< 1/4..l|inda:=((|
|00003500| 78 20 93 20 66 31 28 79 | 29 20 8f 20 79 20 92 20 |x . f1(y|) . y . |
|00003510| 66 28 78 29 29 20 90 20 | 28 79 20 93 20 66 28 78 |f(x)) . |(y . f(x|
|00003520| 29 20 8f 20 78 20 92 20 | 66 31 28 79 29 29 29 20 |) . x . |f1(y))) |
|00003530| 8f 20 30 20 93 20 78 20 | 93 20 32 0d 0a 6f 75 74 |. 0 . x |. 2..out|
|00003540| 6c 69 6e 65 3a 3d 43 4f | 4e 4e 45 43 54 28 5b 30 |line:=CO|NNECT([0|
|00003550| 2c 20 30 3b 20 30 2c 20 | 32 3b 20 31 2f 32 2c 20 |, 0; 0, |2; 1/2, |
|00003560| 37 2f 32 3b 20 30 2c 20 | 30 5d 29 0d 0a 70 5f 31 |7/2; 0, |0])..p_1|
|00003570| 3a 3d 70 6c 61 6e 65 31 | 28 75 33 5f 2c 20 33 2f |:=plane1|(u3_, 3/|
|00003580| 32 2c 20 31 31 2f 31 30 | 2c 20 33 2f 31 30 29 0d |2, 11/10|, 3/10).|
|00003590| 0a 70 5f 31 30 3a 3d 70 | 6c 61 6e 65 31 30 28 75 |.p_10:=p|lane10(u|
|000035a0| 32 5f 2c 20 32 29 0d 0a | 70 5f 31 31 3a 3d 70 6c |2_, 2)..|p_11:=pl|
|000035b0| 61 6e 65 31 31 28 75 32 | 5f 2c 20 32 29 0d 0a 70 |ane11(u2|_, 2)..p|
|000035c0| 5f 31 32 3a 3d 70 6c 61 | 6e 65 31 32 28 75 32 5f |_12:=pla|ne12(u2_|
|000035d0| 2c 20 32 29 0d 0a 70 5f | 31 33 3a 3d 70 6c 61 6e |, 2)..p_|13:=plan|
|000035e0| 65 31 33 28 74 72 69 5f | 2c 20 33 29 0d 0a 70 5f |e13(tri_|, 3)..p_|
|000035f0| 31 34 3a 3d 70 6c 61 6e | 65 31 34 28 74 72 69 5f |14:=plan|e14(tri_|
|00003600| 2c 20 33 29 0d 0a 70 5f | 31 35 3a 3d 70 6c 61 6e |, 3)..p_|15:=plan|
|00003610| 65 31 35 28 74 72 69 5f | 2c 20 33 29 0d 0a 70 5f |e15(tri_|, 3)..p_|
|00003620| 31 36 3a 3d 70 6c 61 6e | 65 31 36 28 74 72 69 5f |16:=plan|e16(tri_|
|00003630| 2c 20 33 29 0d 0a 70 5f | 31 37 3a 3d 70 6c 61 6e |, 3)..p_|17:=plan|
|00003640| 65 31 37 28 74 72 69 5f | 2c 20 33 29 0d 0a 70 5f |e17(tri_|, 3)..p_|
|00003650| 32 3a 3d 70 6c 61 6e 65 | 32 28 75 33 5f 2c 20 33 |2:=plane|2(u3_, 3|
|00003660| 2c 20 31 31 2f 31 30 2c | 20 33 2f 31 30 29 0d 0a |, 11/10,| 3/10)..|
|00003670| 70 5f 33 3a 3d 70 6c 61 | 6e 65 33 28 75 32 5f 2c |p_3:=pla|ne3(u2_,|
|00003680| 20 32 2c 20 31 29 0d 0a | 70 5f 34 3a 3d 70 6c 61 | 2, 1)..|p_4:=pla|
|00003690| 6e 65 34 28 75 32 5f 2c | 20 31 2c 20 31 29 0d 0a |ne4(u2_,| 1, 1)..|
|000036a0| 70 5f 35 3a 3d 70 6c 61 | 6e 65 35 28 75 32 5f 2c |p_5:=pla|ne5(u2_,|
|000036b0| 20 32 2c 20 32 29 0d 0a | 70 5f 36 3a 3d 70 6c 61 | 2, 2)..|p_6:=pla|
|000036c0| 6e 65 36 28 75 32 5f 2c | 20 31 2c 20 31 29 0d 0a |ne6(u2_,| 1, 1)..|
|000036d0| 70 5f 37 3a 3d 70 6c 61 | 6e 65 37 28 75 33 5f 2c |p_7:=pla|ne7(u3_,|
|000036e0| 20 32 2c 20 33 2f 32 29 | 0d 0a 70 5f 38 3a 3d 70 | 2, 3/2)|..p_8:=p|
|000036f0| 6c 61 6e 65 38 28 73 71 | 75 5f 2c 20 33 33 2f 31 |lane8(sq|u_, 33/1|
|00003700| 30 2c 20 31 31 2f 35 29 | 0d 0a 70 5f 39 3a 3d 70 |0, 11/5)|..p_9:=p|
|00003710| 6c 61 6e 65 39 28 73 71 | 75 5f 2c 20 37 2f 32 2c |lane9(sq|u_, 7/2,|
|00003720| 20 31 31 2f 35 29 0d 0a | 70 65 74 61 6c 3a 3d 78 | 11/5)..|petal:=x|
|00003730| 5e 32 20 93 20 32 b7 79 | 20 93 20 78 b7 28 32 20 |^2 . 2.y| . x.(2 |
|00003740| 2d 20 78 29 0d 0a 72 6f | 6d 61 6e 3a 3d 79 20 93 |- x)..ro|man:=y .|
|00003750| 20 33 2f 35 20 8f 20 28 | 28 32 2f 35 20 93 20 79 | 3/5 . (|(2/5 . y|
|00003760| 20 8f 20 78 20 92 20 32 | 2f 35 29 20 90 20 78 20 | . x . 2|/5) . x |
|00003770| 92 20 34 2f 35 29 0d 0a | 73 5f 31 3a 3d 73 74 72 |. 4/5)..|s_1:=str|
|00003780| 69 70 31 28 75 34 5f 2c | 20 31 29 0d 0a 73 5f 32 |ip1(u4_,| 1)..s_2|
|00003790| 3a 3d 73 74 72 69 70 32 | 28 75 34 5f 2c 20 31 29 |:=strip2|(u4_, 1)|
|000037a0| 0d 0a 73 5f 33 3a 3d 73 | 74 72 69 70 33 28 75 34 |..s_3:=s|trip3(u4|
|000037b0| 5f 2c 20 31 29 0d 0a 73 | 5f 34 3a 3d 73 74 72 69 |_, 1)..s|_4:=stri|
|000037c0| 70 34 28 75 34 5f 2c 20 | 31 29 0d 0a 73 5f 35 3a |p4(u4_, |1)..s_5:|
|000037d0| 3d 73 74 72 69 70 35 28 | 75 34 5f 2c 20 31 29 0d |=strip5(|u4_, 1).|
|000037e0| 0a 73 5f 36 3a 3d 73 74 | 72 69 70 36 28 75 31 5f |.s_6:=st|rip6(u1_|
|000037f0| 2c 20 31 29 0d 0a 73 5f | 37 3a 3d 73 74 72 69 70 |, 1)..s_|7:=strip|
|00003800| 37 28 75 31 5f 2c 20 31 | 29 0d 0a 73 71 75 5f 3a |7(u1_, 1|)..squ_:|
|00003810| 3d 30 20 93 20 78 20 93 | 20 31 20 8f 20 30 20 93 |=0 . x .| 1 . 0 .|
|00003820| 20 79 20 93 20 31 0d 0a | 74 72 69 5f 3a 3d 30 20 | y . 1..|tri_:=0 |
|00003830| 93 20 78 20 93 20 31 20 | 8f 20 30 20 93 20 79 20 |. x . 1 |. 0 . y |
|00003840| 93 20 31 20 8f 20 78 20 | 92 20 79 0d 0a 75 31 3a |. 1 . x |. y..u1:|
|00003850| 3d 78 20 92 20 30 20 8f | 20 79 20 3c 20 33 b7 78 |=x . 0 .| y < 3.x|
|00003860| 20 2b 20 32 20 8f 20 79 | 20 3e 20 37 b7 78 0d 0a | + 2 . y| > 7.x..|
|00003870| 75 31 5f 3a 3d 78 20 92 | 20 30 20 8f 20 79 20 3c |u1_:=x .| 0 . y <|
|00003880| 20 33 b7 78 20 2b 20 32 | 20 8f 20 79 20 3e 20 37 | 3.x + 2| . y > 7|
|00003890| b7 78 0d 0a 75 32 3a 3d | 32 b7 78 20 2d 20 39 2f |.x..u2:=|2.x - 9/|
|000038a0| 31 30 20 3c 20 79 20 3c | 20 78 0d 0a 75 32 5f 3a |10 < y <| x..u2_:|
|000038b0| 3d 32 b7 78 20 2d 20 39 | 2f 31 30 20 3c 20 79 20 |=2.x - 9|/10 < y |
|000038c0| 3c 20 78 0d 0a 75 33 3a | 3d 31 31 2f 31 30 b7 79 |< x..u3:|=11/10.y|
|000038d0| 20 3c 20 78 20 93 20 31 | 0d 0a 75 33 5f 3a 3d 31 | < x . 1|..u3_:=1|
|000038e0| 31 2f 31 30 b7 79 20 3c | 20 78 20 93 20 31 0d 0a |1/10.y <| x . 1..|
|000038f0| 75 34 5f 3a 3d 78 20 92 | 20 30 20 8f 20 79 20 3c |u4_:=x .| 0 . y <|
|00003900| 20 33 b7 78 20 2b 20 32 | 20 8f 20 79 20 3e 20 31 | 3.x + 2| . y > 1|
|00003910| 34 b7 78 20 2d 20 33 0d | 0a 76 43 72 6f 73 73 3a |4.x - 3.|.vCross:|
|00003920| 3d 41 50 50 52 4f 58 28 | 39 35 32 33 38 30 39 35 |=APPROX(|95238095|
|00003930| 32 33 38 30 39 35 32 33 | 33 2f 31 30 30 30 30 30 |23809523|3/100000|
|00003940| 30 30 30 30 30 30 30 30 | 30 30 30 30 29 0d 0a 78 |00000000|0000)..x|
|00003950| 30 3a 3d 0d 0a 79 30 3a | 3d 0d 0a a9 3a 3d 0d 0a |0:=..y0:|=...:=..|
|00003960| b2 3a 3d 0d 0a d9 00 ff | ff 00 00 08 00 43 54 65 |.:=.....|.....CTe|
|00003970| 78 74 4f 62 6a 08 00 00 | 00 0c 00 00 00 04 03 00 |xtObj...|........|
|00003980| 00 55 00 00 00 00 ff 12 | 02 7b 5c 72 74 66 31 5c |.U......|.{\rtf1\|
|00003990| 61 6e 73 69 5c 64 65 66 | 66 30 5c 64 65 66 74 61 |ansi\def|f0\defta|
|000039a0| 62 37 32 30 7b 5c 66 6f | 6e 74 74 62 6c 7b 5c 66 |b720{\fo|nttbl{\f|
|000039b0| 30 5c 66 73 77 69 73 73 | 20 4d 53 20 53 61 6e 73 |0\fswiss| MS Sans|
|000039c0| 20 53 65 72 69 66 3b 7d | 7b 5c 66 31 5c 66 72 6f | Serif;}|{\f1\fro|
|000039d0| 6d 61 6e 5c 66 63 68 61 | 72 73 65 74 32 20 53 79 |man\fcha|rset2 Sy|
|000039e0| 6d 62 6f 6c 3b 7d 7b 5c | 66 32 5c 66 73 77 69 73 |mbol;}{\|f2\fswis|
|000039f0| 73 5c 66 70 72 71 32 20 | 53 79 73 74 65 6d 3b 7d |s\fprq2 |System;}|
|00003a00| 7b 5c 66 33 5c 66 73 77 | 69 73 73 5c 66 63 68 61 |{\f3\fsw|iss\fcha|
|00003a10| 72 73 65 74 31 20 41 72 | 69 61 6c 3b 7d 7b 5c 66 |rset1 Ar|ial;}{\f|
|00003a20| 34 5c 66 6d 6f 64 65 72 | 6e 5c 66 63 68 61 72 73 |4\fmoder|n\fchars|
|00003a30| 65 74 32 20 44 66 57 35 | 20 50 72 69 6e 74 65 72 |et2 DfW5| Printer|
|00003a40| 3b 7d 7b 5c 66 35 5c 66 | 73 77 69 73 73 5c 66 70 |;}{\f5\f|swiss\fp|
|00003a50| 72 71 32 5c 66 63 68 61 | 72 73 65 74 31 20 41 72 |rq2\fcha|rset1 Ar|
|00003a60| 69 61 6c 3b 7d 7d 0d 0a | 7b 5c 63 6f 6c 6f 72 74 |ial;}}..|{\colort|
|00003a70| 62 6c 5c 72 65 64 30 5c | 67 72 65 65 6e 30 5c 62 |bl\red0\|green0\b|
|00003a80| 6c 75 65 30 3b 7d 0d 0a | 5c 64 65 66 6c 61 6e 67 |lue0;}..|\deflang|
|00003a90| 32 30 35 37 5c 70 61 72 | 64 5c 70 6c 61 69 6e 5c |2057\par|d\plain\|
|00003aa0| 66 33 5c 66 73 32 34 5c | 62 20 50 41 54 54 53 32 |f3\fs24\|b PATTS2|
|00003ab0| 44 2e 44 46 57 5c 70 6c | 61 69 6e 5c 66 33 5c 66 |D.DFW\pl|ain\f3\f|
|00003ac0| 73 32 34 20 20 2d 20 41 | 20 55 74 69 6c 69 74 79 |s24  - A| Utility|
|00003ad0| 2f 44 65 6d 6f 20 46 69 | 6c 65 20 66 6f 72 20 64 |/Demo Fi|le for d|
|00003ae0| 72 61 77 69 6e 67 20 32 | 44 2d 50 61 74 74 65 72 |rawing 2|D-Patter|
|00003af0| 6e 73 20 69 6e 20 44 45 | 52 49 56 45 20 35 2e 0d |ns in DE|RIVE 5..|
|00003b00| 0a 5c 70 61 72 20 56 65 | 72 73 69 6f 6e 20 31 20 |.\par Ve|rsion 1 |
|00003b10| 28 33 2e 39 2e 32 30 30 | 30 29 0d 0a 5c 70 61 72 |(3.9.200|0)..\par|
|00003b20| 20 50 65 74 65 72 20 53 | 63 68 6f 66 69 65 6c 64 | Peter S|chofield|
|00003b30| 2c 20 54 72 69 6e 69 74 | 79 20 61 6e 64 20 41 6c |, Trinit|y and Al|
|00003b40| 6c 20 53 61 69 6e 74 73 | 2c 20 55 6e 69 76 65 72 |l Saints|, Univer|
|00003b50| 73 69 74 79 20 6f 66 20 | 4c 65 65 64 73 2e 0d 0a |sity of |Leeds...|
|00003b60| 5c 70 61 72 20 65 6d 61 | 69 6c 3a 20 70 5f 73 63 |\par ema|il: p_sc|
|00003b70| 68 6f 66 69 65 6c 64 40 | 74 61 73 63 2e 61 63 2e |hofield@|tasc.ac.|
|00003b80| 75 6b 5c 70 6c 61 69 6e | 5c 66 34 5c 66 73 32 34 |uk\plain|\f4\fs24|
|00003b90| 20 0d 0a 5c 70 61 72 20 | 7d 0d 0a 01 80 08 00 00 | ..\par |}.......|
|00003ba0| 00 61 00 00 00 04 03 00 | 00 a4 00 00 00 00 ff f9 |.a......|........|
|00003bb0| 01 7b 5c 72 74 66 31 5c | 61 6e 73 69 5c 64 65 66 |.{\rtf1\|ansi\def|
|00003bc0| 66 30 5c 64 65 66 74 61 | 62 37 32 30 7b 5c 66 6f |f0\defta|b720{\fo|
|00003bd0| 6e 74 74 62 6c 7b 5c 66 | 30 5c 66 73 77 69 73 73 |nttbl{\f|0\fswiss|
|00003be0| 20 4d 53 20 53 61 6e 73 | 20 53 65 72 69 66 3b 7d | MS Sans| Serif;}|
|00003bf0| 7b 5c 66 31 5c 66 72 6f | 6d 61 6e 5c 66 63 68 61 |{\f1\fro|man\fcha|
|00003c00| 72 73 65 74 32 20 53 79 | 6d 62 6f 6c 3b 7d 7b 5c |rset2 Sy|mbol;}{\|
|00003c10| 66 32 5c 66 73 77 69 73 | 73 5c 66 70 72 71 32 20 |f2\fswis|s\fprq2 |
|00003c20| 53 79 73 74 65 6d 3b 7d | 7b 5c 66 33 5c 66 73 77 |System;}|{\f3\fsw|
|00003c30| 69 73 73 5c 66 63 68 61 | 72 73 65 74 31 20 41 72 |iss\fcha|rset1 Ar|
|00003c40| 69 61 6c 3b 7d 7b 5c 66 | 34 5c 66 6d 6f 64 65 72 |ial;}{\f|4\fmoder|
|00003c50| 6e 5c 66 63 68 61 72 73 | 65 74 32 20 44 66 57 35 |n\fchars|et2 DfW5|
|00003c60| 20 50 72 69 6e 74 65 72 | 3b 7d 7b 5c 66 35 5c 66 | Printer|;}{\f5\f|
|00003c70| 73 77 69 73 73 5c 66 70 | 72 71 32 5c 66 63 68 61 |swiss\fp|rq2\fcha|
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+--------+-------------------------+-------------------------+--------+--------+