Acronym | n/d,2n/d-dip | |||||||||||||||
Name | n/d-gram - 2n/d-gram duoprism | |||||||||||||||
Circumradius | sqrt[1/(4 sin2(π d/n))+1/(4 sin2(π d/2n))] | |||||||||||||||
Face vector | 2n2, 4n2, 2n2+3n, 3n | |||||||||||||||
Especially |
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Confer |
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External links |
Incidence matrix according to Dynkin symbol
x-n/d-o x-2n/d-o (n>2, d odd, n and d divisor free) . . . . | 2nn | 2 2 | 1 4 1 | 2 2 -----------------+-----+---------+----------+----- x . . . | 2 | 2nn * | 1 2 0 | 2 1 . . x . | 2 | * 2nn | 0 2 1 | 1 2 -----------------+-----+---------+----------+----- x-n/d-o . . | n | n 0 | 2n * * | 2 0 x . x . | 4 | 2 2 | * 2nn * | 1 1 . . x-2n/d-o | 2n | 0 2n | * * n | 0 2 -----------------+-----+---------+----------+----- x-n/d-o x . ♦ 2n | 2n n | 2 n 0 | 2n * x . x-2n/d-o ♦ 4n | 2n 4n | 0 2n 2 | * n
x-n/d-o x-n/d-x (n>2, d odd, gcd(n,d)=1) . . . . | 2nn | 2 1 1 | 1 2 2 1 | 1 1 2 ----------------+-----+-----------+------------+------ x . . . | 2 | 2nn * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * nn * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * nn | 0 0 2 1 | 0 1 2 ----------------+-----+-----------+------------+------ x-n/d-o . . | n | n 0 0 | 2n * * * | 1 1 0 x . x . | 4 | 2 2 0 | * nn * * | 1 0 1 x . . x | 4 | 2 0 2 | * * nn * | 0 1 1 . . x-n/d-x | 2n | 0 n n | * * * n | 0 0 2 ----------------+-----+-----------+------------+------ x-n/d-o x . ♦ 2n | 2n n 0 | 2 n 0 0 | n * * x-n/d-o . x ♦ 2n | 2n 0 n | 2 0 n 0 | * n * x . x-n/d-x ♦ 4n | 2n 2n 2n | 0 n n 2 | * * n
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