Acronym | 8,n-dip |
Name | octagon - n-gonal duoprism |
Circumradius | sqrt[(2+sqrt(2))/2+1/(4 sin2(π/n))] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Face vector | 8n, 16n, 9n+8, n+8 |
Especially | todip (n=3) sodip (n=4) podip (n=5) hodip (n=6) odip (n=8) odedip (n=10) otwadip (n=12) |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x8o xno (n>2) . . . . | 8n | 2 2 | 1 4 1 | 2 2 --------+----+-------+--------+---- x . . . | 2 | 8n * | 1 2 0 | 2 1 . . x . | 2 | * 8n | 0 2 1 | 1 2 --------+----+-------+--------+---- x8o . . | 8 | 8 0 | n * * | 2 0 x . x . | 4 | 2 2 | * 8n * | 1 1 . . xno | n | 0 n | * * 8 | 0 2 --------+----+-------+--------+---- x8o x . ♦ 16 | 16 8 | 2 8 0 | n * x . xno ♦ 2n | n 2n | 0 n 2 | * 8
x4x xno (n>2) . . . . | 8n | 1 1 2 | 1 2 2 1 | 2 1 1 --------+----+----------+-----------+------ x . . . | 2 | 4n * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 4n * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 8n | 0 1 1 1 | 1 1 1 --------+----+----------+-----------+------ x4x . . | 8 | 4 4 0 | n * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 4n * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 4n * | 1 0 1 . . xno | n | 0 0 n | * * * 8 | 0 1 1 --------+----+----------+-----------+------ x4x x . ♦ 16 | 8 8 8 | 2 4 4 0 | n * * x . xno ♦ 2n | n 0 2n | 0 n 0 2 | * 4 * . x xno ♦ 2n | 0 n 2n | 0 0 n 2 | * * 4
x4x sns (n>2) . . demi( . . ) | 8n | 1 1 2 | 1 2 2 1 | 2 1 1 ----------------+----+----------+-----------+------ x . demi( . . ) | 2 | 4n * * | 1 2 0 0 | 2 1 0 . x demi( . . ) | 2 | * 4n * | 1 0 2 0 | 2 0 1 . . sefa( sns ) | 2 | * * 8n | 0 1 1 1 | 1 1 1 ----------------+----+----------+-----------+------ x4x demi( . . ) | 8 | 4 4 0 | n * * * | 2 0 0 x . sefa( sns ) | 4 | 2 0 2 | * 4n * * | 1 1 0 . x sefa( sns ) | 4 | 0 2 2 | * * 4n * | 1 0 1 . . sns ♦ n | 0 0 n | * * * 8 | 0 1 1 ----------------+----+----------+-----------+------ x4x sefa( sns ) ♦ 16 | 8 8 8 | 2 4 4 0 | n * * x . sns ♦ 2n | n 0 2n | 0 n 0 2 | * 4 * . x sns ♦ 2n | 0 n 2n | 0 0 n 2 | * * 4
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