95-425 Conway John H., Radin Charles

QUAQUAVERSAL TILINGS AND ROTATIONS (129K, postscript) Sep 14, 95

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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 $2\pi/m$ and $2\pi/n$. 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 $m=3,\ n=4$.

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