THE ELECTRONIC JOURNAL OF COMBINATORICS (ed. June 2005), DS #5. |

Venn Diagrams from Polyominoes for 6 and 7 Sets

Shown below is a 6-Venn diagram formed entirely from curves drawn from axis-aligned edges. It is a minimum-area diagram; that is, each region is composed of a single square of unit area. Note that many edges overlap, so the diagram is infinitely intersecting. As with many other diagrams in these pages, regions are coloured by weight. The diagrams on this page are from [CR05].

The six component curves of the diagram, overlaid on a grayed-out version of the entire diagram:

This is a 7-Venn diagram formed entirely from curves drawn from axis-aligned edges. Like the above it is minimum-area and infinitely intersecting.

The seven component curves:

THE ELECTRONIC JOURNAL OF COMBINATORICS (ed. June 2005), DS #5. |