 964 Charles Radin, Lorenzo Sadun
 SUBGROUPS OF SO(3) ASSOCIATED WITH TILINGS
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Jan 9, 96

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Abstract. We give a thorough analysis of those subgroups of $SO(3)$ generated by
rotations about perpendicular axes by $2\pi/p$ and $2\pi/q$. A
corollary is that such a group is the free product of the cyclic
groups of rotations about the separate axes if and only if $p,q\ge 3$
and are both odd. These groups are naturally associated with a family
of hierarchical tilings of Euclidean 3space.
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