| Acronym | autut, J65 |
| Name | augmented truncated tetrahedron |
| VRML |
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| Vertex figure | [(3,4)2], [3,4,3,6], [3,62] |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Face vector | 15, 27, 14 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
xxoo3oxux&#xt → all heights = sqrt(2/3) = 0.816497
({3} || pseudo {6} || pseudo dual u-{3} || dual {3})
o...3o... | 3 * * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 0
.o..3.o.. | * 6 * * | 0 1 1 1 1 0 0 | 0 1 1 1 1 0
..o.3..o. | * * 3 * | 0 0 0 0 2 1 0 | 0 0 0 1 2 0
...o3...o | * * * 3 | 0 0 0 0 0 1 2 | 0 0 0 0 2 1
--------------+---------+---------------+------------
x... .... | 2 0 0 0 | 3 * * * * * * | 1 1 0 0 0 0
oo..3oo..&#x | 1 1 0 0 | * 6 * * * * * | 0 1 1 0 0 0
.x.. .... | 0 2 0 0 | * * 3 * * * * | 0 1 0 0 1 0
.... .x.. | 0 2 0 0 | * * * 3 * * * | 0 0 1 1 0 0
.oo.3.oo.&#x | 0 1 1 0 | * * * * 6 * * | 0 0 0 1 1 0
..oo3..oo&#x | 0 0 1 1 | * * * * * 3 * | 0 0 0 0 2 0
.... ...x | 0 0 0 2 | * * * * * * 3 | 0 0 0 0 1 1
--------------+---------+---------------+------------
x...3o... | 3 0 0 0 | 3 0 0 0 0 0 0 | 1 * * * * *
xx.. ....&#x | 2 2 0 0 | 1 2 1 0 0 0 0 | * 3 * * * *
.... ox..&#x | 1 2 0 0 | 0 2 0 1 0 0 0 | * * 3 * * *
.xo. ....&#x | 0 2 1 0 | 0 0 0 1 2 0 0 | * * * 3 * *
.... .xux&#xt | 0 2 2 2 | 0 0 1 0 2 2 1 | * * * * 3 *
...o3...x | 0 0 0 3 | 0 0 0 0 0 0 3 | * * * * * 1
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