Acronym | perope, K-4.92 |
Name | pentagonal-rotunda prism |
Segmentochoron display | |
Circumradius | sqrt[7+2 sqrt(5)]/2 = 1.693527 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
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Face vector | 40, 90, 69, 19 |
Confer |
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Incidence matrix according to Dynkin symbol
xxx xox5ofx&#xt → height(1,2) = sqrt[(5-sqrt(5))/10] = 0.525731 height(2,3) = sqrt[(5+sqrt(5))/10] = 0.850651 (pip || pseudo dual f-pip || dip) o.. o..5o.. | 10 * * | 1 2 2 0 0 0 0 0 | 2 1 2 2 1 0 0 0 0 0 | 1 2 1 1 0 0 .o. .o.5.o. | * 10 * | 0 0 2 1 2 0 0 0 | 0 0 2 1 2 2 1 0 0 0 | 0 1 2 1 1 0 ..o ..o5..o | * * 20 | 0 0 0 0 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 | 0 0 1 1 1 1 ----------------+----------+-----------------------+--------------------------+------------ x.. ... ... | 2 0 0 | 5 * * * * * * * | 2 0 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 ... x.. ... | 2 0 0 | * 10 * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 0 1 0 0 oo. oo.5oo.&#x | 1 1 0 | * * 20 * * * * * | 0 0 1 1 1 0 0 0 0 0 | 0 1 1 1 0 0 .x. ... ... | 0 2 0 | * * * 5 * * * * | 0 0 2 0 0 2 0 0 0 0 | 0 1 2 0 1 0 .oo .oo5.oo&#x | 0 1 1 | * * * * 20 * * * | 0 0 0 0 1 1 1 0 0 0 | 0 0 1 1 1 0 ..x ... ... | 0 0 2 | * * * * * 10 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 0 1 1 ... ..x ... | 0 0 2 | * * * * * * 10 * | 0 0 0 0 0 0 1 1 0 1 | 0 0 0 1 1 1 ... ... ..x | 0 0 2 | * * * * * * * 10 | 0 0 0 0 1 0 0 0 1 1 | 0 0 1 1 0 1 ----------------+----------+-----------------------+--------------------------+------------ x.. x.. ... | 4 0 0 | 2 2 0 0 0 0 0 0 | 5 * * * * * * * * * | 1 1 0 0 0 0 ... x..5o.. | 5 0 0 | 0 5 0 0 0 0 0 0 | * 2 * * * * * * * * | 1 0 0 1 0 0 xx. ... ...&#x | 2 2 0 | 1 0 2 1 0 0 0 0 | * * 10 * * * * * * * | 0 1 1 0 0 0 ... xo. ...&#x | 2 1 0 | 0 1 2 0 0 0 0 0 | * * * 10 * * * * * * | 0 1 0 1 0 0 ... ... ofx&#xt | 1 2 2 | 0 0 2 0 2 0 0 1 | * * * * 10 * * * * * | 0 0 1 1 0 0 .xx ... ...&#x | 0 2 2 | 0 0 0 1 2 1 0 0 | * * * * * 10 * * * * | 0 0 1 0 1 0 ... .ox ...&#x | 0 1 2 | 0 0 0 0 2 0 1 0 | * * * * * * 10 * * * | 0 0 0 1 1 0 ..x ..x ... | 0 0 4 | 0 0 0 0 0 2 2 0 | * * * * * * * 5 * * | 0 0 0 0 1 1 ..x ... ..x | 0 0 4 | 0 0 0 0 0 2 0 2 | * * * * * * * * 5 * | 0 0 1 0 0 1 ... ..x5..x | 0 0 10 | 0 0 0 0 0 0 5 5 | * * * * * * * * * 2 | 0 0 0 1 0 1 ----------------+----------+-----------------------+--------------------------+------------ x.. x..5o.. ♦ 10 0 0 | 5 10 0 0 0 0 0 0 | 5 2 0 0 0 0 0 0 0 0 | 1 * * * * * xx. xo. ...&#x ♦ 4 2 0 | 2 2 4 1 0 0 0 0 | 1 0 2 2 0 0 0 0 0 0 | * 5 * * * * xxx ... ofx&#xt ♦ 2 4 4 | 1 0 4 2 4 2 0 2 | 0 0 2 0 2 2 0 0 1 0 | * * 5 * * * ... xox5ofx&#xt ♦ 5 5 10 | 0 5 10 0 10 0 5 5 | 0 1 0 5 5 0 5 0 0 1 | * * * 2 * * .xx .ox ...&#x ♦ 0 2 4 | 0 0 0 1 4 2 2 0 | 0 0 0 0 0 2 2 1 0 0 | * * * * 5 * ..x ..x5..x ♦ 0 0 20 | 0 0 0 0 0 10 10 10 | 0 0 0 0 0 0 0 5 5 2 | * * * * * 1
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