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What's this math concept visualized in this math poster including Euclid?

enter image description here

It looks similar to what I've seen in algebra regarding groups and their visualization, but aren't groups much more modern concept?

mavavilj
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  • I found this on one of the websites as a comment by someone (https://io9.gizmodo.com/fetching-minimalist-prints-honor-mathematicians-and-the-493104850) -- image from Euclid's poster would better suit Euler. The image is of a graph, which is an area of mathematics that Euler helped pioneer. – geeky me Nov 25 '17 at 09:37
  • @geekyme Graph of what? – mavavilj Nov 25 '17 at 09:44
  • This Wolfram page though gives examples of exactly the kind of visualization that I've seen in algebra and group theory: https://www.wolframalpha.com/examples/GraphTheory.html – mavavilj Nov 25 '17 at 09:45
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    Looks like one of these projections of a regular polygon onto the plane. Not my area at all, but from a superficial search I could find such an image here. I’m pretty sure that this has nothing to do with Euclid. – k.stm Nov 25 '17 at 09:50
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    You could always ask the artist, Hydrogene. – Blue Nov 25 '17 at 10:06
  • @k.stm Yea it looks like the https://en.wikipedia.org/wiki/1_22_polytope#/media/File:Up_1_22_t0_E6.svg. – mavavilj Nov 25 '17 at 10:12

2 Answers2

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It's a six dimensional polytope called the $1_{22}$ polytope. Probably discovered somewhat after Euclid's time.

https://en.wikipedia.org/wiki/1_22_polytope

(This has been pointed out twice in the comments. Posting this to get this question out of the unanswered category.)

brainjam
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It's a regular dodecagon (12-sided polygon), together with all its diagonals except (for some reason) those that go through the centre. The whole diagram can be constructed using classical means.

Rosie F
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