Acronym | ... |
Name | 2tho+24{4} (?) |
Circumradius | 1/sqrt(2) = 0.707107 |
Coordinates |
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General of army | hex |
Colonel of regiment | hex |
Confer |
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This Grünbaumian polychoron can be obtained constructively by adjoining 2 mutually inverted copies of 2thah, joined at their squares, and putting tet at all 8 triangles each, pointing all into the same 4th direction. The other 8 tet, adjoined to the 2nd 2thah, point into the opposite direction (thus becoming point-inverive too). The remaining 2thah finally are interlinked to the open tetrahedral faces.
Incidence matrix according to Dynkin symbol
x3o3/2x *b3o . . . . | 32 | 3 3 | 3 3 3 | 3 1 1 -------------+----+-------+----------+------ x . . . | 2 | 48 * | 2 1 0 | 2 1 0 . . x . | 2 | * 48 | 0 1 2 | 2 0 1 -------------+----+-------+----------+------ x3o . . | 3 | 3 0 | 32 * * | 1 1 0 x . x . | 4 | 2 2 | * 24 * | 2 0 0 . o3/2x . | 3 | 0 3 | * * 32 | 1 0 1 -------------+----+-------+----------+------ x3o3/2x . ♦ 12 | 12 12 | 4 6 4 | 8 * * x3o . *b3o ♦ 4 | 6 0 | 4 0 0 | * 8 * . o3/2x *b3o ♦ 4 | 0 6 | 0 0 4 | * * 8
x3o3/2x *b3/2o . . . . | 32 | 3 3 | 3 3 3 | 3 1 1 ---------------+----+-------+----------+------ x . . . | 2 | 48 * | 2 1 0 | 2 1 0 . . x . | 2 | * 48 | 0 1 2 | 2 0 1 ---------------+----+-------+----------+------ x3o . . | 3 | 3 0 | 32 * * | 1 1 0 x . x . | 4 | 2 2 | * 24 * | 2 0 0 . o3/2x . | 3 | 0 3 | * * 32 | 1 0 1 ---------------+----+-------+----------+------ x3o3/2x . ♦ 12 | 12 12 | 4 6 4 | 8 * * x3o . *b3/2o ♦ 4 | 6 0 | 4 0 0 | * 8 * . o3/2x *b3/2o ♦ 4 | 0 6 | 0 0 4 | * * 8
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