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- "A mountain:"
-
- z=1/(9+x^2+y^2)
-
- "A mountain and a crater:"
-
- z=-y/(9+x^2+y^2)
-
- "Two mountains:"
-
- z=1/(9+x^2+(y-3)^2)+1/(9+x^2+(y+3)^2)
-
- "A hanging valley:"
-
- z=7*x^2-y^3
-
- "A saddle:"
-
- z=y^2-x^2
-
- "A sway-back roof:"
-
- z=y^2/5-3*ABS(x)
-
- "A pinched ridge:"
-
- z=(y^2+1/10)/(x^2+y^2+1/10)
-
- "A monkey saddle:"
-
- z=y*(3*x^2-y^2)
-
- "A pinched monkey saddle:"
-
- z=x*y*(SIGN(x+1/10)*SQRT(x^2+y^2)+2*y)/(x^2+y^2+1/10)
-
- "Intersecting ridges:"
-
- z=-SQRT(ABS(x*y))
-
- "A pagoda roof:"
-
- z=-SQRT(ABS(x))-SQRT(ABS(y))
-
- "A ridge intersecting a valley:"
-
- z=SQRT(ABS(x))-SQRT(ABS(y))
-
- "A ridge that becomes a valley:"
-
- z=-y*SQRT(ABS(x))
-
- "A Hawaiian volcano:"
-
- z=1000/(50+((x^2+y^2)^(1/2)-37/10)^2)-15
-
- "A Mexican sombrero:"
-
- z=12*COS((x^2+y^2)/4)/(3+x^2+y^2)
-
- "A surfer's perfect wave:"
-
- z=EXP(-x/9)*(pi/2-ATAN(y))
-
- "A cliff is born:"
-
- z=ATAN(-y,x+1/10)
-
- "Two mountains separated by a crater:"
-
- z=-COS(3*pi*x/10)*COS(pi*y/10)
-
- "Three mountains:"
-
- z=-COS(3*pi*x/10)*SIN(pi*y/5)
-
- "A torus (donut); s and t go from -π to π:"
-
- [4*COS(t)-SIN(s)*COS(t),4*SIN(t)-SIN(s)*SIN(t),COS(s)]
-
- "A twisted helix space curve; s goes from -2π to 2π:"
-
- [COS(s),SIN(s),s]
-
- "A twisted helix; s goes from -5 to 5, and t goes from -π to π:"
-
- [COS(s)*(4-COS(t))+SQRT(26)*SIN(s)*SIN(t)/26,SIN(s)*(4-COS(t))-SQRT(26)*COS(s~
- )*SIN(t)/26,5*SQRT(26)*SIN(t)/26+4*s/5]
-
- "Spiral staircase"
-
- [u*SIN(t),u*COS(t),t]
-
- "Ring around a donut"
-
- [10*COS(a*pi/5)-3*SIN(b*pi/5)*COS(a*pi/5),10*SIN(a*pi/5)-3*SIN(b*pi/5)*SIN(a*~
- pi/5),COS(b*pi/5)]
-
- "Open ended box:"
-
- [[[3,3,3],[3,3,-3]],[[3,-3,3],[3,-3,-3]],[[-3,-3,3],[-3,-3,-3]],[[-3,3,3],[-3~
- ,3,-3]],[[3,3,3],[3,3,-3]]]
-
- "A sphere of radius 5; s goes from -π to π, t goes from 0 to π"
-
- r=5
-
- "The side, top, and bottom of a tin can; s goes from -5 to 5, t goes from -π ~
- to π"
-
- [[4,t,s],[4/10*s+2,t,5],[4/10*s+2,t,-5]]