Acronym mabaud, J60
Name metabiaugmented dodecahedron
 
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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   taud  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld

Incidence matrix

2 * * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0  top
* 2 * * * * * * | 0 1 0 2 2 0 0 0 0 0 0 0 0 | 0 2 2 1 0 0 0  apices
* * 4 * * * * * | 0 0 1 1 0 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0 0
* * * 2 * * * * | 0 0 0 0 0 2 0 1 0 0 0 0 0 | 1 0 0 0 2 0 0
* * * * 4 * * * | 0 0 0 0 1 0 1 0 1 1 0 0 0 | 0 0 1 1 1 1 0
* * * * * 2 * * | 0 0 0 0 0 0 0 1 0 0 2 0 0 | 0 0 0 0 2 0 1
* * * * * * 4 * | 0 0 0 0 0 0 0 0 0 1 1 1 0 | 0 0 0 0 1 1 1
* * * * * * * 2 | 0 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 0 0 1 2  bottom
----------------+---------------------------+--------------
2 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 2 0 0 0 0 0 0  top
1 1 0 0 0 0 0 0 | * 2 * * * * * * * * * * * | 0 2 0 0 0 0 0
1 0 1 0 0 0 0 0 | * * 4 * * * * * * * * * * | 1 1 0 0 0 0 0
0 1 1 0 0 0 0 0 | * * * 4 * * * * * * * * * | 0 1 1 0 0 0 0
0 1 0 0 1 0 0 0 | * * * * 4 * * * * * * * * | 0 0 1 1 0 0 0
0 0 1 1 0 0 0 0 | * * * * * 4 * * * * * * * | 1 0 0 0 1 0 0
0 0 1 0 1 0 0 0 | * * * * * * 4 * * * * * * | 0 0 1 0 1 0 0
0 0 0 1 0 1 0 0 | * * * * * * * 2 * * * * * | 0 0 0 0 2 0 0  vertical
0 0 0 0 2 0 0 0 | * * * * * * * * 2 * * * * | 0 0 0 1 0 1 0  horizontal
0 0 0 0 1 0 1 0 | * * * * * * * * * 4 * * * | 0 0 0 0 1 1 0
0 0 0 0 0 1 1 0 | * * * * * * * * * * 4 * * | 0 0 0 0 1 0 1
0 0 0 0 0 0 1 1 | * * * * * * * * * * * 4 * | 0 0 0 0 0 1 1
0 0 0 0 0 0 0 2 | * * * * * * * * * * * * 1 | 0 0 0 0 0 0 2  bottom
----------------+---------------------------+--------------
2 0 2 1 0 0 0 0 | 1 0 2 0 0 2 0 0 0 0 0 0 0 | 2 * * * * * *  upper {5}
1 1 1 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 0 0 0 0 | * 4 * * * * *  upper {3}
0 1 1 0 1 0 0 0 | 0 0 0 1 1 0 1 0 0 0 0 0 0 | * * 4 * * * *  medial {3}
0 1 0 0 2 0 0 0 | 0 0 0 0 2 0 0 0 1 0 0 0 0 | * * * 2 * * *  lower {3}
0 0 1 1 1 1 1 0 | 0 0 0 0 0 1 1 1 0 1 1 0 0 | * * * * 4 * *  medial {5}
0 0 0 0 2 0 2 1 | 0 0 0 0 0 0 0 0 1 2 0 2 0 | * * * * * 2 *  {5} below apex
0 0 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 0 0 2 2 1 | * * * * * * 2  lowest {5}

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