Acronym | gefdit dixdy |
Name | great exofissary ditrigonal dihexacosadihecatonicosachoron |
Circumradius | sqrt(3) = 1.732051 |
General of army | rahi |
Colonel of regiment | rissidtixhi |
Face vector | 3600, 14400, 11040, 1440 |
Confer |
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As abstract polytope gefdit dixdy is isomorphic to sefdit dixdy, thereby replacing pentagons by pentagrams, resp. id by gid and giid by siid.
This polychoron is exotic, as 2 classes of triangles coincide pairwise. Also the edges coincide pairwise. It also is fissary, as its vertices coincide by 3. In fact, each vertex figure is kind a x2x || x2f, linked diametrically by edges of length u.
This polychoron can be obtained as blend of gaddit thix with todtixhi, blending out their ri. Alternatively it can be obtained as blend of giddit thix with stodatixhi, blending out their siddy.
Incidence matrix according to Dynkin symbol
_x_ _3- | 5/4 o< 3 >o 3/2 | _3- -x-
x3o3/2x3o5/4*a3*c . . . . | 3600 | 4 4 | 2 4 2 2 2 | 2 1 2 1 ------------------+------+-----------+--------------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 0 | 1 1 1 0 . . x . | 2 | * 7200 | 0 1 0 1 1 | 1 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3o . . | 3 | 3 0 | 2400 * * * * | 1 1 0 0 x . x . *a3*c | 6 | 3 3 | * 2400 * * * | 1 0 1 0 x . . o5/4*a | 5 | 5 0 | * * 1440 * * | 0 1 1 0 . o3/2x . | 3 | 0 3 | * * * 2400 * | 1 0 0 1 . . x3o | 3 | 0 3 | * * * * 2400 | 0 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3o3/2x . *a3*c ♦ 12 | 12 12 | 4 4 0 4 0 | 600 * * * x3o . o5/4*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3o5/4*a3*c ♦ 60 | 60 60 | 0 20 12 0 20 | * * 120 * . o3/2x3o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * 600
_x_ _3- | -5_ o< 3 >o 3/2 | 3/2 -x-
x3o3/2x3/2o5*a3*c . . . . | 3600 | 4 4 | 2 4 2 2 2 | 2 1 2 1 ------------------+------+-----------+--------------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 0 | 1 1 1 0 . . x . | 2 | * 7200 | 0 1 0 1 1 | 1 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3o . . | 3 | 3 0 | 2400 * * * * | 1 1 0 0 x . x . *a3*c | 6 | 3 3 | * 2400 * * * | 1 0 1 0 x . . o5*a | 5 | 5 0 | * * 1440 * * | 0 1 1 0 . o3/2x . | 3 | 0 3 | * * * 2400 * | 1 0 0 1 . . x3/2o | 3 | 0 3 | * * * * 2400 | 0 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3o3/2x . *a3*c ♦ 12 | 12 12 | 4 4 0 4 0 | 600 * * * x3o . o5*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3/2o5*a3*c ♦ 60 | 60 60 | 0 20 12 0 20 | * * 120 * . o3/2x3/2o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * 600
_x_ 3/2 | 5/4 o< 3 >o -3_ | _3- -x-
x3/2o3x3o5/4*a3*c . . . . | 3600 | 4 4 | 2 4 2 2 2 | 2 1 2 1 ------------------+------+-----------+--------------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 0 | 1 1 1 0 . . x . | 2 | * 7200 | 0 1 0 1 1 | 1 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3/2o . . | 3 | 3 0 | 2400 * * * * | 1 1 0 0 x . x . *a3*c | 6 | 3 3 | * 2400 * * * | 1 0 1 0 x . . o5/4*a | 5 | 5 0 | * * 1440 * * | 0 1 1 0 . o3x . | 3 | 0 3 | * * * 2400 * | 1 0 0 1 . . x3o | 3 | 0 3 | * * * * 2400 | 0 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3/2o3x . *a3*c ♦ 12 | 12 12 | 4 4 0 4 0 | 600 * * * x3/2o . o5/4*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3o5/4*a3*c ♦ 60 | 60 60 | 0 20 12 0 20 | * * 120 * . o3x3o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * 600
_x_ 3/2 | -5_ o< 3 >o -3_ | 3/2 -x-
x3/2o3x3/2o5*a3*c . . . . | 3600 | 4 4 | 2 4 2 2 2 | 2 1 2 1 ------------------+------+-----------+--------------------------+---------------- x . . . | 2 | 7200 * | 1 1 1 0 0 | 1 1 1 0 . . x . | 2 | * 7200 | 0 1 0 1 1 | 1 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3/2o . . | 3 | 3 0 | 2400 * * * * | 1 1 0 0 x . x . *a3*c | 6 | 3 3 | * 2400 * * * | 1 0 1 0 x . . o5*a | 5 | 5 0 | * * 1440 * * | 0 1 1 0 . o3x . | 3 | 0 3 | * * * 2400 * | 1 0 0 1 . . x3/2o | 3 | 0 3 | * * * * 2400 | 0 0 1 1 ------------------+------+-----------+--------------------------+---------------- x3/2o3x . *a3*c ♦ 12 | 12 12 | 4 4 0 4 0 | 600 * * * x3/2o . o5*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3/2o5*a3*c ♦ 60 | 60 60 | 0 20 12 0 20 | * * 120 * . o3x3/2o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * 600
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