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 | Octahedron |
- Vertex description: 3.3.3.3
- Faces: 8
- Edges: 12
- Vertices: 6
- Dual: Cube
- Stellations:
- Fully supported: 2 (2 reflexible, 0 chiral)
- Miller's rules: 2 (2 reflexible, 0 chiral)
One of the five regular convex polyhedra known as the Platonic solids.
This model was made from a single connected net, printed on one sheet of A4
paper. Nets can be generated and printed at any size using any of
Small Stella,
Great Stella,
or
Stella4D,
even in the free demo versions.
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Here's an octahedron in Stella, using a 3-view layout featuring the
octahedron itself, the unfolded net, and a partially folded net.
See more screenshots here.
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Here is a compound of the
octahedron with its dual.
Notice how the cube's vertices sit above the octahedron's faces, and
vice versa? Also the edges of the two polyhedra bisect each other at
right-angles.
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Multiple octahedra can be arranged in an intersecting manner to form
various compounds. Here is the best known one consisting
of 5 intersecting octahedra. It is also a
faceting of the
icosidodecahedron and a stellation
of the icosahedron.
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The octahedron has just one
stellation.
This is also a faceting of the cube and a
compound of two tetrahedra.
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