Cosmology and Art

Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.sao.ru/cats/~satr/cosmo/cosmo_art.html
Дата изменения: Mon Oct 16 23:48:11 2000
Дата индексирования: Tue Oct 2 01:54:07 2012
Кодировка:
Поисковые слова: http astrokuban.info astrokuban

Cosmology and Art

The images shown above are based on tiling of the hyperbolic plane with equilateral triangles having angles not of 60^o but rather 360/7 degrees, so 7 such triangles fit around a point.

The image on the left shows the triangles and circles drawn from the vertices that each touch 7 other points. On the right, the pattern formed by these circles has been filled with blue and gold. When this image was made, the 7 fold symmetry was appropriate to mark the 7 straight victories of UCLA over USC in football, but that streak has now grown to 8 straight wins. This filled image is shown at larger scale below:

These images are of course very similar to works by M. C. Escher. This kind of tiling the hyperbolic plane is similar to the 3-D tilings of H³ described in the April 1999 Scientific American by Luminet, Starkman and Weeks.

Ned Wright's Home Page