Document Type
Technical Report
Publication Date
3-1-2012
Technical Report Number
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.
Dartmouth Digital Commons Citation
McIlroy, M. Douglas, "Wallpaper Maps" (2012). Computer Science Technical Report TR2012-712. https://digitalcommons.dartmouth.edu/cs_tr/353
Wallpaper-Maps-1.pdf (5132 kB)
Comments
This paper was written in 2012 and revised in 2021. The original version is available below under "Additional Files."