 95425 Conway John H., Radin Charles
 QUAQUAVERSAL TILINGS AND ROTATIONS
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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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