Polyhedra with Equilateral Heptagons

Marcel Tünnissen
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 433–436


Seven has a religious and cultural meaning in our society. For instance, seven is the number of days in a week, and in the art of music seven is the number of notes on a musical scale. The fact that seven is so interwoven in our society serves as an artistic source of inspiration for the polyhedra presented in this paper: they all contain equilateral heptagons. These are derived by truncating kites in polyhedra that appear in a method of morphing between pairs of dual regular polyhedra. Also presented are some paper models of these polyhedra.