Acronym | mipthi | ||||||||||
Name | medial prismatotriakishecatonicosachoron | ||||||||||
Circumradius | sqrt[8+sqrt(5)] = 3.199386 | ||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 18000, 10320, 1080 | ||||||||||
Confer |
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External links |
As abstract polytope mipthi is isomorphic to gapthi, thereby replacing pentagrams by pentagons and interchanging decagrams and decagons, respectively replacing tid by quit gissid, stip by pip, and gaddid by saddid.
Likewise it is isomorphic to sid thipady, thereby interchanging decagrams and decagons only, respectively replacing tid by quit gissid, gaddid by sidditdid.
Further it is isomorphic to gid thipady, thereby replacing pentagons by pentagrams, respectively stip by pip and gaddid by gidditdid.
Incidence matrix according to Dynkin symbol
x5x3o5/2x5/3*b . . . . | 7200 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ---------------+------+----------------+--------------------------+---------------- x . . . | 2 | 3600 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 7200 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 7200 | 0 1 0 1 1 | 0 1 1 1 ---------------+------+----------------+--------------------------+---------------- x5x . . | 10 | 5 5 0 | 1440 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x3o . | 3 | 0 3 0 | * * 2400 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o5/2x | 5 | 0 0 5 | * * * * 1440 | 0 0 1 1 ---------------+------+----------------+--------------------------+---------------- x5x3o . ♦ 60 | 30 60 0 | 12 0 20 0 0 | 120 * * * x5x . x5/3*b ♦ 120 | 60 60 60 | 12 30 0 12 0 | * 120 * * x . o5/2x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 720 * . x3o5/2x5/3*b ♦ 60 | 0 60 60 | 0 0 20 12 12 | * * * 120
x5x3/2o5/3x5/3*b . . . . | 7200 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -----------------+------+----------------+--------------------------+---------------- x . . . | 2 | 3600 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 7200 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 7200 | 0 1 0 1 1 | 0 1 1 1 -----------------+------+----------------+--------------------------+---------------- x5x . . | 10 | 5 5 0 | 1440 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 3600 * * * | 0 1 1 0 . x3/2o . | 3 | 0 3 0 | * * 2400 * * | 1 0 0 1 . x . x5/3*b | 10 | 0 5 5 | * * * 1440 * | 0 1 0 1 . . o5/3x | 5 | 0 0 5 | * * * * 1440 | 0 0 1 1 -----------------+------+----------------+--------------------------+---------------- x5x3/2o . ♦ 60 | 30 60 0 | 12 0 20 0 0 | 120 * * * x5x . x5/3*b ♦ 120 | 60 60 60 | 12 30 0 12 0 | * 120 * * x . o5/3x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 720 * . x3/2o5/3x5/3*b ♦ 60 | 0 60 60 | 0 0 20 12 12 | * * * 120
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