I present here a simple program realizing 3D scenes. It uses ray-tracing method. It was used to generate animations of two surfaces, spanned on some curves. In both cases, when the surface is moving it contains all points in 3D space (plus infinity), each exactly once (excluding the boundary, which is on each surface). The first surface is spanned on two circles and has some connections with Hopf fibration (points of one colour on one surface are arranged in circle, all circles are disjoint and every point of S^3 is on some circle). The second surface is spanned on the trefoil knot.
| Filename | Size | Date | Description |
| hopf3.avi | 345 kB | 06-04-2007 17:30 | An animation of a surface spanned on a trefoil knot. |
| hopf_3.cpp | 14 kB | 16-03-2007 20:39 | A program generating it. |
| hopf3.zip | 851 kB | 06-04-2007 17:32 | An animation of a surface spanned on a trefoil knot - as a bundle of JPEG files. |
| hopf.avi | 344 kB | 06-04-2007 17:32 | An animation for the Hopf fibration (a surface spanned on two circles). |
| hopf.cpp | 13 kB | 05-03-2007 18:53 | A program generating it. |
| hopf.zip | 837 kB | 06-03-2007 11:15 | An animation for the Hopf fibration (a surface spanned on two circles) - as a bundle of JPEG files. |
| rt.cpp | 7 kB | 02-03-2007 22:37 | Simple ray-tracer (without part generating the above surfaces). |
| scena.jpeg.zip | 46 kB | 06-04-2007 17:34 | Sample scene realized by the program. |
Licznik: 1175