Acronym | gidipthi | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Name | great dipental trishecatonicosachoron | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Circumradius | sqrt[4-sqrt(5)] = 1.328131 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 1440, 7200, 4560, 360 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Confer |
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External links |
As abstract polytope gidipthi is isomorphic to sidipthi, thereby interchanging pentagrams and pentagons and replacing the decagrams by decagons, respectively ike by gike, sissid by gad, and gaddid by saddid.
Further it is isomorphic to gisdipthi, thereby likewise interchanging pentagons and pentagrams, but maintaining the decagrams, respectively replacing ike by gike, sissid by gad, and gaddid by gidditdid.
Finally it is isomorphic to sisdipthi, thereby maintaining pentagons and pentagrams, but replacing the decagrams by decagons, respectively replacing gaddid by sidditdid.
Incidence matrix according to Dynkin symbol
o5o3x5/3x5/2*b . . . . | 1440 | 5 5 | 5 5 5 | 1 1 5 ---------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 ---------------+------+-----------+---------------+------------ . o3x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/2*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 ---------------+------+-----------+---------------+------------ o5o3x . ♦ 12 | 30 0 | 20 0 0 | 120 * * o5o . x5/2*b ♦ 12 | 0 30 | 0 12 0 | * 120 * . o3x5/3x5/2*b ♦ 60 | 60 60 | 20 12 12 | * * 120
o5o3/2x5/3x5/3*b . . . . | 1440 | 5 5 | 5 5 5 | 1 1 5 -----------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 -----------------+------+-----------+---------------+------------ . o3/2x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/3*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 -----------------+------+-----------+---------------+------------ o5o3/2x . ♦ 12 | 30 0 | 20 0 0 | 120 * * o5o . x5/3*b ♦ 12 | 0 30 | 0 12 0 | * 120 * . o3/2x5/3x5/3*b ♦ 60 | 60 60 | 20 12 12 | * * 120
o5/4o3x5/3x5/2*b . . . . | 1440 | 5 5 | 5 5 5 | 1 1 5 -----------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 -----------------+------+-----------+---------------+------------ . o3x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/2*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 -----------------+------+-----------+---------------+------------ o5/4o3x . ♦ 12 | 30 0 | 20 0 0 | 120 * * o5/4o . x5/2*b ♦ 12 | 0 30 | 0 12 0 | * 120 * . o3x5/3x5/2*b ♦ 60 | 60 60 | 20 12 12 | * * 120
o5/4o3/2x5/3x5/3*b . . . . | 1440 | 5 5 | 5 5 5 | 1 1 5 -------------------+------+-----------+---------------+------------ . . x . | 2 | 3600 * | 2 0 1 | 1 0 2 . . . x | 2 | * 3600 | 0 2 1 | 0 1 2 -------------------+------+-----------+---------------+------------ . o3/2x . | 3 | 3 0 | 2400 * * | 1 0 1 . o . x5/3*b | 5 | 0 5 | * 1440 * | 0 1 1 . . x5/3x | 10 | 5 5 | * * 720 | 0 0 2 -------------------+------+-----------+---------------+------------ o5/4o3/2x . ♦ 12 | 30 0 | 20 0 0 | 120 * * o5/4o . x5/3*b ♦ 12 | 0 30 | 0 12 0 | * 120 * . o3/2x5/3x5/3*b ♦ 60 | 60 60 | 20 12 12 | * * 120
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