Acronym  pakid 
Name 
pentakis dodecahedron, apiculated dodecahedron 
© © (compound with its dual)  
Vertex figure  [t^{6}], [T^{5}] 
Dihedral angles 

Dual  ti 
External links 
The triangles {(t,t,T)} have vertex angles t = arccos[(9sqrt(5))/12] = 55.690640° resp. T = arccos[(9 sqrt(5)7)/36] = 68.618721°.
Edge sizes used here are tT = x = 1 (short) resp. tt = a = (9sqrt(5))/6 = 1.127322 (long).
Incidence matrix according to Dynkin symbol
m3m5o = fo3oo5oa&#zx → height = 0 a = (9sqrt(5))/6 = 1.127322 o.3o.5o.  12 *  5 0  5 [T^{5}] .o3.o5.o  * 20  3 3  6 [t^{6}] +++ oo3oo5oo&#x  1 1  60 *  2 x .. .. .a  0 2  * 30  2 b +++ .. .. oa&#x  1 2  2 1  60 {(t,t,T)}
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