Acronym | ... |
Name | triaugmented trigonal mibdi-laced wedge |
centered at top line (layer a): © centered at bottom trip (layer d): © | |
Circumradius | ... |
Lace city in approx. ASCII-art |
o3o o3o a o3x x3o b x3o c f3o o3x d o3x e |
Coordinates |
|
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Face vector | 20, 82, 112, 50 |
Confer |
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This polychoron is obtained as triaugmentation of xfox oxfo3ooox&#xt, the trigonal mibdi-laced wedge. In fact it can be seen as the external blend of the latter with 3 mibdipies. The result still is CRF. (The individual augmentations are fully independant, similar ones with just one or two augmentation tips would exist too.)
Incidence matrix according to Dynkin symbol
xofox ooxfo3oxoox&#xt → height(1,2) = sqrt(5/12) = 0.645497 height(2,3) = sqrt((7-3 sqrt(5))/24) = 0.110264 height(3,4) = sqrt[(3+sqrt(5))/24] = 0.467086 height(4,5) = sqrt(3)/6 = 1/sqrt(12) = 0.288675 o.... o....3o.... | 2 * * * * | 1 3 3 0 0 0 0 0 0 0 0 0 | 3 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 3 1 0 0 0 0 0 0 0 a .o... .o...3.o... | * 3 * * * | 0 2 0 4 2 2 0 0 0 0 0 0 | 1 0 4 0 2 4 4 4 1 0 0 0 0 0 0 0 0 | 2 2 0 2 4 2 0 0 0 0 b ..o.. ..o..3..o.. | * * 6 * * | 0 0 1 2 0 0 2 1 2 0 0 0 | 0 1 2 2 2 2 2 0 0 1 2 2 1 0 0 0 0 | 2 2 1 2 2 0 1 1 0 0 c ...o. ...o.3...o. | * * * 3 * | 0 0 0 0 2 0 0 2 0 4 0 0 | 0 1 0 0 0 4 0 4 0 0 0 4 0 2 2 0 0 | 2 0 0 0 4 2 0 2 1 0 d ....o ....o3....o | * * * * 6 | 0 0 0 0 0 1 0 0 2 2 1 2 | 0 0 0 0 0 0 2 2 1 0 1 2 2 2 2 2 1 | 0 0 0 1 2 2 1 2 2 1 e ----------------------+-----------+----------------------------+----------------------------------------+--------------------- x.... ..... ..... | 2 0 0 0 0 | 1 * * * * * * * * * * * | 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 oo... oo...3oo...&#x | 1 1 0 0 0 | * 6 * * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 0 0 0 0 o.o.. o.o..3o.o..&#x | 1 0 1 0 0 | * * 6 * * * * * * * * * | 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 0 0 0 0 0 0 0 .oo.. .oo..3.oo..&#x | 0 1 1 0 0 | * * * 12 * * * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 1 0 0 0 0 0 .o.o. .o.o.3.o.o.&#x | 0 1 0 1 0 | * * * * 6 * * * * * * * | 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 | 1 0 0 0 2 1 0 0 0 0 .o..o .o..o3.o..o&#x | 0 1 0 0 1 | * * * * * 6 * * * * * * | 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 | 0 0 0 1 2 2 0 0 0 0 ..... ..x.. ..... | 0 0 2 0 0 | * * * * * * 6 * * * * * | 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0 1 0 0 0 ..oo. ..oo.3..oo.&#x | 0 0 1 1 0 | * * * * * * * 6 * * * * | 0 1 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 | 2 0 0 0 2 0 0 1 0 0 ..o.o ..o.o3..o.o&#x | 0 0 1 0 1 | * * * * * * * * 12 * * * | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 | 0 0 0 1 1 0 1 1 0 0 ...oo ...oo3...oo&#x | 0 0 0 1 1 | * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 | 0 0 0 0 1 1 0 1 1 0 ....x ..... ..... | 0 0 0 0 2 | * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 2 0 | 0 0 0 0 0 2 0 0 2 1 ..... ..... ....x | 0 0 0 0 2 | * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 0 0 1 1 1 1 ----------------------+-----------+----------------------------+----------------------------------------+--------------------- xo... ..... .....&#x | 2 1 0 0 0 | 1 2 0 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 x.fo. ..... .....&#xt | 2 0 2 1 0 | 1 0 2 0 0 0 0 2 0 0 0 0 | * 3 * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0 0 0 ooo.. ooo..3ooo..&#x | 1 1 1 0 0 | 0 1 1 1 0 0 0 0 0 0 0 0 | * * 12 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 ..... o.x.. .....&#x | 1 0 2 0 0 | 0 0 2 0 0 0 1 0 0 0 0 0 | * * * 6 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 ..... .ox.. .....&#x | 0 1 2 0 0 | 0 0 0 2 0 0 1 0 0 0 0 0 | * * * * 6 * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 .ooo. .ooo.3.ooo.&#x | 0 1 1 1 0 | 0 0 0 1 1 0 0 1 0 0 0 0 | * * * * * 12 * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 0 .oo.o .oo.o3.oo.o&#x | 0 1 1 0 1 | 0 0 0 1 0 1 0 0 1 0 0 0 | * * * * * * 12 * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 .o.oo .o.oo3.o.oo&#x | 0 1 0 1 1 | 0 0 0 0 1 1 0 0 0 1 0 0 | * * * * * * * 12 * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 .o..x ..... .....&#x | 0 1 0 0 2 | 0 0 0 0 0 2 0 0 0 0 1 0 | * * * * * * * * 3 * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 ..... ..x..3..o.. | 0 0 3 0 0 | 0 0 0 0 0 0 3 0 0 0 0 0 | * * * * * * * * * 2 * * * * * * * | 0 0 1 0 0 0 1 0 0 0 ..... ..x.o .....&#x | 0 0 2 0 1 | 0 0 0 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * 6 * * * * * * | 0 0 0 1 0 0 1 0 0 0 ..ooo ..ooo3..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 1 1 1 0 0 | * * * * * * * * * * * 12 * * * * * | 0 0 0 0 1 0 0 1 0 0 ..... ..... ..o.x&#x | 0 0 1 0 2 | 0 0 0 0 0 0 0 0 2 0 0 1 | * * * * * * * * * * * * 6 * * * * | 0 0 0 0 0 0 1 1 0 0 ...ox ..... .....&#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 1 0 0 1 0 ..... ..... ...ox&#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * * * * * 6 * * | 0 0 0 0 0 0 0 1 1 0 ....x ..... ....x | 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 0 1 1 ..... ....o3....x | 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 1 0 0 1 ----------------------+-----------+----------------------------+----------------------------------------+--------------------- xofo. ..... .....&#xr ♦ 2 1 2 1 0 | 1 2 2 2 1 0 0 2 0 0 0 0 | 1 1 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 6 * * * * * * * * * cycle: (1342) ..... oox.. .....&#x ♦ 1 1 2 0 0 | 0 1 2 2 0 0 1 0 0 0 0 0 | 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * ..... o.x..3o.o..&#x ♦ 1 0 3 0 0 | 0 0 3 0 0 0 3 0 0 0 0 0 | 0 0 0 3 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * 2 * * * * * * * ..... .ox.o .....&#x ♦ 0 1 2 0 1 | 0 0 0 2 0 1 1 0 2 0 0 0 | 0 0 0 0 1 0 2 0 0 0 1 0 0 0 0 0 0 | * * * 6 * * * * * * .oooo .oooo3.oooo&#x ♦ 0 1 1 1 1 | 0 0 0 1 1 1 0 1 1 1 0 0 | 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 | * * * * 12 * * * * * .o.ox ..... .....&#x ♦ 0 1 0 1 2 | 0 0 0 0 1 2 0 0 0 2 1 0 | 0 0 0 0 0 0 0 2 1 0 0 0 0 1 0 0 0 | * * * * * 6 * * * * ..... ..x.o3..o.x&#x ♦ 0 0 3 0 3 | 0 0 0 0 0 0 3 0 6 0 0 3 | 0 0 0 0 0 0 0 0 0 1 3 0 3 0 0 0 1 | * * * * * * 2 * * * ..... ..... ..oox&#x ♦ 0 0 1 1 2 | 0 0 0 0 0 0 0 1 2 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 | * * * * * * * 6 * * ...ox ..... ...ox&#x ♦ 0 0 0 1 4 | 0 0 0 0 0 0 0 0 0 4 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 | * * * * * * * * 3 * ....x ....o3....x ♦ 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * 1
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