Acronym | owaudope |
Name | omni-augmented dodecahedral-prism |
© | |
Dihedral angles | |
Face vector | 52, 200, 234, 86 |
Confer |
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This polychoron is derived by augmenting all lateral pips of dope with pippies.
Incidence matrix according to Dynkin symbol
oAo3ooo5xox&#xt → both heights = 1/2, where A = 3/sqrt(5) = 1.341641 o..3o..5o.. | 20 * * | 3 3 1 0 0 | 3 6 3 3 0 0 | 1 3 6 0 0 .o.3.o.5.o. | * 12 * ♦ 0 5 0 5 0 | 0 5 0 5 5 0 | 0 1 5 1 0 ..o3..o5..o | * * 20 | 0 0 1 3 3 | 0 0 3 3 6 3 | 0 0 6 3 1 ---------------+----------+----------------+-------------------+------------- ... ... x.. | 2 0 0 | 30 * * * * | 2 2 1 0 0 0 | 1 2 2 0 0 oo.3oo.5oo.&#x | 1 1 0 | * 60 * * * | 0 2 0 1 0 0 | 0 1 2 0 0 o.o3o.o5o.o&#x | 1 0 1 | * * 20 * * | 0 0 3 3 0 0 | 0 0 6 0 0 .oo3.oo5.oo&#x | 0 1 1 | * * * 60 * | 0 0 0 1 2 0 | 0 0 2 1 0 ... ... ..x | 0 0 2 | * * * * 30 | 0 0 1 0 2 2 | 0 0 2 2 1 ---------------+----------+----------------+-------------------+------------- ... o..5x.. | 5 0 0 | 5 0 0 0 0 | 12 * * * * * | 1 1 0 0 0 ... ... xo.&#x | 2 1 0 | 1 2 0 0 0 | * 60 * * * * | 0 1 1 0 0 ... ... x.x&#x | 2 0 2 | 1 0 2 0 1 | * * 30 * * * | 0 0 2 0 0 ooo3ooo5ooo&#x | 1 1 1 | 0 1 1 1 0 | * * * 60 * * | 0 0 2 0 0 ... ... .ox&#x | 0 1 2 | 0 0 0 2 1 | * * * * 60 * | 0 0 1 1 0 ... ..o5..x | 0 0 5 | 0 0 0 0 5 | * * * * * 12 | 0 0 0 1 1 ---------------+----------+----------------+-------------------+------------- o..3o..5x.. ♦ 20 0 0 | 30 0 0 0 0 | 12 0 0 0 0 0 | 1 * * * * ... oo.5xo.&#x ♦ 5 1 0 | 5 5 0 0 0 | 1 5 0 0 0 0 | * 12 * * * ... ... xox&#x ♦ 2 1 2 | 1 2 2 2 1 | 0 1 1 2 1 0 | * * 60 * * ... .oo5.ox&#x ♦ 0 1 5 | 0 0 0 5 5 | 0 0 0 0 5 1 | * * * 12 * ..o3..o5..x ♦ 0 0 20 | 0 0 0 0 30 | 0 0 0 0 0 12 | * * * * 1
or o..3o..5o.. & | 40 * | 3 3 1 | 3 6 3 3 | 1 3 6 .o.3.o.5.o. | * 12 ♦ 0 10 0 | 0 10 0 5 | 0 2 5 -----------------+-------+-----------+--------------+-------- ... ... x.. & | 2 0 | 60 * * | 2 2 1 0 | 1 2 2 oo.3oo.5oo.&#x & | 1 1 | * 120 * | 0 2 0 1 | 0 1 2 o.o3o.o5o.o&#x | 2 0 | * * 20 | 0 0 3 3 | 0 0 6 -----------------+-------+-----------+--------------+-------- ... o..5x.. & | 5 0 | 5 0 0 | 24 * * * | 1 1 0 ... ... xo.&#x & | 2 1 | 1 2 0 | * 120 * * | 0 1 1 ... ... x.x&#x | 4 0 | 2 0 2 | * * 30 * | 0 0 2 ooo3ooo5ooo&#x | 2 1 | 0 2 1 | * * * 60 | 0 0 2 -----------------+-------+-----------+--------------+-------- o..3o..5x.. & ♦ 20 0 | 30 0 0 | 12 0 0 0 | 2 * * ... oo.5xo.&#x & ♦ 5 1 | 5 5 0 | 1 5 0 0 | * 24 * ... ... xox&#x ♦ 4 1 | 2 4 2 | 0 2 1 2 | * * 60
oA3oo5xo xo&#zx → height = 0, where A = 3/sqrt(5) = 1.341641 (tegum sum of dope and A-ike) o.3o.5o. o. | 40 * | 3 1 3 | 3 3 6 3 | 1 3 6 .o3.o5.o .o | * 12 ♦ 0 0 10 | 0 0 10 5 | 0 2 5 ---------------+-------+-----------+--------------+-------- .. .. x. .. | 2 0 | 60 * * | 2 1 2 0 | 1 2 2 .. .. .. x. | 2 0 | * 20 * | 0 3 0 3 | 0 0 6 oo3oo5oo oo&#x | 1 1 | * * 120 | 0 0 2 1 | 0 1 2 ---------------+-------+-----------+--------------+-------- .. o.5x. .. | 5 0 | 5 0 0 | 24 * * * | 1 1 0 .. .. x. x. | 4 0 | 2 2 0 | * 30 * * | 0 0 2 .. .. xo ..&#x | 2 1 | 1 0 2 | * * 120 * | 0 1 1 .. .. .. xo&#x | 2 1 | 0 1 2 | * * * 60 | 0 0 2 ---------------+-------+-----------+--------------+-------- o.3o.5x. .. ♦ 20 0 | 30 0 0 | 12 0 0 0 | 2 * * .. oo5xo ..&#x ♦ 5 1 | 5 0 5 | 1 0 5 0 | * 24 * .. .. xo xo&#x ♦ 4 1 | 2 2 4 | 0 1 2 2 | * * 60
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