Affine Regular Pentagon Sculptures

Douglas G. Burkholder
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 151–152


In this paper we shall describe how to apply symmetric linear constructions to a random non-planar pentagon to construct mathematically and artistically interesting sculptures, such as in Figure A. This process will always produce a nested set of affine regular stellar pentagons. This generalizes a procedure created by Jesse Douglas.