Talk:Compound of three octahedra

A fact from Compound of three octahedra appeared on Wikipedia's Main Page in the Did you know column on 4 December 2011 (check views). The text of the entry was as follows:

Did you know... that the central chameleon cage in M. C. Escher's 1948 woodcut Stars has the shape of a compound of three octahedra (pictured)?

A record of the entry may be seen at Wikipedia:Recent additions/2011/December. The nomination discussion and review may be seen at Template:Did you know nominations/Compound of three octahedra.

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Polyhedra

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DYK nomination

Variations

It looks like the Escher form uses distorted (nonregular) octahedra, shortened square dipyramid polyhedra. This is or may be described under Compound of three octahedra#Symmetries, but there's no picture of this form (except Escher's art itself). I'm not sure what is best (since compound appearance is very different), but think this is confusing. Tom Ruen (talk) 03:47, 23 November 2011 (UTC)[reply]

I added a second image with this distorted form, not integrated into the article. Tom Ruen (talk) 04:00, 23 November 2011 (UTC)[reply]

That's used in other Escher images but not in Stars. It can also be viewed as a stellated rhombic dodecahedron, and is already discussed in the history section. —David Eppstein (talk) 04:25, 23 November 2011 (UTC)[reply]