The Problem of the Calissons

1989/05/01 by Guy David, Carlos Tomei · 4 citations
Mathematics · #Mathematics and Applications

paper · doi:10.1080/00029890.1989.11972212

Abstract

A calisson is a French sweet that looks like two equilateral triangles meeting along an edge. Calissons could come in a box shaped like a regular hexagon, and their packing would suggest an interesting combinatorial problem. Suppose a box with side of length n is filled with sweets of sides of length 1. The long diagonal of each calisson in the box is parallel to one of three different lines, as in the picture.

Cited by

• Lozenge tilings of doubly-intruded hexagons
• Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus in the centre
• On the connectivity of spaces of three-dimensional tilings
• Symmetry-directed complex tessellation of irregular polygons from a single molecular precursor. [europepmc]

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