Acronym  ... 
Name  edge faceting sidtid0333 
 
Circumradius  sqrt(3)/2 = 0.866025 
Vertex figure  [(3,5)^{3}]/2, [3,4,5], [4,5,4/3,5/4]/0 
Confer 

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This polyhedron is an edgefaceting of the small ditrigonary icosidodecahedron (sidtid).
It should be noted here, that the squares are situated fully within the mirror planes underneath the edges of ike. Accordingly there could be constructed an (centrally hollow) external blend from 20 such selfintersecting polyhedra (20 sidtid0333), blending out all their squares, cf. the picture at the right (as if one each would be stuck onto each tip of an pseudo f^{3}gissid).
Incidence matrix according to Dynkin symbol
reduced( oxx3/2ofx&#xt , by {6/2} ) → height(1,2) = 1/sqrt(3) = 0.577350 height(2,3) = (1+sqrt(5))/sqrt(12) = 0.934172 o..3/2o..  1 * *  6 0 0 0  3 0 3 [(3,5)^{3}]/2 .o.3/2.o.  * 6 *  1 1 1 0  1 1 1 [3,4,5] ..o3/2..o  * * 3  0 0 2 2  0 2 2 [4,5,4/3,5/4]/0 +++ oo.3/2oo.&#x  1 1 0  6 * * *  1 0 1 .x. ...  0 2 0  * 3 * *  1 1 0 .oo3/2.oo&#x  0 1 1  * * 6 *  0 1 1 ..x ... &  0 0 2  * * * 3  0 1 1 +++ ox. ...&#x  1 2 0  2 1 0 0  3 * * .xx ...&#x  0 2 2  0 1 2 1  * 3 * ... ofx&#xt  1 2 2  2 0 2 1  * * 3
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