Hinged Tilings

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Alfinio Flores

Abstract

We present interactive dynamical tilings formed by rigid regular polygons that are hinged to each other leaving polygonal empty spaces to allow for rotations. As one of the hinged tiles is rotated, the other tiles rotate too and the global shape of the tiling is changed. Examples include using tilings made of squares; hexagons and triangles; squares of two sizes; hexagons; octagons and squares; triangles; and three tilings where the polygons are joined by hinged rigid rods.

 

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Author Biography

Alfinio Flores, University of Delaware

Professor of Mathematics Education, Department of Mathematical Sciences