Acronym  ... 
Name 
cell of gap dual, adjacent bikis doe 
©  
Vertex figure  [5^{3}], [5^{2},K], [5,K^{2}], [5,K,T], [k^{2},t^{2}] 
Lace city in approx. ASCIIart 
o o f f o o x x v 
f v v f x x o o  
Dihedral angles
(at margins) 

Confer 
This polyhedron can also be obtained as a stellation of doe by blending at 2 neighbouring pentagons with tall pyramids, which are the tips of sissid and then inserting inbetween a wedge type simplex, as is used for gad.
The faces are regular pentagons of side v = (sqrt(5)1)/2 = 0.618034; kites {(k,K,K,K)} with corner angle k = 36° and K = 108°, where side KK has size v again, diagonal KK has size x = 1, side kK has size f = (1+sqrt(5))/2 = 1.618034, and the diagonal kK has size sqrt[(5+sqrt(5))/2] = 1.902113; and trapzia {(t,t,T,T)} with corner angle t = 72° and T = 108°, where the side TT has size v again, while the other sides tT and tt have both size f again.
Incidence matrix according to Dynkin symbol
ofoxv fvfxo&#(f,v)t → height(1,2) = (3+sqrt(5))/4 = 1.309017 height(2,3) = height(4,5) = (sqrt(5)1)/4 = 0.309017 height(3,4) = (3sqrt(5))/4 = 0.190983 o.... o....  2 * * * *  1 2 1 0 0 0 0 0  2 2 0 0 [k^{2},t^{2}] .o... .o...  * 4 * * *  0 1 0 1 1 0 0 0  1 1 1 0 [5,K,T] ..o.. ..o..  * * 2 * *  0 0 1 0 0 2 0 0  0 2 0 1 [5,K^{2}] ...o. ...o.  * * * 4 *  0 0 0 0 1 1 1 0  0 1 1 1 [5^{2},K] ....o ....o  * * * * 2  0 0 0 0 0 0 2 1  0 0 1 2 [5^{3}] +++ ..... f....  2 0 0 0 0  1 * * * * * * *  2 0 0 0 oo... oo...&#f  1 1 0 0 0  * 4 * * * * * *  1 1 0 0 o.o.. o.o..&#f  1 0 1 0 0  * * 2 * * * * *  0 2 0 0 ..... .v...  0 2 0 0 0  * * * 2 * * * *  1 0 1 0 .o.o. .o.o.&#v  0 1 0 1 0  * * * * 4 * * *  0 1 1 0 ..oo. ..oo.&#v  0 0 1 1 0  * * * * * 4 * *  0 1 0 1 ...oo ...oo&#v  0 0 0 1 1  * * * * * * 4 *  0 0 1 1 ....v .....  0 0 0 0 2  * * * * * * * 1  0 0 0 2 +++ ..... fv...&#f  2 2 0 0 0  1 2 0 1 0 0 0 0  2 * * * {(t,t,T,T)} oooo. oooo.&#r(f,v)  1 1 1 1 0  0 1 1 0 1 1 0 0  * 4 * * {(k,K,K,K)}, cycle (a,b,d,c) ..... .v.xo&#vt  0 2 0 2 1  0 0 0 1 2 0 2 0  * * 2 * {5} ..oxv .....&#vt  0 0 1 2 2  0 0 0 0 0 2 2 1  * * * 2 {5}
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