Quaquaversal Tilings and Rotations
نویسنده
چکیده
We construct a hierarchical tiling of 3 dimensional Euclidean space based on a triangular prism, using repeated rotations, about orthogonal axes, by angles 2=m and 2=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.
منابع مشابه
Subgroups of SO 3 Associated with Tilings
Ž . We analyze certain subgroups of SO 3 motivated by polyhedral tilings of Euclidean 3-space. The tilings are made by a general iterative procedure and consist of congruent copies of some finite set of polyhedra. Our interest here is in the relative orientations of the polyhedra in such a tiling. An example called ‘‘quaquaversal’’ tilings, consisting of congruent copies w x Ž . of a single tri...
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