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Wallpaper Maps
M. Douglas McIlroy
Dartmouth TR2012-712

Abstract: A wallpaper map is a conformal projection of a spherical earth onto regular polygons with which the plane can be tiled continuously. A complete set of distinct wallpaper maps that satisfy certain natural symmetry conditions is derived and illustrated. Though all of the projections have been published before, the family had not been characterized as a whole. Some wallpaper maps generalize to one-parameter subfamilies in which the sphere is pre-transformed by a conformal automorphism.


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   M. Douglas McIlroy, "Wallpaper Maps." Dartmouth Computer Science Technical Report TR2012-712, March 2012.


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