Acronym	autut, J65
Name	augmented truncated tetrahedron
	© ©
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	blend-component: tricu   tut   general polytopal classes: Johnson solids
External links

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