工学解析って何？！　日本オンリーワン株式会社

面白い曲面（その３）

===== Hexaedron =====
X = cos(v)^3*cos(u)^3
Y = sin(v)^3*cos(u)^3
Z = sin(u)^3
With U[ -1.3, 1.3] And V[ 0, 2*pi]



===== Catalan =====
X = u-sin(u)*cosh(v)
Y = 1-cos(u)*cosh(v)
Z = 4*sin(1/2*u)*sinh(v/2)
With U[ -pi, 3*pi] And V[ -2, 2]



===== Toupie =====
X = (abs(u)-1)^2 * cos(v)
Y = (abs(u)-1)^2 * sin(v)
Z = u
With U[ -1, 1] And V[ 0, 2*pi]



===== Trumpet =====
X = cos(u)*sin(v)
Y = sin(u)*sin(v)
Z = (cos(v)+log(tan(1/2*v)))
With U[ 0, 2*pi] And V[ 0.03, 2]



===== Kuen =====
X = (2*(cos(u) + u*sin(u))*sin(v))/(1+ u^2*sin(v)^2)
Y = (2*(sin(u) - u*cos(u))*sin(v))/(1+ u^2*sin(v)^2)
Z = log(tan(1/2 *v)) + (2*cos(v))/(1+ u^2*sin(v)^2)
With U[ 0, 2*pi] And V[ 0.01, pi-0.01]