Covering the Plane with Polygons
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Combine polygons to find out how many sides they must have to cover the plane without overlapping or gaps. As an exercise, derive the condition needed for the angles.
Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA
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"Covering the Plane with Polygons"
http://demonstrations.wolfram.com/CoveringThePlaneWithPolygons/
Wolfram Demonstrations Project
Published: March 7 2011