Acronym  rhote (old: rattic) 
Name 
rhombic triacontahedron, terminally chamfered dodecahedron, terminally chamfered icosahedron, surtegmated dodecahedron, surtegmated icosahedron 
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Inradius  sqrt[(5+2 sqrt(5))/5] = 1.376382 
Vertex figure  [r^{5}], [R^{3}] 
Dual  id 
Dihedral angles
(at margins) 

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The rhombs {(r,R)^{2}} have vertex angles r = arccos(1/sqrt(5)) = 63.434949° resp. R = arccos(1/sqrt(5)) = 116.565051°. Esp. rr : RR = (1+sqrt(5))/2.
All a and b edges, provided in the below description, only qualify as pseudo edges wrt. the full polyhedron. Edge size used here is rR = x = 1.
Incidence matrix according to Dynkin symbol
o3m5o = ao3oo5ob&#zx → height = 0, a = rr = 2 sqrt[(5+sqrt(5))/10] = 1.701302, b = RR = 2 sqrt[(5sqrt(5))/10] = 1.051462 o.3o.5o.  12 *  5  5 [r^{5}] .o3.o5.o  * 20  3  3 [R^{3}] +++ oo3oo5oo&#x  1 1  60  2 +++ ao .. ob&#zx  2 2  4  30 {(r,R)^{2}}
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