Difference between revisions of "Manuals/calci/TORUS"

Revision as of 13:55, 24 October 2017

TORUS (Radius,TubeRadius,w1)

This function shows the Torus for the given value.
In $TORUS(Radius,TubeRadius,w1)$ , $Radius$ is the radius value of the bigger circle.
$TubeRadius$ is the radius value of the smaller circle.
A torus is a surface of revolution generated by revolving a circle in three dimensional space about an axis co planar with the circle. *If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution.
For example of TORUS are rings, doughnuts, and bagels.
A torus can be defined parametrically by:

 $x(\theta ,\phi )=(R+rCos\theta )Cos\phi$ 
 $y(\theta ,\phi )=(R+rCos\theta )Sin\phi$ 
 $z(\theta ,\phi )=rSin\theta$

where $\theta$ , $\phi$ are angles which make a full circle, so that their values start and end at the same point.

@@ Line 9: / Line 9: @@
 *For example of TORUS are  rings, doughnuts, and bagels.
 *A torus can be defined parametrically by:
-<math>x(\theta,\phi)=(R+rCos\theta)Cos\phi</math>
+ <math>x(\theta,\phi)=(R+rCos\theta)Cos\phi</math>
-<math>y(\theta,\phi)=(R+rCos\theta)Sin\phi</math>
+ <math>y(\theta,\phi)=(R+rCos\theta)Sin\phi</math>
-<math>z(\theta,\phi)=r Sin\theta</math>
+ <math>z(\theta,\phi)=r Sin\theta</math>
 where
 <math>\theta</math>,<math>\phi</math> are angles which make a full circle, so that their values start and end at the same point.