Acronym | tridpy (alt.: trit), J12 |
Name |
trigonal dipyramid, (line-)triangle-tegum |
© © | |
Vertex figure | [33], [34] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
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Face vector | 5, 9, 6 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
oxo3ooo&#xt → both heights = sqrt(2/3) = 0.816497 (pt || pseudo {3} || pt) o..3o.. | 1 * * | 3 0 0 | 3 0 .o.3.o. | * 3 * | 1 2 1 | 2 2 ..o3..o | * * 1 | 0 0 3 | 0 3 -----------+-------+-------+--- oo.3oo.&#x | 1 1 0 | 3 * * | 2 0 .x.3... | 0 2 0 | * 3 * | 1 1 .oo3.oo&#x | 0 1 1 | * * 3 | 0 2 -----------+-------+-------+---- ox.3...&#x | 1 2 0 | 2 1 0 | 3 * .xo3...&#x | 0 2 1 | 0 1 2 | * 3
or o..3o.. & | 2 * | 3 0 | 3 .o.3.o. | * 3 | 2 2 | 4 --------------+-----+-----+-- oo.3oo.&#x & | 1 1 | 6 * | 2 .x.3... | 0 2 | * 3 | 2 --------------+-----+-----+-- ox.3...&#x & | 1 2 | 2 1 | 6
yo ox3oo&#zx → height = 0 (y = sqrt(8/3) = 1.632993) (tegum product of line with {3}) o. o.3o. | 2 * | 3 0 | 3 .o .o3.o | * 3 | 2 2 | 4 ------------+-----+-----+-- oo oo3oo&#x | 1 1 | 6 * | 2 .. .x3.o | 0 2 | * 3 | 2 ------------+-----+-----+-- .. ox ..&#x | 1 2 | 2 1 | 6
oyo oox&#xt → height(1,2) = 1/sqrt(3) = 0.577350 height(2,3) = 1/sqrt(12) = 0.288675 y = sqrt(8/3) = 1.632993 (pt || pseudo y-line || perp line) o.. o.. | 1 * * | 2 2 0 0 | 4 0 .o. .o. | * 2 * | 1 0 2 0 | 2 1 ..o ..o | * * 2 | 0 1 2 1 | 2 2 -----------+-------+---------+---- oo. oo.&#x | 1 1 0 | 2 * * * | 2 0 o.o o.o&#x | 1 0 1 | * 2 * * | 2 0 .oo .oo&#x | 0 1 1 | * * 4 * | 1 1 ... ..x | 0 0 2 | * * * 1 | 0 2 -----------+-------+---------+---- ooo ooo&#x | 1 1 1 | 1 1 1 0 | 4 * ... .ox&#x | 0 1 2 | 0 0 2 1 | * 2
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