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by John H. Conway, Charles Radin
http://www.ma.utexas.edu/mp_arc/c/95/95-425.ps.gz
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Abstract:
We construct a hierarchical tiling of 3 dimensional Euclidean space based on a triangular prism, using repeated rotations, about orthogonal axes, by angles 2=m and 2=n. To analyze the structure of the tiling we are led to determine the group G(m;n) generated by such a pair of rotations, for m = n = 3 and for m = 3; n = 4.
Citations
| 139 | Uniform distribution of sequences – Kuipers, Niederreiter - 1974 |
| 30 | Extraordinary nonperiodic tiling that enriches the theory of tiles. Scienti c American – Gardner - 1977 |
| 1 | Matrix Groups, 2 nd ed – Curtis - 1984 |
