Acronym | pabauhip, J55 |
Name | parabiaugmented hexagonal prism |
© © | |
Vertex figure | [34], [32,4,6], [42,6] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Face vector | 14, 26, 14 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
oxxxo oxuxo&#xt → outer heights = 1/sqrt(2) = 0.707107 inner heights = sqrt(3)/2 = 0.866025 (pt || pseudo {4} || pseudo (x,u)-{4} || pseudo {4} || pt) o.... o.... | 1 * * * * | 4 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 .o... .o... | * 4 * * * | 1 1 1 1 0 0 0 0 0 | 1 1 1 1 0 0 0 ..o.. ..o.. | * * 4 * * | 0 0 0 1 1 1 0 0 0 | 0 0 1 1 1 0 0 ...o. ...o. | * * * 4 * | 0 0 0 0 0 1 1 1 1 | 0 0 0 1 1 1 1 ....o ....o | * * * * 1 | 0 0 0 0 0 0 0 0 4 | 0 0 0 0 0 2 2 ----------------+-----------+-------------------+-------------- oo... oo...&#x | 1 1 0 0 0 | 4 * * * * * * * * | 1 1 0 0 0 0 0 .x... ..... | 0 2 0 0 0 | * 2 * * * * * * * | 1 0 1 0 0 0 0 ..... .x... | 0 2 0 0 0 | * * 2 * * * * * * | 0 1 0 1 0 0 0 .oo.. .oo..&#x | 0 1 1 0 0 | * * * 4 * * * * * | 0 0 1 1 0 0 0 ..x.. ..... | 0 0 2 0 0 | * * * * 2 * * * * | 0 0 1 0 1 0 0 ..oo. ..oo.&#x | 0 0 1 1 0 | * * * * * 4 * * * | 0 0 0 1 1 0 0 ...x. ..... | 0 0 0 2 0 | * * * * * * 2 * * | 0 0 0 0 1 1 0 ..... ...x. | 0 0 0 2 0 | * * * * * * * 2 * | 0 0 0 1 0 0 1 ...oo ...oo&#x | 0 0 0 1 1 | * * * * * * * * 4 | 0 0 0 0 0 1 1 ----------------+-----------+-------------------+-------------- ox... .....&#x | 1 2 0 0 0 | 2 1 0 0 0 0 0 0 0 | 2 * * * * * * ..... ox...&#x | 1 2 0 0 0 | 2 0 1 0 0 0 0 0 0 | * 2 * * * * * .xx.. .....&#x | 0 2 2 0 0 | 0 1 0 2 1 0 0 0 0 | * * 2 * * * * ..... .xux.&#xt | 0 2 2 2 0 | 0 0 1 2 0 2 0 1 0 | * * * 2 * * * ..xx. .....&#x | 0 0 2 2 0 | 0 0 0 0 1 2 1 0 0 | * * * * 2 * * ...xo .....&#x | 0 0 0 2 1 | 0 0 0 0 0 0 1 0 2 | * * * * * 2 * ..... ...xo&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 1 2 | * * * * * * 2
or o.... o.... & | 2 * * | 4 0 0 0 0 | 2 2 0 0 .o... .o... & | * 8 * | 1 1 1 1 0 | 1 1 1 1 ..o.. ..o.. | * * 4 | 0 0 0 2 1 | 0 0 2 1 -------------------+-------+-----------+-------- oo... oo...&#x & | 1 1 0 | 8 * * * * | 1 1 0 0 .x... ..... & | 0 2 0 | * 4 * * * | 1 0 1 0 ..... .x... & | 0 2 0 | * * 4 * * | 0 1 0 1 .oo.. .oo..&#x & | 0 1 1 | * * * 8 * | 0 0 1 1 ..x.. ..... | 0 0 2 | * * * * 2 | 0 0 2 0 -------------------+-------+-----------+-------- ox... .....&#x & | 1 2 0 | 2 1 0 0 0 | 4 * * * ..... ox...&#x & | 1 2 0 | 2 0 1 0 0 | * 4 * * .xx.. .....&#x & | 0 2 2 | 0 1 0 2 1 | * * 4 * ..... .xux.&#xt | 0 4 2 | 0 0 2 4 0 | * * * 2
(xu)o(xu) (ho)A(ho)&#xt → both heights = 1/2 A = h+q = sqrt(3)+sqrt(2) = 3.146264 ({6} || pseudo A-line || {6}) (o.).(..) (o.).(..) & | 8 * * | 1 1 1 1 0 | 1 1 1 1 (.o).(..) (.o).(..) & | * 4 * | 0 2 0 0 1 | 1 0 0 2 (..)o(..) (..)o(..) | * * 2 | 0 0 4 0 0 | 0 2 2 0 --------------------------+-------+-----------+-------- (x.).(..) (..).(..) & | 2 0 0 | 4 * * * * | 1 1 0 0 (oo).(..) (oo).(..)&#x & | 1 1 0 | * 8 * * * | 1 0 0 1 (o.)o(..) (o.)o(..)&#x & | 1 0 1 | * * 8 * * | 0 1 1 0 (o.).(o.) (o.).(o.)&#x | 2 0 0 | * * * 4 * | 0 0 1 1 (.o).(.o) (.o).(.o)&#x | 0 2 0 | * * * * 2 | 0 0 0 2 --------------------------+-------+-----------+-------- (xu).(..) (ho).(..)&#zx & | 4 2 0 | 2 4 0 0 0 | 2 * * * {6} (x.)o(..) (..).(..)&#x & | 2 0 1 | 1 0 2 0 0 | * 4 * * (o.)o(o.) (o.)o(o.)&#x | 2 0 1 | 0 0 2 1 0 | * * 4 * (oo).(oo) (oo).(oo)&#xr | 2 2 0 | 0 2 0 1 1 | * * * 4
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