Acronym | ... |
Name | sirdatady+1440{5/2} |
Circumradius | sqrt[3+sqrt(5)] = 2.288246 |
General of army | hi |
Colonel of regiment | sidtaxhi |
Confer |
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As abstract polytope sirdatady+1440{5/2} is isomorphic to gardatady+1440{5}, thereby interchanging pentagrams and pentagons, resp. replacing sidtid by gidtid and id by gid.
In this Grünbaumian polychoron it happens that the sidtid and the ditdid become co-realmic. Therefore any such pair looks like their blend, the gidtid, in addition to those pairs of coincident pentagrams, which while blending would be reduced. Accordingly, for sirdatady+1440{5/2}, edges and pentagrams come in coincident pairs too.
Incidence matrix according to Dynkin symbol
x3o3o3o5/4*a5/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------+-----+------+----------------+------------ x3o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/2*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5/4*a | 5 | 5 | * * 1440 | 0 1 1 ------------------+-----+------+----------------+------------ x3o3o . *a5/2*c ♦ 20 | 60 | 20 12 0 | 120 * * x3o . o5/4*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3o5/4*a5/2*c ♦ 20 | 60 | 0 12 12 | * * 120
x3o3o3/2o5*a5/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------+-----+------+----------------+------------ x3o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/2*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 ------------------+-----+------+----------------+------------ x3o3o . *a5/2*c ♦ 20 | 60 | 20 12 0 | 120 * * x3o . o5*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3/2o5*a5/2*c ♦ 20 | 60 | 0 12 12 | * * 120
x3o3/2o3/2o5/4*a5/3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ----------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ----------------------+-----+------+----------------+------------ x3o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/3*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5/4*a | 5 | 5 | * * 1440 | 0 1 1 ----------------------+-----+------+----------------+------------ x3o3/2o . *a5/3*c ♦ 20 | 60 | 20 12 0 | 120 * * x3o . o5/4*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3/2o5/4*a5/3*c ♦ 20 | 60 | 0 12 12 | * * 120
x3o3/2o3o5*a5/3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------+-----+------+----------------+------------ x3o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/3*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 ------------------+-----+------+----------------+------------ x3o3/2o . *a5/3*c ♦ 20 | 60 | 20 12 0 | 120 * * x3o . o5*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3o5*a5/3*c ♦ 20 | 60 | 0 12 12 | * * 120
x3/2o3o3o5*a5/3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ------------------+-----+------+----------------+------------ x3/2o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/3*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 ------------------+-----+------+----------------+------------ x3/2o3o . *a5/3*c ♦ 20 | 60 | 20 12 0 | 120 * * x3/2o . o5*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3o5*a5/3*c ♦ 20 | 60 | 0 12 12 | * * 120
x3/2o3o3/2o5/4*a5/3*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ----------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ----------------------+-----+------+----------------+------------ x3/2o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/3*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5/4*a | 5 | 5 | * * 1440 | 0 1 1 ----------------------+-----+------+----------------+------------ x3/2o3o . *a5/3*c ♦ 20 | 60 | 20 12 0 | 120 * * x3/2o . o5/4*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3/2o5/4*a5/3*c ♦ 20 | 60 | 0 12 12 | * * 120
x3/2o3/2o3o5/4*a5/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ----------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ----------------------+-----+------+----------------+------------ x3/2o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/2*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5/4*a | 5 | 5 | * * 1440 | 0 1 1 ----------------------+-----+------+----------------+------------ x3/2o3/2o . *a5/2*c ♦ 20 | 60 | 20 12 0 | 120 * * x3/2o . o5/4*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3o5/4*a5/2*c ♦ 20 | 60 | 0 12 12 | * * 120
x3/2o3/2o3/2o5*a5/2*c . . . . | 600 | 24 | 12 12 12 | 4 6 4 ----------------------+-----+------+----------------+------------ x . . . | 2 | 7200 | 1 1 1 | 1 1 1 ----------------------+-----+------+----------------+------------ x3/2o . . | 3 | 3 | 2400 * * | 1 1 0 x . o . *a5/2*c | 5 | 5 | * 1440 * | 1 0 1 x . . o5*a | 5 | 5 | * * 1440 | 0 1 1 ----------------------+-----+------+----------------+------------ x3/2o3/2o . *a5/2*c ♦ 20 | 60 | 20 12 0 | 120 * * x3/2o . o5*a ♦ 30 | 60 | 20 0 12 | * 120 * x . o3/2o5*a5/2*c ♦ 20 | 60 | 0 12 12 | * * 120
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