Joshua York

  1. Polygons that Generate an Edge Tessellation of the Plane.

    Authors: Andrew Hall, Matthew Kirby, Joshua York, Ron Umble
    Subjects: Geometric Topology
    Abstract

    An edge tessellation of the plane is generated by the reflection of some
    polygon in its edges. We prove that a polygon generating an edge tessellation
    is exactly one of the following: An equilateral, 30-right, isoceles right, or
    120-isoceles triangle, a rectangle, a 60-rhombus, a 60-90-120-kite, or a
    regular hexagon.

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