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Convex Hexagon Tessellations

Author:
Michael Borcherds
Topic:
Plane Figures or Shapes, Polygons
In 1918, K. Reinhardt (Über die Zerlegung der Ebene in Polygone, Inaugural-Disstertation, Univ. Frankfurt a.M., R. Noske, Borna and Leipzig) showed that there are only three types of convex hexagons which can be the tile in a monohedral (one-tile) tessellation
This applet shows a small portion of the Type 1, 2, and 3 tessellations, and allow you to change the angles and sides of the base hexagon.

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