I feel like Leonhard Euler would have something to say about thishttps://twitter.com/2DArray/status/1194702524638355456 …
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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
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...unless Pokémon Sword and Shield's models have wacky Euler characteristics like the great stellated dodecahedron shown below. In which case, fair comment, an unwise move by the developerspic.twitter.com/zlIwycaJwO
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Exagoo: Mathematics-type Pokémon, a living hexaflexagon with a different beastly visage on each of its six faces
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Ottlekline is the first non-orientable Pokémon! Watch out for its nasty inversion attacks - you are arguably already inside of it
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Flasket is the first Pokémon with an infinite number of evolutions, it starts as a blobby tetrahedron but then smaller tetrahedral pieces are added and removed recursively, making for a progressively more complex fractal body plan. It likes sunbathing
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Legendary Mathematics-type Pokémon Oominus is apparently a flat perfectly black, frictionless plane of infinite extent. We have only ever seen one side of it
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What? Your Tarskifang is evolving! It evolved into two identical Tarskifangs!
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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?
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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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