Acronym | todip, K-4.59 |
Name |
triangle - octagon duoprism, octagon - op wedge |
Circumradius | sqrt[(8+3 sqrt(2))/6] = 1.428440 |
Volume | [1+sqrt(2)] sqrt(3)/2 = 2.090770 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 24, 48, 35, 11 |
Confer |
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External links |
As abstract polychoron todip is isomorph to tistodip, thereby replacing octagons by octagrams, resp. op by stop.
Incidence matrix according to Dynkin symbol
x3o x8o . . . . | 24 | 2 2 | 1 4 1 | 2 2 --------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 --------+----+-------+--------+---- x3o . . | 3 | 3 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x8o | 8 | 0 8 | * * 3 | 0 2 --------+----+-------+--------+---- x3o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8o ♦ 16 | 8 16 | 0 8 2 | * 3
x3o x8/7o . . . . | 24 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x3o . . | 3 | 3 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x8/7o | 8 | 0 8 | * * 3 | 0 2 ----------+----+-------+--------+---- x3o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8/7o ♦ 16 | 8 16 | 0 8 2 | * 3
x3/2o x8o . . . . | 24 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x3/2o . . | 3 | 3 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x8o | 8 | 0 8 | * * 3 | 0 2 ----------+----+-------+--------+---- x3/2o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8o ♦ 16 | 8 16 | 0 8 2 | * 3
x3/2o x8/7o . . . . | 24 | 2 2 | 1 4 1 | 2 2 ------------+----+-------+--------+---- x . . . | 2 | 24 * | 1 2 0 | 2 1 . . x . | 2 | * 24 | 0 2 1 | 1 2 ------------+----+-------+--------+---- x3/2o . . | 3 | 3 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 24 * | 1 1 . . x8/7o | 8 | 0 8 | * * 3 | 0 2 ------------+----+-------+--------+---- x3/2o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8/7o ♦ 16 | 8 16 | 0 8 2 | * 3
x3o x4x . . . . | 24 | 2 1 1 | 1 2 2 1 | 1 1 2 --------+----+----------+-----------+------ x . . . | 2 | 24 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 12 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 12 | 0 0 2 1 | 0 1 2 --------+----+----------+-----------+------ x3o . . | 3 | 3 0 0 | 8 * * * | 1 1 0 x . x . | 4 | 2 2 0 | * 12 * * | 1 0 1 x . . x | 4 | 2 0 2 | * * 12 * | 0 1 1 . . x4x | 8 | 0 4 4 | * * * 3 | 0 0 2 --------+----+----------+-----------+------ x3o x . ♦ 6 | 6 3 0 | 2 3 0 0 | 4 * * x3o . x ♦ 6 | 6 0 3 | 2 0 3 0 | * 4 * x . x4x ♦ 16 | 8 8 8 | 0 4 4 2 | * * 3 snubbed forms: x3o2s4x
x3/2o x4x . . . . | 24 | 2 1 1 | 1 2 2 1 | 1 1 2 ----------+----+----------+-----------+------ x . . . | 2 | 24 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 12 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 12 | 0 0 2 1 | 0 1 2 ----------+----+----------+-----------+------ x3/2o . . | 3 | 3 0 0 | 8 * * * | 1 1 0 x . x . | 4 | 2 2 0 | * 12 * * | 1 0 1 x . . x | 4 | 2 0 2 | * * 12 * | 0 1 1 . . x4x | 8 | 0 4 4 | * * * 3 | 0 0 2 ----------+----+----------+-----------+------ x3/2o x . ♦ 6 | 6 3 0 | 2 3 0 0 | 4 * * x3/2o . x ♦ 6 | 6 0 3 | 2 0 3 0 | * 4 * x . x4x ♦ 16 | 8 8 8 | 0 4 4 2 | * * 3
ox xx4xx&#x → height = sqrt(3)/2 = 0.866025 o. o.4o. | 8 * | 1 1 2 0 0 0 | 1 1 2 2 0 0 0 | 1 1 2 0 .o .o4.o | * 16 | 0 0 1 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ------------+------+--------------+---------------+-------- .. x. .. | 2 0 | 4 * * * * * | 1 0 2 0 0 0 0 | 1 0 2 0 .. .. x. | 2 0 | * 4 * * * * | 1 0 0 2 0 0 0 | 0 1 2 0 oo oo4oo&#x | 1 1 | * * 16 * * * | 0 1 1 1 0 0 0 | 1 1 1 0 .x .. .. | 0 2 | * * * 8 * * | 0 1 0 0 1 1 0 | 1 1 0 1 .. .x .. | 0 2 | * * * * 8 * | 0 0 1 0 1 0 1 | 1 0 1 1 .. .. .x | 0 2 | * * * * * 8 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+------+--------------+---------------+-------- .. x.4x. | 8 0 | 4 4 0 0 0 0 | 1 * * * * * * | 0 0 2 0 ox .. ..&#x | 1 2 | 0 0 2 1 0 0 | * 8 * * * * * | 1 1 0 0 .. xx ..&#x | 2 2 | 1 0 2 0 1 0 | * * 8 * * * * | 1 0 1 0 .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * 8 * * * | 0 1 1 0 .x .x .. | 0 4 | 0 0 0 2 2 0 | * * * * 4 * * | 1 0 0 1 .x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * 4 * | 0 1 0 1 .. .x4.x | 0 8 | 0 0 0 0 4 4 | * * * * * * 2 | 0 0 1 1 ------------+------+--------------+---------------+-------- ox xx ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 2 2 0 1 0 0 | 4 * * * ox .. xx&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 2 0 2 0 1 0 | * 4 * * .. xx4xx&#x ♦ 8 8 | 4 4 8 0 4 4 | 1 0 4 4 0 0 1 | * * 2 * .x .x4.x ♦ 0 16 | 0 0 0 8 8 8 | 0 0 0 0 4 4 2 | * * * 1
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