| Thread Closed |
How to make curved line into torus? |
Share Thread | Thread Tools |
| Mar22-10, 03:02 PM | #1 |
|
|
How to make curved line into torus?
Greetings,
I am trying to figure out how to modify the equations for a trefoil knot to make it toroidal. A trefoil knot is: x = (2 + cos 3t)cos 2t y = (2 + cos 3t)sin 2t z = sin 3t A torus is: x(u, v) = (R + r cos v) cos u y(u, v) = (R + r cos v) sin u z(u,v) = r sin v where u, v are in the interval [0, 2π), R is the distance from the center of the tube to the center of the torus, r is the radius of the tube. Thanks |
| Apr9-10, 05:58 AM | #2 |
|
|
A comparison of the equations suggests that we set R=2, r=1 & (u,v) =(2t,3t).
|
| Thread Closed |
| Thread Tools | |
Similar Threads for: How to make curved line into torus?
|
||||
| Thread | Forum | Replies | ||
| Newton's Second law Curved line | Introductory Physics Homework | 0 | ||
| curved line w/o a plane | Differential Geometry | 14 | ||
| Form of line element of a torus. | General Math | 8 | ||
| line element on a torus | Special & General Relativity | 2 | ||
| curved line graph | General Math | 3 | ||