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- Bumpy Wave
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- X = cos u * (4+cos v)
- Y = sin u * (4+cos v)
- Z = 4*sin(2*u) + sin v*(1.2-sin v)
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- 0 < u < 2*pi
- 0 < v < 2*pi
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- Enneper's Surface
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- X = u * (1+v*v) - u*u*u
- Y = v * (1+u*u) - v*v*v
- Z = u*u - v*v
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- -1.4 < u < 1.4
- -1.4 < v < 1.4
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- Mobius Strip
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- X = (.5 + u * cos(v/2)) * cos v
- Y = (.5 + u * cos(v/2)) * sin v
- Z = u * sin(v/2)
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- 0 < u < 2*pi
- 0 < v < 2*pi
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- Roman Surface
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- X = cos v * sin(2*u)
- Y = sin v * sin(2*u)
- Z = sin(2*v) * (cos u)^2
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- 0 < u < pi
- 0 < v < pi
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- Snails
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- X = cos u * (exp(u/10) - 1) * (1+cos v)
- Y = sin u * (exp(u/10) - 1) * (1+cos v)
- Z = (exp(u/10) - 1) * sin v
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- and
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- X = cos u * (exp(u/10) - 1) * (cos v+.8)
- Y = sin u * (exp(u/10) - 1) * (cos v+.8)
- Z = (exp(u/10) - 1) * sin v
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- and
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- X = cos u*(exp(u/10)-1)*(cos v+.8)*(.9+(max(abs(cos(9*u)/8))(abs(cos(9*u+pi/2)/8))))
- Y = sin u*(exp(u/10)-1)*(cos v+.8)*(.9+(max(abs(cos(9*u)/8))(abs(cos(9*u+pi/2)/8))))
- Z = (exp(u/10) - 1) * sin v * (.9+(max (abs(cos(9*u)/8))(abs(cos(9*u+pi/2)/8))))
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- all take
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- 0 < u < 5*pi
- 0 < v < 2*pi
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- Zeeman Bracelet
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- X = cos v * (2+sin(u+v/3))
- Y = sin v * (2+sin(u+v/3))
- Z = cos(u+v/3)
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- 0 < u < 2*pi, stepping by 2*pi/3
- 0 < v < 2*pi
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- Torus
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- X = cos u * (2+cos v)
- Y = sin u * (2+cos v)
- Z = sin v
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- 0 < u < 2*pi
- 0 < v < 2*pi
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- Helix
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- X = cos u * (2+cos v)
- Y = sin u * (2+cos v)
- Z = (u-2*pi) + sin v
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- 0 < u < 4*pi
- 0 < v < 2*pi
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- Diffraction Pattern / Ripples
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- X = u * cos v
- Y = u * sin v
- Z = (cos(4*u))^2 * exp(0-u)
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- 0 < u < pi
- 0 < v < 2*pi
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- Unnamed simple surfaces:
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- X = cos u * (2 + (cos(u/2))^2 * sin v)
- Y = sin u * (2 + (cos(u/2))^2 * sin v)
- Z = (cos(u/2))^2 * cos v
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- -pi < u < pi
- -pi < v < pi
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- X = cos u * (2 + exp u * sin v)
- Y = sin u * (2 + exp u * sin v)
- Z = exp u * cos v
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- -pi < u < pi
- -pi < v < pi
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- X = cos u * sin v
- Y = cos u * sin u
- Z = sin u* sin v
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- 0 < u < pi
- 0 < v < pi or 2*pi
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- X = cos u * sin u
- Y = cos v * sin v
- Z = cos u * sin v
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- -pi < u < pi
- -pi < v < pi
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- X = cos(2*u) * sin v
- Y = sin(2*u) * cos v
- Z = cos(u*v) * sin(u*v)
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- 0 < u < 1, stepping by 1
- -pi < v < pi, stepping by pi/1200
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- X = cos u * (4+cos v)
- Y = sin u * (4+cos v)
- Z = 3*sin u + (sin(3*v) * (1.2+sin(3*v)))
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- 0 < u < 2*pi
- 0 < v < 2*pi
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- X = cos u * (4+cos(v/2))
- Y = sin u * (4+cos v)
- Z = 3*sin u + (sin v * (1.2+sin v))
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- 0 < u < 2*pi
- 0 < v < 2*pi
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- X = u * cos v
- Y = v * cos u
- Z = u * v * sin u * sin v
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- -pi < u < pi
- -pi < v < pi
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- X = cos u * sin(v^3/pi^2)
- Y = sin u * sin v
- Z = cos v
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- 0 < u < 2*pi
- 0 < v < pi
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- X = cos u * ((cos(3*u)+2) * sin v + .5)
- Y = sin u * ((cos(3*u)+2) * sin v + .5)
- Z = (cos(3*u)+2) * cos v
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- 0 < u < 2*pi
- 0 < v < 2*pi
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- X = cos u * sin v + cos(u+v*3)/3
- Y = cos u * sin v + cos(u+v*3)/3
- Z = cos v + cos(u+v*3)/3
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- 0 < u < 2*pi
- 0 < v < pi
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- Unnamed Complicated Surfaces:
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- X = cos(3*u) * sin(v)
- Y = sin(u) * sin(2*v)
- Z = cos(3*v)
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- 0 < u < 2*pi
- 0 < v < pi
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- X = cos(cos u) - .75
- Y = sin(sin v) - .5
- Z = cos(sin(u*v)) - .75
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- 0 < u < pi
- 0 < v < pi
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- X = cos(2*u) * sin v
- Y = sin(2*u) * cos v
- Z = cos(u*v) * sin(u*v)
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- -pi < u < pi
- -pi < v < pi
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- X = cos u * sin(v*v)
- Y = sin u * cos v
- Z = sin u * sin v + cos u * cos v
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- -pi < u < pi
- -pi < v < pi
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