Talk:Elongated square gyrobicupola

Why is it called a pseudorhombicuboctahedron? --116.14.72.74 (talk) 13:32, 22 July 2009 (UTC)

It has the same vertex figures and on quick inspection, you might think they are the same polyhedron. Tom Ruen (talk) 22:25, 22 July 2009 (UTC)

Yes, I couldn't tell the difference at first.

Solid versions:

Transparent versions:

Double sharp (talk) 07:54, 10 August 2009 (UTC)

The pseudorhombicuboctahedron has vertex figure 3.4.4.4 at all vertices, so shouldn't it be the fourteenth Archimedean solid? Professor M. Fiendish, Esq. 05:22, 2 September 2009 (UTC)

It's not a uniform polyhedron, but if you just look at vertex figures, it is unique in this regards, only Johnson solid with a fixed verf. Tom Ruen (talk) 06:19, 2 September 2009 (UTC)

Here's an explanation from George Hart. [1] Tom Ruen (talk) 06:27, 2 September 2009 (UTC)

Eh, what does the pseudo great rhombicuboctahedron look like? (Sorry, I don't have a VRML installed yet.) Professor M. Fiendish, Esq. 02:04, 3 September 2009 (UTC)

It's with the picture linking to WRL, [2], how do you describe it? Dihedral symmetry anyway. Tom Ruen (talk) 19:18, 3 September 2009 (UTC)

Some history (Kepler seems to have thought it was the 14th Archimedean) and alternative names ("Miller-Ashkinuze solid" etc.) at this reference: [3] -- AnonMoos (talk) 03:22, 26 February 2010 (UTC)

The image<br\> <br\>is an elongated square gyrobicupola but, unlike its solid version<br\> <br\>and its graphic explanation<br\> <br\>the octagonal prism is presented vertically (not horizontally) and the rotated square cupolae is on its side (not under the prism).<br\>Here I have proposed to rotate the image by 280º to make it look a bit more like the other two images presented in the article; that way the readers wouldn't have to twist their neck on one side to be able to compare the figure to the other two.<br\>If anybody had the code to generate the figure - the job could be done with better results.<br\>Also I think that it would be more intuitive if the rotated square cupolae was on the top of the octagonal prism, not under (?!).<br\>Thewarriltonsiegedoc (talk) 01:14, 18 April 2013 (UTC)

Okay, I tried rotating it. Tom Ruen (talk) 02:44, 18 April 2013 (UTC)