Correction to title: Drawing Proportional-Intersection Venn Diagrams This seems to be only for two circles. I was hoping for an algorithm for drawing any Ven

Correction to title: Drawing Proportional-Intersection Venn Diagrams This seems to be only for two circles. I was hoping for an algorithm for drawing any Venn Diagram. Here's n=7 https://78.media.tumblr.com/tumblr_m74i4eR9Ym1qa0uujo1_1280.jpg https://78.media.tumblr.com/tumblr_m74i4eR9Ym1qa0uujo1_1280.... Might not be the most efficient way to get proportionality, but it would seem that making the set boundaries elastic and putting a proportional amount of non-overlapping particles within the corresponding regions may draw a 'good enough' picture. Sort of like in the type of graph layout algorithm https://youtu.be/_Oidv5M-fuw https://youtu.be/_Oidv5M-fuw I find this kind of physical approach to 'optimization' entertaining. With quotes because it need not converge/terminate. In the book "The Mathematical Mechanic" by Levi, there's even more examples like a physical model for solving an optimal location problem in 2D (minimize sum of distance from a source to fixed locations, choosing where to place the source) by setting up weights connected by strings to a ring denoting the optimal location of the source. It also claims to prove the Pythagorean theorem by a prism-shaped water tank construction.