Talk:Tetrahemihexahedron

message: This page doesn't display properly under IE 6, the graphics box completely obscures the main text.  —Preceding unsigned comment added by 208.68.244.251 (talk) 23:53, 1 April 2008 (UTC)
replies: text: Viewing the HTML page source in my browser options, the graphic box is standards-compliant HTML table markup, set to right-align. I know that IE6 is obsolescent and not standards-compliant, but I wouldn't expect it to be that bad. Check around. Maybe IE6 really is that bad by modern standards, or you need to reinstall. (I use Firefox and it's just fine). Sorry I can't help more. -- Steelpillow (talk) 17:50, 2 April 2008 (UTC)
thread_title: layout bug

message: I don't see anything wrong with my edit. My open-link edits like this were done over about 30 articles, getting started linking some common terminology, still useful even without linked-article yet. I purposely removed the vertex/edge counts since it includes ALL of them, left the face info since only half of triangle are shared. Tom Ruen 21:07, 11 May 2007 (UTC)
replies: text: I added back element counts, moved to first paragraph, and empty link to edge arrangement. Tom Ruen 21:13, 11 May 2007 (UTC)
replies: text: OK with the broken links for now. It also has the same vertex arrangement as the octahedron, so I have added that in to replace the bit you deleted. -- Steelpillow 09:05, 12 May 2007 (UTC)
thread_title:  Edge arrangement 

message: It looks nice, but I don't quite see where the square faces are. --Johanneskepler (talk) 03:00, 10 August 2009 (UTC)
replies: text: The squares intersect right through the center of the model. Tom Ruen (talk) 06:08, 10 August 2009 (UTC)

text: In the rod-and-ball image, the squares are yellow. You can only see half of a given square at a time. -- Cheers, Steelpillow (Talk) 20:13, 10 August 2009 (UTC)
replies: text:  Two quarters, that is. —Tamfang (talk) 06:36, 11 August 2009 (UTC)
thread_title:  Wow! 

message: This article claimed that the tetrahemihexahedron was the three-dimensional “demicross” polytope. I’ve commented out that claim, since I can’t find any other source replicating it, which violates WP:OR. However, it’s interesting to try to interpret that claim. Here’s my guess, which will hopefully inspire someone else to look into the matter further (and possibly even create a citation for that claim?)
By the same reason an n-hypercube’s vertices can be 2-colored, any n-hyperoctahedron’s facets can too. Furthermore, if we remove any two opposite vertices from an n-hyperoctahedron, we get an (n − 1)-hyperoctahedron’s vertices.  We can then create an n-polytope with these two sets of (n − 1)-polytopes. I believe that this is what a demicross polytope is supposed to be.
Under this assumption, the demicross 2-polytope would be a crossed quadrilateral with the vertices of a square, and the demicross 3-polytope would effectively be the tetrahemihexahedron. The demicross 4-polytope would consist of 8 tetrahedra and 4 octahedra (and would in fact correspond to what Bowers has dubbed the tesseracthemioctachoron. The demicross 5-polytope would consist of 16 5-cells and 5 16-cells (and correspond to Bowers’ hexadecahemidecateron. And so on.
Seems like an interesting family, it’s a shame that uniform polytopes are still such an obscure field of study. OfficialURL (talk) 06:21, 30 March 2020 (UTC)
replies: text: This is one of George Olshevsky's terms. Doesn't seem to have gotten any uptake, so I agree that it should be left out. But yes, this is an infinite family that is uniform if the number of dimensions is at least 3 (and is in fact semiregular). The vertex figure is the demicross polytope of one less dimension, which is uniform if we're already in 4D or above, so we can truncate and rectify such polytopes in 4D and up and still get uniform polytopes. Double sharp (talk) 03:13, 31 March 2020 (UTC)
replies: text:  What a shame. There've been so many kinds of polytopes and properties thereof discovered during the last decade, and it's just unfortunate that none have yet been published. – OfficialURL (talk) 03:49, 31 March 2020 (UTC)
thread_title:  “Demicross” polytope