A Symmetrical Beauty. A Non-simple \(7\)-Venn Diagram With A Minimum Vertex Set

Peter Hamburger1, Raymond E.Pippert1
1Department of Mathematical Sciences Indiana University Purdue University Fort Wayne Fort Wayne, Indiana 46805

Abstract

In this short note, using the method developed in [10] and [11], we construct a highly symmetrical, non-simple, attractive \(7\)-Venn diagram. This diagram has the minimum number of vertices, \(21\). The only similar two, published in [1] and [11], differ from ours in many ways. One of them was found by computer search [1]. Both of them are “necklace” type Venn diagrams (see [14] for definition), but ours is not.