Similarity Drawn Freehand

Teresa Downard
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 667–672 Workshop Papers


A workshop about drawing similar polygons freehand. The goal is to generalize the similarity constructions for rectangles found in art and design books (which require no measuring or special tools), to similarity constructions that will work for any polygon and any similarity transformation. What is known about similarity if the ability to measure is taken away? How can angles and relative lengths be preserved in polygons that undergo rotations, reflections, translations, and dilatations? While primarily of interest those who draw or illustrate, even people without drawing experience can explore the ideas in this workshop and use some drawing aids to produce the same results.