glenngds2008
Joined: 28 Sep 2008
Posts: 8
|
 Posted: Thu Oct 02, 2008 5:44 am Post subject: four leaf cosine crossed with a sphere |
 |
|
in Cylindrical Coordinates the formula is:
R=2*(sin(u)^2 - cos(u)^2)*sqrt(1-z*z)
and -1 < z < 1
IN Cartesian Coordinates it is
(x*x + y*y)*sqrt(x*x+y*y)/(2*sqrt(1-z*z)) - y*y + x*x:
- y*y + x*x - (x*x + y*y)*sqrt(x*x+y*y)/(2*sqrt(1-z*z)) :
Here is a picture of it:
 |
|
