Conway John H., Radin Charles
QUAQUAVERSAL TILINGS AND ROTATIONS
(129K, postscript)
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 $m=3,\
n=4$.