A Rose By Any Other Name...

Gregg Helt
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 445–448


Rhodonea curves, also known as rose curves, have intrigued mathematicians and artists alike since they were first described by Guido Grandi in the 18th century. In the late 20th century Maurer roses, closed polylines derived from rhodonea curves, were introduced. They are notable for the striking patterns they produce from a simple algorithm. Although Maurer roses have often been re-implemented, to date there is little published work on extending the concept since it was first described. In this paper we review previous work, then use that foundation to explore a number of extensions and generalizations of Maurer roses that we use to generate aesthetically pleasing forms.