Acronym | ... |
Name | dodeca-augmented rhombicuboctahedron |
© | |
Vertex figure | [3,4,3,H], [3,h,3,h] |
Coordinates |
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Face vector | 36, 72, 38 |
Confer | 30-augmented srid expanded 12-augmented girco |
The non-regular hexagons {(h,H)3} are shield hexagons. Their vertex angles are alternatingly h = arccos[-1/4] = 104.477512° resp. H = arccos[-(3 sqrt(5)-1)/8] = 135.522488°.
Incidence matrix according to Dynkin symbol
ao3ob4xo&#zx → height = 0 a = HH = sqrt(5/2) = 1.581139 (pseudo edge) b = hh = (3+sqrt(5))/sqrt(8) = 1.851230 (pseudo edge) x = hH = 1 o.3o.4o. | 24 * | 2 2 | 1 1 2 [3,4,3,H] .o3.o4.o | * 12 | 0 4 | 0 2 2 [3,h,3,h] -------------+-------+-------+------- .. .. x. | 2 0 | 24 * | 1 0 1 oo3oo4oo&#x | 1 1 | * 48 | 0 1 1 -------------+-------+-------+------- .. o.4x. | 4 0 | 4 0 | 6 * * ao3ob ..&#xz | 3 3 | 0 6 | * 8 * {(h,H)3} .. .. xo&#x | 2 1 | 1 2 | * * 24
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