Acronym | tistodip |
Name |
triangle - octagram duoprism, octagram - stop wedge |
Circumradius | sqrt[(8-3 sqrt(2))/6] = 0.791345 |
Dihedral angles | |
Face vector | 24, 48, 35, 11 |
Confer |
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External links |
As abstract polychoron tistodip is isomorph to todip, thereby replacing octagrams by octagons, resp. stop by op.
Incidence matrix according to Dynkin symbol
x3o x8/3o . . . . | 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 . . x8/3o | 8 | 0 8 | * * 3 | 0 2 ----------+----+-------+--------+---- x3o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8/3o ♦ 16 | 8 16 | 0 8 2 | * 3
x3o x8/5o . . . . | 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 . . x8/5o | 8 | 0 8 | * * 3 | 0 2 ----------+----+-------+--------+---- x3o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8/5o ♦ 16 | 8 16 | 0 8 2 | * 3
x3/2o x8/3o . . . . | 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 . . x8/3o | 8 | 0 8 | * * 3 | 0 2 ------------+----+-------+--------+---- x3/2o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8/3o ♦ 16 | 8 16 | 0 8 2 | * 3
x3/2o x8/5o . . . . | 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 . . x8/5o | 8 | 0 8 | * * 3 | 0 2 ------------+----+-------+--------+---- x3/2o x . ♦ 6 | 6 3 | 2 3 0 | 8 * x . x8/5o ♦ 16 | 8 16 | 0 8 2 | * 3
x3o x4/3x . . . . | 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 . . x4/3x | 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 . x4/3x ♦ 16 | 8 8 8 | 0 4 4 2 | * * 3
x3/2o x4/3x . . . . | 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 . . x4/3x | 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 . x4/3x ♦ 16 | 8 8 8 | 0 4 4 2 | * * 3
ox xx4/3xx&#x → height = sqrt(3)/2 = 0.866025 o. o.4/3o. | 8 * | 1 1 2 0 0 0 | 1 1 2 2 0 0 0 | 1 1 2 0 .o .o4/3.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 oo4/3oo&#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.4/3x. | 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 .. .x4/3.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 * * .. xx4/3xx&#x ♦ 8 8 | 4 4 8 0 4 4 | 1 0 4 4 0 0 1 | * * 2 * .x .x4/3.x ♦ 0 16 | 0 0 0 8 8 8 | 0 0 0 0 4 4 2 | * * * 1
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