Exploring the mechanics of compositions. Artist Greg MacLaughlin

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Greg MacLaughlin
“carelessly mean”

Big thanks to #fouriestseries and #spring-of-mathmatics for the recent post and reblog on Reuleaux Polygons. This isn’t an odd-sided Reuleaux polygon of constant width, described so well here

http://fouriestseries.tumblr.com/post/100536473584/curves-of-constant-width-and-odd-sided-reuleaux-polygons

…but it did get me thinking about some geometry I’ve been curious about for some time and inspired me to do something with the concept. I had to do this one by hand, I am trying to sort out how generate the shape in Processing. The challenge is calculating the center points of the arcs that pass through the corners… it is straightforward I am sure but I can’t see the solution yet.