Acronym pabaud, J59
Name parabiaugmented 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   taud  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld

Incidence matrix according to Dynkin symbol


oxfooo5ooofxo&#xt   → height(1,2) = height(3,4) = height(5,6) = sqrt((5-sqrt(5))/10) = 0.525731
                      height(2,3) = height(4,5) = sqrt[(5+sqrt(5))/10] = 0.850651
(pt || pseudo {5} || pseudo f-{5} || pseudo dual f-{5} || pseudo dual {5} || pt)

o.....5o.....     | 1 * * * * * | 5 0 0  0 0 0 0 | 5 0 0 0
.o....5.o....     | * 5 * * * * | 1 2 1  0 0 0 0 | 2 2 0 0
..o...5..o...     | * * 5 * * * | 0 0 1  2 0 0 0 | 0 2 1 0
...o..5...o..     | * * * 5 * * | 0 0 0  2 1 0 0 | 0 1 2 0
....o.5....o.     | * * * * 5 * | 0 0 0  0 1 2 1 | 0 0 2 2
.....o5.....o     | * * * * * 1 | 0 0 0  0 0 0 5 | 0 0 0 5
------------------+-------------+----------------+--------
oo....5oo....&#x  | 1 1 0 0 0 0 | 5 * *  * * * * | 2 0 0 0
.x.... ......     | 0 2 0 0 0 0 | * 5 *  * * * * | 1 1 0 0
.oo...5.oo...&#x  | 0 1 1 0 0 0 | * * 5  * * * * | 0 2 0 0
..oo..5..oo..&#x  | 0 0 1 1 0 0 | * * * 10 * * * | 0 1 1 0
...oo.5...oo.&#x  | 0 0 0 1 1 0 | * * *  * 5 * * | 0 0 2 0
...... ....x.     | 0 0 0 0 2 0 | * * *  * * 5 * | 0 0 1 1
....oo5....oo&#x  | 0 0 0 0 1 1 | * * *  * * * 5 | 0 0 0 2
------------------+-------------+----------------+--------
ox.... ......&#x  | 1 2 0 0 0 0 | 2 1 0  0 0 0 0 | 5 * * *
.xfo.. ......&#xt | 0 2 2 1 0 0 | 0 1 2  2 0 0 0 | * 5 * *
...... ..ofx.&#xt | 0 0 1 2 2 0 | 0 0 0  2 2 1 0 | * * 5 *
...... ....xo&#x  | 0 0 0 0 2 1 | 0 0 0  0 0 1 2 | * * * 5
or
o.....5o.....      & | 2  *  * |  5  0  0  0 |  5  0
.o....5.o....      & | * 10  * |  1  2  1  0 |  2  2
..o...5..o...      & | *  * 10 |  0  0  1  2 |  0  3
---------------------+---------+-------------+------
oo....5oo....&#x   & | 1  1  0 | 10  *  *  * |  2  0
.x.... ......      & | 0  2  0 |  * 10  *  * |  1  1
.oo...5.oo...&#x   & | 0  1  1 |  *  * 10  * |  0  2
..oo..5..oo..&#x     | 0  0  2 |  *  *  * 10 |  0  2
---------------------+---------+-------------+------
ox.... ......&#x   & | 1  2  0 |  2  1  0  0 | 10  *
.xfo.. ......&#xt  & | 0  2  3 |  0  1  2  2 |  * 10

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