Acronym | odedip |
Name | octagon-decagon duoprism |
Circumradius | sqrt[(5+sqrt(2)+sqrt(5))/2] = 2.079697 |
Volume | 5[1+sqrt(2)] sqrt[5+2 sqrt(5)] = 37.150927 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 80, 160, 98, 18 |
Confer | |
External links |
Incidence matrix according to Dynkin symbol
x8o x10o . . . . | 80 | 2 2 | 1 4 1 | 2 2 ---------+----+-------+---------+----- x . . . | 2 | 80 * | 1 2 0 | 2 1 . . x . | 2 | * 80 | 0 2 1 | 1 2 ---------+----+-------+---------+----- x8o . . | 8 | 8 0 | 10 * * | 2 0 x . x . | 4 | 2 2 | * 80 * | 1 1 . . x10o | 10 | 0 10 | * * 8 | 0 2 ---------+----+-------+---------+----- x8o x . ♦ 16 | 16 8 | 2 8 0 | 10 * x . x10o ♦ 20 | 10 20 | 0 10 2 | * 8
x4x x10o . . . . | 80 | 1 1 2 | 1 2 2 1 | 2 1 1 ---------+----+----------+------------+------- x . . . | 2 | 40 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 40 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 80 | 0 1 1 1 | 1 1 1 ---------+----+----------+------------+------- x4x . . | 8 | 4 4 0 | 10 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 40 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 40 * | 1 0 1 . . x10o | 10 | 0 0 10 | * * * 8 | 0 1 1 ---------+----+----------+------------+------- x4x x . ♦ 16 | 8 8 8 | 2 4 4 0 | 10 * * x . x10o ♦ 20 | 10 0 20 | 0 10 0 2 | * 4 * . x x10o ♦ 20 | 0 10 20 | 0 0 10 2 | * * 4
x5x x8o . . . . | 80 | 1 1 2 | 1 2 2 1 | 2 1 1 --------+----+----------+------------+------ x . . . | 2 | 40 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 40 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 80 | 0 1 1 1 | 1 1 1 --------+----+----------+------------+------ x5x . . | 10 | 5 5 0 | 8 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 40 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 40 * | 1 0 1 . . x8o | 8 | 0 0 8 | * * * 10 | 0 1 1 --------+----+----------+------------+------ x5x x . ♦ 20 | 10 10 10 | 2 5 5 0 | 8 * * x . x8o ♦ 16 | 8 0 16 | 0 8 0 2 | * 5 * . x x8o ♦ 16 | 0 8 16 | 0 0 8 2 | * * 5
x4x x5x . . . . | 80 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 --------+----+-------------+------------------+-------- x . . . | 2 | 40 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 40 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 40 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 40 | 0 0 1 0 1 1 | 0 1 1 1 --------+----+-------------+------------------+-------- x4x . . | 8 | 4 4 0 0 | 10 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 20 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 20 * * * | 0 1 1 0 . x x . | 4 | 0 2 2 0 | * * * 20 * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 20 * | 0 1 0 1 . . x5x | 10 | 0 0 5 5 | * * * * * 8 | 0 0 1 1 --------+----+-------------+------------------+-------- x4x x . ♦ 16 | 8 8 8 0 | 2 4 0 4 0 0 | 5 * * * x4x . x ♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 | * 5 * * x . x5x ♦ 20 | 10 0 10 10 | 0 5 5 0 0 2 | * * 4 * . x x5x ♦ 20 | 0 10 10 10 | 0 0 0 5 5 2 | * * * 4
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