Introducing the Use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns

Stanley Spencer
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)
Pages 337–344 Regular papers


The patterns produced in this work use the basic geometry of the circle, regular polygon and similar triangles as studied in most schools. In an attempt to focus on the artistic application the mathematics will be stated and not explained in any great detail. This introduction describes the ideas and general approach. I aim to explore the symmetries of groups of polygons from an equilateral triangle up to the regular 36 sided polygon. The remainder of the paper illustrates some of the progress made to date with examples of the artwork. I have chosen a theme of early English Celtic Art as a style of decoration.