Acronym taud, J61
Name metabiaugmented 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°
Confer
uniform relatives:
doe   ike  
related Johnson solids:
peppy   aud   mabaud   pabaud  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld

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}

© 2004-2018
top of page