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Stellated octahedron (or compound of two tetrahedra). How to make pdf template

Stellated octahedron

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A red pyramid passed through a white pyramid or vice versa. Or maybe it is a complex of pyramids directed in different directions. These figures are always a mystery.

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The presented image of this polyhedron illustrates exactly its second name - the compound of two tetrahedra. Here you can imagine a red tetrahedron pointing up through a beige tetrahedron that points down.

However, mathematicians prefer to call the polyhedron a stellated octahedron.

The stellated octahedron could be defined as a regular polyhedron since all its faces are regular triangles of the same size and all angles between them are equal.

But in fact, this geometric solid is not the sixth regular polyhedron on par with the five known Platonic solids. The reason is that the word convex is present in the definition of a regular polyhedron—that is, all faces must lie on one side of the plane passing through any of them.


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