May 09, 2008
面白い曲面(その15)

Sphere9
X = cos(u)*cos(v)*sin(u)
Y = cos(u)*sin(v)*cos(u)*sin(v)
Z = sin(u)*sin(v)*sin(u)*sin(v)
With U[ -pi/2, 0] And V[ 0, pi]

Sphere10
X = cos(u)*cos(v)*sin(u)*sin(v)*sin(v)*sin(v)
Y = cos(u)*sin(v)*cos(u)*sin(v)
Z = sin(u)*sin(v)*sin(u)*sin(v)*cos(u)
With U[ -pi/2, 0] And V[ 0, pi]

Star
X = cos(u)*cos(v)*(abs(cos(1*u/4))^0.5 + abs(sin(1*u/4))^0.5)^(-1/0.3)*(abs(cos(5*v/4))^1.7 + abs(sin(5*v/4))^1.7)^(-1/0.1)
Y = cos(u)*sin(v)*(abs(cos(1*u/4))^0.5 + abs(sin(1*u/4))^0.5)^(-1/0.3)*(abs(cos(5*v/4))^1.7 + abs(sin(5*v/4))^1.7)^(-1/0.1)
Z = sin(u)*(abs(cos(1*u/4))^0.5 + abs(sin(1*u/4))^0.5)^(-1/0.3)
With U[ -pi/2, pi/2] And V[ 0, 2*pi]

Star7
X = cos(u)*cos(v)*(abs(cos(7*v/4))^1.7 + abs(sin(7*v/4))^1.7)^(-1/0.2)*(abs(cos(7*u/4))^1.7 + abs(sin(7*u/4))^1.7)^(-1/0.2)
Y = cos(u)*sin(v)*(abs(cos(7*v/4))^1.7 + abs(sin(7*v/4))^1.7)^(-1/0.2)*(abs(cos(7*u/4))^1.7 + abs(sin(7*u/4))^1.7)^(-1/0.2)
Z = sin(u)*(abs(cos(7*u/4))^1.7 + abs(sin(7*u/4))^1.7)^(-1/0.2)
With U[ -pi/2, pi/2] And V[ 0, 2*pi]
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