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Catalog of Isohedral Tilings by Symmetric Polygonal Tiles

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Author:Doris Schattschneider
Description: A collection of Sketchpad and JavaSketchpad files supplementing the article "One Corona is Enough for the Euclidean Plane" by mathematicians Doris Schattschneider and Nikolai Dolbilin. Tilings of the Euclidean plane by a single polygon are considered, and it is shown that such a tiling is isohedral if and only if each polygon is "surrounded in the same way," or, more technically, the centered coronas of tiles are pairwise congruent.

Levels: Middle School (6-8), High School (9-12), College, Research
Languages: English
Resource Types: Articles, Geometer's Sketchpad, Web Interactive/Java
Math Topics: Symmetry/Tessellations

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