A locally regular heptagon–dodecahedron embedded in 3-space |
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Authors: | Jrg M Wills |
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Institution: | aMathematisches Institut, Universität Siegen, D-57068 Siegen, Germany |
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Abstract: | We construct a polyhedral 2-manifold of genus 2 embedded in Euclidean 3-space, and hence oriented, built up of 12 planar (but nonconvex) heptagons, three meeting at each vertex, i.e., locally regular or equivelar. The polyhedron is face-minimal among all equivelar polyhedra of genus g≥2.It has a threefold symmetry axis and exists in two chiral versions. |
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