Acronym	taud, J61
Name	triaugmented dodecahedron
	© © ©
Vertex figures	[35], [32,52], [53]
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	between {3} and {5}:   arccos(-sqrt[(65-2 sqrt(5))/75]) = 153.942419° between {3} and {3}:   arccos(-sqrt(5)/3) = 138.189685° between {5} and {5}:   arccos(-1/sqrt(5)) = 116.565051°
Face vector	23, 45, 24
Confer	uniform relatives: doe   ike   related Johnson solids: peppy   aud   mabaud   pabaud   general polytopal classes: Johnson solids
External links

Incidence matrix

1 * * * * * * | 3 0 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0  top [53]
* 3 * * * * * | 1 2 1 0 0 0 0 0 0 0 | 2 2 0 0 0 0  upper [32,52]
* * 6 * * * * | 0 1 0 1 1 1 0 0 0 0 | 1 1 1 1 0 0  medial [32,52]
* * * 3 * * * | 0 0 1 0 2 0 2 0 0 0 | 0 2 2 0 1 0  apices, [35]
* * * * 6 * * | 0 0 0 0 0 1 1 1 1 0 | 0 0 1 1 1 1  lower [32,52]
* * * * * 3 * | 0 0 0 0 0 0 0 0 2 1 | 0 0 0 1 0 2  lower [53]
* * * * * * 1 | 0 0 0 0 0 0 0 0 0 3 | 0 0 0 0 0 3  bottom [53]
--------------+---------------------+------------
1 1 0 0 0 0 0 | 3 * * * * * * * * * | 2 0 0 0 0 0
0 1 1 0 0 0 0 | * 6 * * * * * * * * | 1 1 0 0 0 0
0 1 0 1 0 0 0 | * * 3 * * * * * * * | 0 2 0 0 0 0
0 0 2 0 0 0 0 | * * * 3 * * * * * * | 1 0 0 1 0 0  upper horizontals
0 0 1 1 0 0 0 | * * * * 6 * * * * * | 0 1 1 0 0 0
0 0 1 0 1 0 0 | * * * * * 6 * * * * | 0 0 1 1 0 0
0 0 0 1 1 0 0 | * * * * * * 6 * * * | 0 0 1 0 1 0
0 0 0 0 2 0 0 | * * * * * * * 3 * * | 0 0 0 0 1 1  lower horizontals
0 0 0 0 1 1 0 | * * * * * * * * 6 * | 0 0 0 1 0 1
0 0 0 0 0 1 1 | * * * * * * * * * 3 | 0 0 0 0 0 2
--------------+---------------------+------------
1 2 2 0 0 0 0 | 2 2 0 1 0 0 0 0 0 0 | 3 * * * * *  upper polar {5}
0 1 1 1 0 0 0 | 0 1 1 0 1 0 0 0 0 0 | * 6 * * * *  upper {3}
0 0 1 1 1 0 0 | 0 0 0 0 1 1 1 0 0 0 | * * 6 * * *  medial {3}
0 0 2 0 2 1 0 | 0 0 0 1 0 2 0 0 2 0 | * * * 3 * *  lower tropic {5}
0 0 0 1 2 0 0 | 0 0 0 0 0 0 2 1 0 0 | * * * * 3 *  lower {3}
0 0 0 0 2 2 1 | 0 0 0 0 0 0 0 1 2 2 | * * * * * 3  lower polar {5}