Self-Intersecting Snub Quasi-Regular Duals

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Medial Hexagonal Hexecontahedron
Vertices:  104  (80[3] + 12[5] + 12[5])
Faces:60  (irregular hexagons)
Edges:180  (60 short + 60 medium + 60 long)
Symmetry:  Chiral Icosahedral  (I)
Dihedral Angle:  acos(−(cbrt(4*(371+33*sqrt(69)))    
    +cbrt(4*(371−33*sqrt(69)))−1)/33)    
≈127.320132198 degrees
Dual Solid:  Snub Icosidodecadodecahedron
(values below based on unit-edge-length Snub Icosidodecadodecahedron)
Short Edge (60):  sqrt(root[9025*(x^6)−20595*(x^5)+12234*(x^4)    
    −3248*(x^3)+455*(x^2)−61*x+1])    
≈0.13664066921890200010
Medium Edge (60):  sqrt(30*(16−cbrt(4*(101+15*sqrt(69)))    
    +cbrt(4*(15*sqrt(69)−101))))/30    
≈0.60248860980957316449
Long Edge (60):  sqrt(root[9025*(x^6)−20595*(x^5)+12234*(x^4)    
    −3248*(x^3)+455*(x^2)−61*x+1])    
≈1.2415629839005475092
[5]-Vertex Radius (12):  sqrt(root[1478656*(x^6)−4720640*(x^5)    
    +4015360*(x^4)−752000*(x^3)    
    +24800*(x^2)+2000*x+125])    
≈1.0232268872316985362
[3]-Vertex Radius (80):  sqrt(10*(22+cbrt(4*(367+15*sqrt(69)))    
    +cbrt(4*(367−15*sqrt(69)))))/20    
≈1.0538724007727063168
[5]-Vertex Radius (12):  sqrt(root[1478656*(x^6)−4720640*(x^5)    
    +4015360*(x^4)−752000*(x^3)    
    +24800*(x^2)+2000*x+125])    
≈1.3798906202816194874
Edge-scribed Radius:  sqrt(6*(10+cbrt(4*(97+3*sqrt(69)))    
    +cbrt(4*(97−3*sqrt(69)))))/12    
≈1.0099004435452336687
Inscribed Radius:  sqrt(66*(78+cbrt(12*(27765+539*sqrt(69)))    
    +cbrt(12*(27765−539*sqrt(69)))))/132    
≈0.90504995553570129361