Acronym | saddiddip |
Name | small-dodekicosidodecahedron prism |
Cross sections |
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Circumradius | sqrt[3+sqrt(5)] = 2.288246 |
General of army | sriddip |
Colonel of regiment | sriddip |
Dihedral angles | |
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As abstract polytope saddiddip is isomorphic to gaddiddip, thereby replacing retrograde pentagons and decagons respectively by pentagrams and decagrams, resp. replacing saddid by gaddid, pip by stip, and dip by stiddip. – It also is isomorphic to sidditdiddip, thereby replacing retrograde pentagons by retrograde pentagrams, resp. replacing saddid by sidditdid and pip by stip. – Finally it is isomorphic to gidditdiddip, thereby replacing retrograde pentagons and decagons respectively by pentagons and decagrams, resp. replacing saddid by gidditdid and dip by stiddip.
Incidence matrix according to Dynkin symbol
x x3/2o5x5*b . . . . | 120 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -------------+-----+------------+----------------+----------- x . . . | 2 | 60 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 120 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 120 | 0 1 0 1 1 | 0 1 1 1 -------------+-----+------------+----------------+----------- x x . . | 4 | 2 2 0 | 60 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 60 * * * | 0 1 1 0 . x3/2o . | 3 | 0 3 0 | * * 40 * * | 1 0 0 1 . x . x5*b | 10 | 0 5 5 | * * * 24 * | 0 1 0 1 . . o5x | 5 | 0 0 5 | * * * * 24 | 0 0 1 1 -------------+-----+------------+----------------+----------- x x3/2o . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 20 * * * x x . x5*b ♦ 20 | 10 10 10 | 5 5 0 2 0 | * 12 * * x . o5x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 12 * . x3/2o5x5*b ♦ 60 | 0 60 60 | 0 0 20 12 12 | * * * 2
x x3o5/4x5*b . . . . | 120 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -------------+-----+------------+----------------+----------- x . . . | 2 | 60 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 120 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 120 | 0 1 0 1 1 | 0 1 1 1 -------------+-----+------------+----------------+----------- x x . . | 4 | 2 2 0 | 60 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 60 * * * | 0 1 1 0 . x3o . | 3 | 0 3 0 | * * 40 * * | 1 0 0 1 . x . x5*b | 10 | 0 5 5 | * * * 24 * | 0 1 0 1 . . o5/4x | 5 | 0 0 5 | * * * * 24 | 0 0 1 1 -------------+-----+------------+----------------+----------- x x3o . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 20 * * * x x . x5*b ♦ 20 | 10 10 10 | 5 5 0 2 0 | * 12 * * x . o5/4x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 12 * . x3o5/4x5*b ♦ 60 | 0 60 60 | 0 0 20 12 12 | * * * 2
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