Acronym | aupip, J52 |
Name | augmented pentagonal prism |
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Vertex figure | [34], [32,4,5], [42,5] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Face vector | 11, 19, 10 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
oxxx oxfo&#xt → height(1,2) = 1/sqrt(2) = 0.707107 height(2,3) = sqrt[(5+sqrt(5))/8] = 0.951057 height(3,4) = sqrt[(5-sqrt(5))/8] = 0.587785 (pt || pseudo {4} || pseudo (x,f)-{4} || line) o... o... | 1 * * * | 4 0 0 0 0 0 0 | 2 2 0 0 0 .o.. .o.. | * 4 * * | 1 1 1 1 0 0 0 | 1 1 1 1 0 ..o. ..o. | * * 4 * | 0 0 0 1 1 1 0 | 0 0 1 1 1 ...o ...o | * * * 2 | 0 0 0 0 0 2 1 | 0 0 0 1 2 --------------+---------+---------------+---------- oo.. oo..&#x | 1 1 0 0 | 4 * * * * * * | 1 1 0 0 0 .x.. .... | 0 2 0 0 | * 2 * * * * * | 1 0 1 0 0 .... .x.. | 0 2 0 0 | * * 2 * * * * | 0 1 0 1 0 .oo. .oo.&#x | 0 1 1 0 | * * * 4 * * * | 0 0 1 1 0 ..x. .... | 0 0 2 0 | * * * * 2 * * | 0 0 1 0 1 ..oo ..oo&#x | 0 0 1 1 | * * * * * 4 * | 0 0 0 1 1 ...x .... | 0 0 0 2 | * * * * * * 1 | 0 0 0 0 2 --------------+---------+---------------+---------- ox.. ....&#x | 1 2 0 0 | 2 1 0 0 0 0 0 | 2 * * * * .... ox..&#x | 1 2 0 0 | 2 0 1 0 0 0 0 | * 2 * * * .xx. ....&#x | 0 2 2 0 | 0 1 0 2 1 0 0 | * * 2 * * .... .xfo&#xt | 0 2 2 1 | 0 0 1 2 0 2 0 | * * * 2 * ..xx ....&#x | 0 0 2 2 | 0 0 0 0 1 2 1 | * * * * 2
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