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Maity, Dipendu
- 3-Isogonal Planar Tilings are not 3-Isogonal on the Torus
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Authors
Affiliations
1 Department of Science and Mathematics, Indian Institute of Information Technology Guwahati, Assam-781 015, IN
2 Department of Mathematics, Indian Institute of Technology Patna, Patna 801 106, IN
1 Department of Science and Mathematics, Indian Institute of Information Technology Guwahati, Assam-781 015, IN
2 Department of Mathematics, Indian Institute of Technology Patna, Patna 801 106, IN
Source
The Journal of the Indian Mathematical Society, Vol 90, No 3-4 (2023), Pagination: 375–386Abstract
A 3-isogonal tiling is an edge-to-edge tiling by regular polygons having 3 distinct transitivity classes of vertices. We know that there are sixty-one distinct 3-isogonal tilings on the plane. In this article, we discuss and determine the bounds of the vertex orbits of the plane’s 3-isogonal lattices on the torus and will show that these bounds are sharp.Keywords
Covering Maps, Isogonal Maps, Symmetric Group.
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