Acronym | durat |
Name |
rectified-triacontiditeron dual, joined penteract |
Dual | rat |
Face vector | 42, 240, 400, 240, 40 |
Confer |
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External links |
This polyteron can be obtained as the tegum sum of a pent and a q-scaled tac. Here all the edges of the former remain as small ones, while the long ones come in as interconnections of the 2 vertex set members. In fact each facet itself is the tegum sum an edge of the latter with the fully orthogonal cube of the former, thus thereby becoming a taller variant of cute.
Incidence matrix according to Dynkin symbol
o3m3o3o4o = qo3oo3oo3oo4ox&#zc → height = 0, c = sqrt(5)/2 = 1.118034 (size of lacing edges) y = sqrt(2) = 1.414214 (tip-to-tip diagonals) (tegum sum of q-tac with pent) o.3o.3o.3o.4o. | 10 * ♦ 16 0 | 32 0 | 24 | 8 .o3.o3.o3.o4.o | * 32 ♦ 5 5 | 20 10 | 30 | 10 -------------------+-------+--------+--------+-----+--- oo3oo3oo3oo4oo&#c | 1 1 | 160 * ♦ 4 0 | 6 | 4 .. .. .. .. .x | 0 2 | * 80 ♦ 4 4 | 12 | 6 -------------------+-------+--------+--------+-----+--- .. .. .. .. ox&#c | 1 2 | 2 1 | 320 * | 3 | 3 .. .. .. .o4.x | 0 4 | 0 4 | * 80 | 3 | 3 -------------------+-------+--------+--------+-----+--- .. .. .. oo4ox&#c | 1 4 | 4 4 | 4 1 | 240 | 2 variant of squippy -------------------+-------+--------+--------+-----+--- qo .. oo3oo4ox&#zc | 2 8 | 16 12 | 24 6 | 12 | 40 variant of cute
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