Quaquaversal tilings and rotations |
| |
| Authors: | John H. Conway Charles Radin |
| |
| Affiliation: | (1) Department of Mathematics, Princeton University, Princeton, NJ 08544, USA, US;(2) Department of Mathematics, University of Texas, Austin, TX 78712, USA, US |
| |
| Abstract: | We construct a hierarchical tiling of 3 dimensional Euclidean space based on a triangular prism, using repeated rotations, about orthogonal axes, by angles 2π/m and 2π/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. Oblatum X-1995 & 14-V-1997 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
