Uniform Tilings with Hollow Tiles

Branko Grünbaum, J. C. P. Miller and G. C. Shephard
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Branko Grünbaum: University of Washington, Department of Mathematics
J. C. P. Miller: University of Cambridge, Department of Pure Mathematics and Mathematical Statistics
G. C. Shephard: University of East Anglia

A chapter in The Geometric Vein, 1981, pp 17-64 from Springer

Abstract: Abstract Tilings of the plane in which each tile is a closed topological disk, or some other simple kind of set, have been extensively studied from many points of view; see [18]. Of special interest are tilings whose tiles are regular polygons; there are many such tilings and they occur frequently in practical applications. In particular, the three regular tilings have been known since ancient times and the uniform (or Archimedean) tilings have been known since Kepler’s pioneering work in the seventeenth century [19].

Keywords: Regular Polygon; Regular Polyhedron; Polygonal Region; Coherent Orientation; Regular Convex (search for similar items in EconPapers)
Date: 1981
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DOI: 10.1007/978-1-4612-5648-9_3

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