Monotone Symmetric Venn diagrams
without polar symmetry
There are (at least) 17 of them, which we call M1-M17.
These are believed to be all of them.
Those numbered M12-M17 show Tutte embeddings of the diagrams.
-
M1.
This one has the zig-zag middle-two-levels and the rather nice property
that each curve interects the others exactly 6 times. It was
discovered by Carla Savage and Peter Winkler.
-
M2.
This one was discovered by Branko Grünbaum (Figure 6 of
[Br92b]).
- M3
- M4
- M5
- M7
- M8
- M9
- M10
- M11
- M12
- M13
- M14
- M15
- M16
- M17
The numbers above are simply the order in which our program
found them.
We have seen none of these published before, except for M1 and M2.