2-isohedral triangulations |
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| Authors: | Kenneth Holladay |
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| Affiliation: | 1. Department of Mathematics, University of New Orleans, Lake Front, 70148, New Orleans, La., U.S.A.
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| Abstract: | A triangulations is 2-isohedral iff there are exactly two orbits of triangles under the triangulation's symmetry group. 2-isohedral triangulations are classified using incidence symbols. This also determines the homeomeric types of 2-isohedral triangulation. There are 38 types. The proof is by aggregation into isohedral tilings and by reflection axis splitting. |
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