Acronym phexdo
Name partially hexa-expanded dodecahedron
 
 ©
(phexdo is the extremal form of this animation)
Vertex figure [52,r2], [3,r,5,R], [5,R2]
Confer
uniform variant:
doe  
general polytopal classes:
partial Stott expansions  

The vertex angles of the rhombs {(r,R)2} are r = arccos[(sqrt(5)-1+2 sqrt[5-sqrt(5)])/sqrt(32)] = 36.264662° resp. R = arccos[-(sqrt(5)-1+2 sqrt[5-sqrt(5)])/sqrt(32)] = 143.735338°.


Incidence matrix according to Dynkin symbol

xoCBffAoF-2-CxofBfFAo-2-oxCffBoFA-&#zx   → all heights = 0,
where A=x+1/q = 1.707107, B=f+1/q = 2.325141, C=F+1/q = 3.325141

o........-2-o........-2-o........      & | 12  *  * | 1  2  1  0  0 |  2  2 0  [52,r2]
...o.....-2-...o.....-2-...o.....      & |  * 24  * | 0  1  0  2  1 |  1  2 1  [3,r,5,R]
......o..-2-......o..-2-......o..      & |  *  * 12 | 0  0  1  0  2 |  1  2 0  [5,R2]
-----------------------------------------+----------+---------------+--------
x........   .........   .........      & |  2  0  0 | 6  *  *  *  * |  2  0 0
o...o....-2-o...o....-2-o...o....-&#x  & |  1  1  0 | * 24  *  *  * |  1  1 0
o.....o..-2-o.....o..-2-o.....o..-&#x  & |  1  0  1 | *  * 12  *  * |  0  2 0
...oo....-2-...oo....-2-...oo....-&#x  & |  0  2  0 | *  *  * 24  * |  0  1 1
...o..o..-2-...o..o..-2-...o..o..-&#x  & |  0  1  1 | *  *  *  * 24 |  1  1 0
-----------------------------------------+----------+---------------+--------
x...f..o.   .........   .........-&#xt & |  2  2  1 | 1  2  0  0  2 | 12  * *  {5}
o..oo.o..-2-o..oo.o..-2-o..oo.o..-&#xr & |  1  2  1 | 0  1  1  1  1 |  * 24 *  {(r,R)2}, ring: (1547)
...ooo...-2-...ooo...-2-...ooo...-&#x    |  0  3  0 | 0  0  0  3  0 |  *  * 8  {3}

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