Faces: 48
Outside vertices: 12
Other vertices: 14 (I believe)
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Parcly Taxel
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Ethan Chapman
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Am I seeing the shape correctly to think that this is essentially three $8$-sided dice merged? – abiessu Dec 08 '17 at 14:41
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@abiessu I thought so, but apparently not. Well, not regular ones, at least. – Arthur Dec 08 '17 at 14:46
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@Arthur: ah, so close. At least I can say I was in the ballpark... – abiessu Dec 08 '17 at 14:50
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And if anyone wanted to know, and didn't already, this is a common wooden star puzzle. (Amazon link just because all the others I found had spoilers on how to solve it...) – JPhi1618 Dec 08 '17 at 16:24
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See this video for examples of puzzles based on this figure, tessellations of the star, and folding a cube into two stars! https://www.youtube.com/watch?v=gWgXlvIlpzM – Mario Carneiro Dec 10 '17 at 01:52
1 Answers
28
The object is the first stellation of the rhombic dodecahedron.
This is sometimes known as Escher's solid, for its use in a study for his Stars, though the final picture uses a compound of three regular octahedra rather than the squashed ones of this question's solid.
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