Doodles and doilies, non-simple symmetric Venn diagrams

摘要

In this paper, we create and implement a method to construct a non-simple, symmetric 11-Venn diagram. By doing this we answer a question of Grubaum. Daniel Kleitman's mathematics seems to be remote from this area, but in fact, his results inspired this solution, which holds promise of settling the general case for all prime numbers, and the promise to find simple doilies with 11 and more curves as well.