Talk:1 42 polytope

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 Field: Geometry

three facets[edit]

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[edit]

(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)