Derived Solids

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Tetrakis Snub Cube (laevo) (canonical)
canonical form
Vertices:  30  (6[4] + 24[6])
Faces:56  (32 equilateral triangles + 24 isosceles triangles)
Edges:84  (24 short + 60 long)
Symmetry:  Chiral Octahedral  (O)
Dual Solid:  Hexpropello Cube (dextro)
(values below based on edge-scribed radius = 1)
Short Edge (24):  sqrt(22*(12−cbrt(309*sqrt(33)+1657)    
    −cbrt(309*sqrt(33)−1657)))/11    
≈0.57552506487692747159
Long Edge (60):  2*sqrt(3*(5−cbrt(19+3*sqrt(33))    
    −cbrt(19−3*sqrt(33))))/3    
≈0.801781129201327280647
Edge-scribed Radius:  1
Volume:8*sqrt(33*(cbrt(40032357*sqrt(33)+189022517)    
    −cbrt(40032357*sqrt(33)−189022517)−322))/99    
≈4.1937480738885933766