The images shown above are based on tiling of the hyperbolic plane with equilateral triangles having angles not of 60

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 H

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© 1999 Edward L. Wright. Last modified 11-Oct-1999