Breakthrough In Drawing Complex Venn Diagrams: Goes to 11
00_NOP writes "Venn diagrams are all the rage in this election year, but drawing comprehensible diagrams for anything more than 3 sets has proved to be very difficult. Until the breakthrough just announced by Khalegh Mamakani and Frank Ruskey of the University of Victoria in Canada, nobody had managed to draw a simple (no more than two lines crossing), symmetric Venn diagram for more than 7 sets (only primes will work). Now they have pushed that on to 11. And it's pretty too."
In 1989 Anthony Edwards figured out how to make Venn diagrams of arbitrary size: http://www.qandr.org/quentin/software/venn
"Dr Edwards came up with an ingenious solution based on segmenting the surface of a sphere, beginning with the equator and the 0 and the +/- 90-degree meridians. It can be extended to an arbitrary number of sets by creating wobbly lines that cross the equator - starting with the pattern of stitching found on a tennis ball. You can unwrap the sphere back onto a plane and the sets still work."