Acronym | pedpy (alt.: pet), J13 |
Name |
pentagonal dipyramid, (line-)pentagon-tegum |
© © | |
Vertex figure | [34], [35] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
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Face vector | 7, 15, 10 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
oxo5ooo&#xt → both heights = sqrt((5-sqrt(5))/10) = 0.525731 (pt || pseudo {5} || pt) o..5o.. | 1 * * | 5 0 0 | 5 0 .o.5.o. | * 5 * | 1 2 1 | 2 2 ..o5..o | * * 1 | 0 0 5 | 0 5 -----------+-------+-------+--- oo.5oo.&#x | 1 1 0 | 5 * * | 2 0 .x.5... | 0 2 0 | * 5 * | 1 1 .oo5.oo&#x | 0 1 1 | * * 5 | 0 2 -----------+-------+-------+---- ox.5...&#x | 1 2 0 | 2 1 0 | 5 * .xo5...&#x | 0 2 1 | 0 1 2 | * 5
or o..5o.. & | 2 * | 5 0 | 5 .o.5.o. | * 5 | 2 2 | 4 --------------+-----+------+--- oo.5oo.&#x & | 1 1 | 10 * | 2 .x.5... | 0 2 | * 5 | 2 --------------+-----+------+--- ox.5...&#x & | 1 2 | 2 1 | 10
yo ox5oo&#zx → height = 0 (y = sqrt((10-2 sqrt(5))/5) = 1.051462) (tegum product of line with {5}) o. o.5o. | 2 * | 5 0 | 5 .o .o5.o | * 5 | 2 2 | 4 ------------+-----+------+--- oo oo5oo&#x | 1 1 | 10 * | 2 .. .x5.o | 0 2 | * 5 | 2 ------------+-----+------+--- .. ox ..&#x | 1 2 | 2 1 | 10
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