Acronym | pero, J6 |
Name |
pentagonal rotunda, half of icosidodecahedron |
© © | |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
Vertex figure | [(3,5)2], [3,5,10] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 20, 35, 17 |
Confer |
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External links |
This polyhedron is an edge-faceting of the icosidodecahedron (id).
Incidence matrix according to Dynkin symbol
xox5ofx&#xt → height(1,2) = sqrt[(5-sqrt(5))/10] = 0.525731 height(2,3) = sqrt[(5+sqrt(5))/10] = 0.850651 ({5} || pseudo dual f-{5} || {10}) o..5o.. | 5 * * | 2 2 0 0 0 | 1 2 1 0 0 .o.5.o. | * 5 * | 0 2 2 0 0 | 0 1 2 1 0 ..o5..o | * * 10 | 0 0 1 1 1 | 0 0 1 1 1 ------------+--------+-------------+---------- x.. ... | 2 0 0 | 5 * * * * | 1 1 0 0 0 oo.5oo.&#x | 1 1 0 | * 10 * * * | 0 1 1 0 0 .oo5.oo&#x | 0 1 1 | * * 10 * * | 0 0 1 1 0 ..x ... | 0 0 2 | * * * 5 * | 0 0 0 1 1 ... ..x | 0 0 2 | * * * * 5 | 0 0 1 0 1 ------------+--------+-------------+---------- x..5o.. | 5 0 0 | 5 0 0 0 0 | 1 * * * * xo. ...&#x | 2 1 0 | 1 2 0 0 0 | * 5 * * * ... ofx&#xt | 1 2 2 | 0 2 2 0 1 | * * 5 * * .ox ...&#x | 0 1 2 | 0 0 2 1 0 | * * * 5 * ..x5..x | 0 0 10 | 0 0 0 5 5 | * * * * 1
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