[back]  3.51. Kuen's Surface 
[next] 
The Kuen's Surface [ 2,7,11 ] is represented by the following equations. To keep the formulas a little clearer, we use the constant h.
h = 1 + u ^{2} sin(v) sin(v) 
3168 

x = (2 (cos(u) + u sin(u)) sin(v))/h 
3169 

y = (2 (u cos(u) + sin(u)) sin(v))/h 
3170 

z = log(tan(v/2)) + 2 cos(v)/h 
3171 
To represent the area, the two parameters u and v can assume the following values (domain of definition), for example.
u is an element from the set of numbers [4.3, 4.3] 

v is an element of the number set [0.03, 3.11] 
The Kuen's Surface is an open figure, so the definition range can be changed with the plugin.
[back]  [Table of contents]  [next] 