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Dihedral tilings of the sphere by regular polygons and quadrilaterals I: squares and rhombi

© 2025 by the author(s). Learn more.

Published Web Location

https://doi.org/10.5070/C65365567
Creative Commons 'BY' version 4.0 license
Abstract

We classify the edge-to-edge dihedral tilings of the sphere by squares and rhombi and develop a method that can be applied to future problems.

Mathematics Subject Classifications: 05B45, 52C20, 51M10, 51M20, 52B10

Keywords: Classification, spherical tilings, dihedral tilings, quadrangulations, division of spaces


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