Talk:Omnitruncated tesseract

Cartesian coordinate

The Cartesian coordinates of the vertices of an omnitruncated tesseract having an edge length of 2 are given by all permutations of coordinates and sign of:

$\left(1,\ 1+{\sqrt {2}},\ 1+2{\sqrt {2}},\ 1+3{\sqrt {2}}\right)$

I'll trust this is correct, but it doesn't seem clear to me. I could count 2^7*4!=128*24=3072 vertices by permuting coordinate axes and signs, which is apparently 8 times too large. So I assume ALL SIGNS doesn't include independent +/- on each term, but coordinate expressions as a whole. Tom Ruen (talk) 01:02, 13 December 2008 (UTC)

Yes, the +/- applies to each coordinate as a whole, not to each individual term. (I.e., 1-sqrt(2) is not among the valid permutations)—Tetracube (talk) 02:03, 13 December 2008 (UTC)

Perhaps "permutations of sign" could be rephrased with something like "reflections in the coordinate hyperplanes"? —Tamfang (talk) 21:31, 14 December 2008 (UTC)

redirect

You redirected it to itself? —Tamfang (talk) 05:32, 1 June 2012 (UTC)

Thanks for fixing it. I confused myself where I was by redirects! Tom Ruen (talk) 06:42, 2 June 2012 (UTC)