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２）

===== Riemann =====
x(u,v)=u*v
y(u,v)=v^2 - u^2
z(u,v)=30*u
-6<=u<=6,-25<=v<=25


===== Klein 2 =====
x(u,v)=(2 + cos(v/2)* sin(u) - sin(v/2)* sin(2 *u))* cos(v)
y(u,v)=(2 + cos(v/2)* sin(u) - sin(v/2)* sin(2 *u))* sin(v)
z(u,v)=sin(v/2)* sin(u) + cos(v/2) *sin(2* u)
0<=u<=2*Pi,o<=v<=2*Pi


===== Hennenberg =====
x(u,v)=2*sinh(u)*cos(v) -(2/3)*sinh(3*u)*cos(3*v)
y(u,v)=2*sinh(u)*sin(v) +(2/3)*sinh(3*u)*sin(3*v)
z(u,v)=2*cosh(2*u)*cos(2*v)
-1<=u<=1,-Pi/2<=v<=Pi/2


===== Eneper =====
x(u,v)=u -u^3/3 + u*v^2
y(u,v)=v -v^3/3 + v*u^2
z(u,v)=u^2 - v^2
-2<=u<=2,-2<=v<=2


===== Helix =====
x(u,v)=(1-0.1*cos(v))*cos(u)
y(u,v)=(1-0.1*cos(v))*sin(u)
z(u,v)=0.1*(sin(v) + u/1.7 -10)
0<=u<=4*Pi,0<=v<=2*Pi