I feel like Leonhard Euler would have something to say about thishttps://twitter.com/2DArray/status/1194702524638355456 …
I created the Antimemetics Division. http://scp-wiki.wikidot.com/antimemetics-division-hub …
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quarantine 'em Retweeted 2DArray
I feel like Leonhard Euler would have something to say about thishttps://twitter.com/2DArray/status/1194702524638355456 …
quarantine 'em added,
For a convex polyhedral model, vertices + faces = edges + 2 Every face is a triangle (3 edges) but every edge is shared by two faces, so edges = faces * 3 / 2 So the original identity simplifies to vertices = faces / 2 + 2 So, every new vertex increases the triangle count by 2
Out of curiosity, what classes of non-convex polyhedron does this not apply to? I assume just having a concave or region on the surface isn't enough - does a hole (e.g. a toroid) do it?
I'll just link you to the Wikipedia article and let that fill you in https://en.wikipedia.org/wiki/Euler_characteristic …
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