Acronym | sladit |
Name |
small lanceal ditriacontahedron, strombic hexecontahedron, deltoidal hexecontahedron, tetragonal hexecontahedron |
© | |
Inradius | sqrt[(97+43 sqrt(5))/82] = 1.534764 |
Dihedral angles |
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Dual | srid |
Face vector | 62, 120, 60 |
Confer |
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External links |
Only the lacings c and d survive as true edges. Those are the long resp. short ones. For their ratio one furthermore derives c/d = (7+sqrt(5))/6 = 1.539345. All other distances given below qualify as pseude edges only. Esp. x is nothing but the girding diagonal of the kites, and e is just the axial diagonal of the kites.
Incidence matrix according to Dynkin symbol
m3o5m = aoo3oxo5oob&#z(c,d,e) → height = 0 a = (3+sqrt(5))/3 = 1.745356 b = (8+2 sqrt(5))/11 = 1.133831 c = lacing(1,2) = sqrt[5+sqrt(5)]/3 = 0.896665 d = lacing(2,3) = sqrt[50-4 sqrt(5)]/11 = 0.582498 e = lacing(1,3) = sqrt[626+250 sqrt(5)]/33 = 1.043154 o..3o..5o.. | 12 * * | 4 0 | 4 .o.3.o.5.o. | * 30 * | 2 2 | 4 ..o3..o5..o | * * 20 | 0 3 | 3 --------------------+----------+-------+--- oo.3oo.5oo.&#c | 1 1 0 | 60 * | 2 c .oo3.oo5.oo&#d | 0 1 1 | * 60 | 2 d --------------------+----------+-------+--- ... oxo ...&#(c,d)t | 1 2 1 | 2 2 | 60
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