Illuminations: Covering the Plane with Rep‑Tiles

Students discover and explore a special kind of tiling of the plane.

Rep‑tiles are geometric figures such that n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of n. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved. This lesson was adapted from an article by Linda Fosnaugh and Marvin Harrell, which appeared in the January‑February 1996 edition of Mathematics Teaching in the Middle School.

 

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Geometry
Middle School, Educator

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