Acronym | dahitady | ||||||||
Name | dishecatonicositruncated dishecatonicosachoron | ||||||||
Cross sections |
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Circumradius | sqrt[(23-5 sqrt(5))/2] = 2.431014 | ||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 7200, 14400, 6000, 360 | ||||||||
Confer |
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External links |
As abstract polytope dahitady is isomorphic to dahiquatady, thereby replacing pentagrams by pentagons, and interchanging the roles of decagons and decagrams, respectively replacing tiggy by ti and tigid by quit sissid.
Incidence matrix according to Dynkin symbol
o5/2x3x5/3x5*b . . . . | 7200 | 2 1 1 | 1 2 2 1 | 1 1 2 ---------------+------+----------------+--------------------+------------ . x . . | 2 | 7200 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 3600 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 3600 | 0 0 2 1 | 0 1 2 ---------------+------+----------------+--------------------+------------ o5/2x . . | 5 | 5 0 0 | 1440 * * * | 1 1 0 . x3x . | 6 | 3 3 0 | * 2400 * * | 1 0 1 . x . x5*b | 10 | 5 0 5 | * * 1440 * | 0 1 1 . . x5/3x | 10 | 0 5 5 | * * * 720 | 0 0 2 ---------------+------+----------------+--------------------+------------ o5/2x3x . ♦ 60 | 60 30 0 | 12 20 0 0 | 120 * * o5/2x . x5*b ♦ 60 | 60 0 30 | 12 0 12 0 | * 120 * . x3x5/3x5*b ♦ 120 | 60 60 60 | 0 20 12 12 | * * 120
o5/3x3x5/3x5*b . . . . | 7200 | 2 1 1 | 1 2 2 1 | 1 1 2 ---------------+------+----------------+--------------------+------------ . x . . | 2 | 7200 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 3600 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 3600 | 0 0 2 1 | 0 1 2 ---------------+------+----------------+--------------------+------------ o5/3x . . | 5 | 5 0 0 | 1440 * * * | 1 1 0 . x3x . | 6 | 3 3 0 | * 2400 * * | 1 0 1 . x . x5*b | 10 | 5 0 5 | * * 1440 * | 0 1 1 . . x5/3x | 10 | 0 5 5 | * * * 720 | 0 0 2 ---------------+------+----------------+--------------------+------------ o5/3x3x . ♦ 60 | 60 30 0 | 12 20 0 0 | 120 * * o5/3x . x5*b ♦ 60 | 60 0 30 | 12 0 12 0 | * 120 * . x3x5/3x5*b ♦ 120 | 60 60 60 | 0 20 12 12 | * * 120
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