Acronym  ... 
Name 
pentagonal antidipyramid, pentagonal antitegum, pentagonal kiteohedron, dual of pap, axial bikisdoe, decatruncated sissid 
©  
Vertex figure  [k^{5}], [K^{3}] 
Dihedral angles 

Dual  pap 
Confer  
External links 
Despite the general namings above, only the dual or the kis operation settle the relative height to width ratio. All the measures provided herein will refer to that choice.
The face is kite {(k,K,K,K)} with corner angle k = 36° and K = 108°, where side KK has size v = (sqrt(5)1)/2 = 0.618034, diagonal KK has size x = 1, side kK has size f = (1+sqrt(5))/2 = 1.618034, and diagonal kK has size sqrt[(5+sqrt(5))/2] = 1.902113.
This polyhedron can also be obtained as a stellation of doe by blending at 2 opposite pentagons with tall pyramids, which are the tips of sissid. Alternatively it is also the according decatruncation of the latter.
Incidence matrix according to Dynkin symbol
oxoo5ooxo&#(f,v,f)t → height(1,2) = height(3,4) = sqrt[(5+2 sqrt(5))/5] = 1.376382 height(2,3) = sqrt[(52 sqrt(5))/5] = 0.324920 o...5o...  1 * * *  5 0 0  5 0 [k^{5}] .o..5.o..  * 5 * *  1 2 0  2 1 [K^{3}] ..o.5..o.  * * 5 *  0 2 1  1 2 [K^{3}] ...o5...o  * * * 1  0 0 5  0 5 [k^{5}] +++ oo..5oo..&#f  1 1 0 0  5 * *  2 0 .oo.5.oo.&#v  0 1 1 0  * 10 *  1 1 ..oo5..oo&#f  0 0 1 1  * * 5  0 2 +++ oxo. ....&#(f,v)t  1 2 1 0  2 2 0  5 * {(k,K,K,K)} .... .oxo&#(v,f)t  0 1 2 1  0 2 2  * 5 {(k,K,K,K)}
or o...5o... &  2 *  5 0  5 [k^{5}] .o..5.o.. &  * 10  1 2  3 [K^{3}] +++ oo..5oo..&#f &  1 1  10 *  2 .oo.5.oo.&#v  0 2  * 10  2 +++ oxo. ....&#(v,f)t &  1 3  2 2  10 {(k,K,K,K)}
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