Symmetry Patterns from Multiple Identically Patterned Cubes
David A. Reimann

Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages 431–432
Short Papers

Abstract

The six faces of a cube can be patterned with copies of a simple motif and its mirror image so that all seven frieze patterns and twelve of the seventeen wallpaper patterns can be produced using a set of patterned cubes. This is illustrated using a twenty copies of a cube patterned with a footprint motif. Compared with a set of tiles of multiple types, a set of such identical cubes simplifies the construction process since there is only one type of manipulative.

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