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/sci/ - Science & Math

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14792331 No.14792331 [Reply] [Original]

does a rotationally symetric 6 set venn diagram design exist? i keep on seeing pics of 5 and 7 set venn diagrams that are pretty and symmetrical but never 6 set ones. can someone smarter than me and with more time see if you can make one?

>> No.14792599
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14792599

I tried modifying a 5 set venn diagram like this - the area around the outside is a yellow region, you can make it a circle if you wish. I did this on my phone sorry it's messy, I can try doing it properly on my computer but I don't see why this method won't produce a valid venn diagram.

>> No.14793568

>>14792331
I think if you delete one set from that 7-set Venn diagram, you would get a 6-set symmetric diagram. However, you might get enclaves (e.g. two AB regions which are disconnected), and the shapes would be slightly unnecessarily complex.

>> No.14796171
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14796171

Interesting question, I can't get my head around why it doesn't seem possible. I came across this, which looked promising until actually inspecting the shapes.

>> No.14796354

>>14792331
>>14796171
do you also impose the requirement that each of the 6 shapes can't have a hole in it (like the yellow region in >>14792599 )?

>> No.14797505

Found this paper: https://webhome.cs.uvic.ca/~ruskey/Publications/SixVenn/SixVenn.html
I get the impression it's not possible for reasons that are trivial to people that actually know what they're talking about.

>> No.14797510

>>14792331
no

think about hexagons tiling a plane and it should be clear why

>> No.14797587

>>14797510
The fuck does that have to do with it?

>> No.14800390

>>14792331
NO.
that is an amoeba orgy.
For graphing complex relationships, humans use interconnected lattices.

>> No.14800538

>>14797587
The hexagons, they tile the plane

>> No.14801463
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14801463

>> No.14802292

>>14801463
> no orange + magenta

>> No.14802309
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14802309

>>14800538
Yeah but does it have what planes crave?