Creating Two and Three Dimensional Fractals from the Nets of the Platonic Solids

Stanley Spencer
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 25–32 Regular Papers


Regular polygons can be used to construct a number of solids. A large number of examples can be found at [3]. The pictures and models described in this paper start from the nets of solids that are constructed from regular polygons. The introduction considers, generally, a range of solid types that were used to create fractals in two and three dimensions. The resulting fractals have been used as a framework for displaying pictures. The body of this paper is limited to a discussion of the Platonic Solids. Whilst much progress has been made with other regular solids they will need to be the subject of a separate paper.