Acronym ...
Name edge faceting raded-1-10-5-5
 
Circumradius sqrt(7)/2 = 1.322876
Vertex figure [4,5,6], [4,5,4,5/2], [4,6,4/3,6/5]/0
Confer
faceting of:
raded  
blends:
12 raded-1-10-5-5  
External
links
Polyedergarten
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It should be noted here, that the squares are situated fully within the mirror planes underneath the edges of doe. Accordingly there could be constructed an (centrally hollow) external blend from 12 such self-intersecting polyhedra (12 raded-1-10-5-5), blending out half of their squares, cf. the picture at the right.


Incidence matrix according to Dynkin symbol

reduced( xxux5/2ofxx&#xt , by {10/2} )   → height(1,2) = sqrt[(5-sqrt(5))/10] = 0.525731
                                           height(2,3) = sqrt[(9 sqrt(5)-15)/10] = 0.715864
                                           height(3,4) = sqrt[(5+sqrt(5))/10] = 0.850651

o...5/2o...      | 5  *  * * | 2  2 0  0 0  0 0 | 1 2 1 0 0  [4,5,4,5/2]
.o..5/2.o..      | * 10  * * | 0  1 1  1 0  0 0 | 0 1 1 1 0  [4,5,6]
..o.5/2..o.      | *  * 10 * | 0  0 0  1 1  1 0 | 0 0 1 1 1  [4,5,6]
...o5/2...o      | *  *  * 5 | 0  0 0  0 0  2 2 | 0 0 0 2 2  [4,6,4/3,6/5]/0
-----------------+-----------+------------------+----------
x...   ....      | 2  0  0 0 | 5  * *  * *  * * | 1 1 0 0 0
oo..5/2oo..&#x   | 1  1  0 0 | * 10 *  * *  * * | 0 1 1 0 0
.x..   ....      | 0  2  0 0 | *  * 5  * *  * * | 0 1 0 1 0
.oo.5/2.oo.&#x   | 0  1  1 0 | *  * * 10 *  * * | 0 0 1 1 0
....   ..x.      | 0  0  2 0 | *  * *  * 5  * * | 0 0 1 0 1
..oo5/2..oo&#x   | 0  0  1 1 | *  * *  * * 10 * | 0 0 0 1 1
...x   ....    & | 0  0  0 2 | *  * *  * *  * 5 | 0 0 0 1 1
-----------------+-----------+------------------+----------
x...5/2o...      | 5  0  0 0 | 5  0 0  0 0  0 0 | 1 * * * *
xx..   ....&#x   | 2  2  0 0 | 1  2 1  0 0  0 0 | * 5 * * *
....   ofx.&#xt  | 1  2  2 0 | 0  2 0  2 1  0 0 | * * 5 * *
.xux   ....&#xt  | 0  2  2 2 | 0  0 1  2 0  2 1 | * * * 5 *
....   ..xx&#x   | 0  0  2 2 | 0  0 0  0 1  2 1 | * * * * 5

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