Acronym | 12,n-dip |
Name | dodecagon - n-gon duoprism |
Circumradius | sqrt[2+sqrt(3)+1/(4 sin2(π/n))] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Face vector | 12n, 24n, 13n+12, n+12 |
Especially | titwadip (n=3) sitwadip (n=4) hitwadip (n=6) otwadip (n=8) twaddip (n=12) |
Confer | |
External links |
Incidence matrix according to Dynkin symbol
x12o xno (n>2) . . . . | 12n | 2 2 | 1 4 1 | 2 2 ---------+-----+---------+----------+----- x . . . | 2 | 12n * | 1 2 0 | 2 1 . . x . | 2 | * 12n | 0 2 1 | 1 2 ---------+-----+---------+----------+----- x12o . . | 12 | 12 0 | n * * | 2 0 x . x . | 4 | 2 2 | * 12n * | 1 1 . . xno | n | 0 n | * * 12 | 0 2 ---------+-----+---------+----------+----- x12o x . ♦ 24 | 24 12 | 2 12 0 | n * x . xno ♦ 2n | n 2m | 0 n 2 | * 12
x6x xno (n>2) . . . . | 12n | 1 1 2 | 1 2 2 1 | 2 1 1 --------+-----+-----------+------------+------ x . . . | 2 | 6n * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 6n * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 12n | 0 1 1 1 | 1 1 1 --------+-----+-----------+------------+------ x6x . . | 12 | 6 6 0 | n * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 6n * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 6n * | 1 0 1 . . xno | n | 0 0 n | * * * 12 | 0 1 1 --------+-----+-----------+------------+------ x6x x . ♦ 24 | 12 12 12 | 2 6 6 0 | n * * x . xno ♦ 2n | n 0 2n | 0 n 0 2 | * 6 * . x xno ♦ 2n | 0 n 2n | 0 0 n 2 | * * 6
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