Talk:1 42 polytope

three facets

Prompted by a detail mentioned obliquely in the article, I spent a few minutes to see which of the "fork" polytopes have more than two kinds of element at some level, and found only 1_42 and those containing it (flat 1_52, hyperbolic 1_43 and 1_62) – not 2_16, 6_12, 3_14, 4_13, 2_23, 3_22, 2_111, 1_112, 1_1111. What d'ya know. —Tamfang (talk) 18:51, 1 July 2010 (UTC)

vertex coordinates

(3/4, 3/8, 3/8, 3/8, 3/8, 0, 0, 0)

(3/8, 3/8, 3/8, 3/8, 3/8, 3/8, 3/8, 3/8)

(9/16, 9/16, 9/16, 3/16, 3/16, 3/16, 3/16, 3/16)

(15/16, 3/16, 3/16, 3/16, 3/16, 3/16, 3/16, 3/16)

Why not multiply the above by 16/3?

( 4, 2, 2, 2, 2, 0, 0, 0)

( 2, 2, 2, 2, 2, 2, 2, 2)

( 3, 3, 3, 1, 1, 1, 1, 1)

( 5, 1, 1, 1, 1, 1, 1, 1)

—Tamfang (talk) 04:06, 16 July 2010 (UTC)

new table

Unfortunately the new table is so wide that, even if I maximize the window, the CDDs are broken (their column is too narrow). —Tamfang (talk) 20:30, 20 January 2018 (UTC)

Question on projection basis and overlap counts

I was wondering if we could get more information on the specific projection basis used for each image. I can reproduce many of the diagrams, but some that work for the ubiquitous E8 4_21 don't project to what User:Tomruen creates for E8 1_42. With so little documentation it is impossible to know who is correct.

Please ignore the fact that my labels don't always match Tom's (e.g. indices off by +/-1), focus on the basis vectors and overlap counts).

For a code snippet showing more of the detail see [[1]]. I can provide SVG's on that link, but bear in mind they are very large and unsuitable for WP.

Jgmoxness (talk) 14:57, 10 April 2018 (UTC)