Quaquaversal tilings and rotations
- Cite this article as:
- Conway, J. & Radin, C. Invent math (1998) 132: 179. doi:10.1007/s002220050221
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.