Difference between revisions of "Manuals/calci/TORUS"
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| − | <div style="font-size:30px">'''TORUS (Radius,TubeRadius,w1) '''</div><br/> | + | <div style="font-size:30px">'''TORUS (Radius,TubeRadius,w1)'''</div><br/> |
| + | where | ||
*<math>Radius</math> and <math>TubeRadius</math> are radius value of the circle. | *<math>Radius</math> and <math>TubeRadius</math> are radius value of the circle. | ||
| + | **TORUS() shows the Torus for the given value. | ||
==Description== | ==Description== | ||
| − | + | TORUS (Radius,TubeRadius,w1) | |
| − | + | *<math>Radius</math> is the radius value of the bigger circle. | |
*<math>TubeRadius</math> is the radius value of the smaller circle. | *<math>TubeRadius</math> 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. | *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. | *For example of TORUS are rings, doughnuts, and bagels. | ||
*A torus can be defined parametrically by: | *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 | 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. | <math>\theta</math>,<math>\phi</math> are angles which make a full circle, so that their values start and end at the same point. | ||
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==Examples== | ==Examples== | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|v=q6zvITS0hi0|280|center|Torus}} | ||
==See Also== | ==See Also== | ||
Latest revision as of 14:28, 4 March 2019
TORUS (Radius,TubeRadius,w1)
where
- and are radius value of the circle.
- TORUS() shows the Torus for the given value.
and 
are radius value of the circle.
Description
TORUS (Radius,TubeRadius,w1)
- is the radius value of the bigger circle.
- 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:
where , are angles which make a full circle, so that their values start and end at the same point.
,
are angles which make a full circle, so that their values start and end at the same point.
- is the distance from the center of the tube to the center of the torus.
- is the radius of the tube.
- is known as the "major radius" and is known as the "minor radius".
- The ratio R divided by r is known as the aspect ratio.
- The typical doughnut confectionery has an aspect ratio of about 3 to 2.
is the distance from the center of the tube to the center of the torus.
is the radius of the tube.Examples
Related Videos
See Also
References