Acronym | sefdit dixdy |
Name | small 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 sefdit dixdy is isomorphic to gefdit dixdy, thereby replacing pentagrams by pentagons, resp. gid by id and siid by giid.
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 || x2v, linked diametrically by edges of length u.
This polychoron can be obtained as blend of middit thix with todtixhi, blending out their ri. Alternatively it can be obtained as blend of siddit thix with gotdatixhi, blending out their giddy.
Incidence matrix according to Dynkin symbol
_x_ _3- | 5/2 o< 3 >o 3/2 | _3- -x-
x3o3/2x3o5/2*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 . . o5/2*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 . o5/2*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3o5/2*a3*c ♦ 60 | 60 60 | 0 20 12 0 20 | * * 120 * . o3/2x3o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * 600
_x_ _3- | 5/3 o< 3 >o 3/2 | 3/2 -x-
x3o3/2x3/2o5/3*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 . . o5/3*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 . o5/3*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3/2o5/3*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 | 5/2 o< 3 >o -3_ | _3- -x-
x3/2o3x3o5/2*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 . . o5/2*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 . o5/2*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3o5/2*a3*c ♦ 60 | 60 60 | 0 20 12 0 20 | * * 120 * . o3x3o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * 600
_x_ 3/2 | 5/3 o< 3 >o -3_ | 3/2 -x-
x3/2o3x3/2o5/3*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 . . o5/3*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 . o5/3*a ♦ 30 | 60 0 | 20 0 12 0 0 | * 120 * * x . x3/2o5/3*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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