Talk:5-demicubic honeycomb

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 Field: Geometry

alt.runci.[edit]

Did you mean CDel nodes 10ru.pngCDel split2.pngCDel node.pngCDel 3.pngCDel node.pngCDel split1.pngCDel nodes 01.png ? —Tamfang (talk) 00:31, 3 July 2012 (UTC)

Thanks for the look, but nope. I guess it is because there's just one alternation, not two. CDel node 1.pngCDel 4.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.png is an expanded 5-cube honeycomb, so geometrically identical to the 5-cubic honeycomb and so its alternation also 5-demicube honeycomb, but a lower symmetry with alternated colors on the 5-demicube facets. This pattern is true for 5D and up, but a bit different for 4D, like the Alternated cubic honeycomb because D~3=A~3. Tom Ruen (talk) 03:38, 3 July 2012 (UTC)
Update: I wasn't quite right - the expanded alternation is only isomorphic for D~3, but has more n-demicube colorings for higher dimensions. Tom Ruen (talk) 00:23, 4 July 2012 (UTC)