Dipyramids & Trapezohedra

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Hexagonal Trapezohedron
Vertices:  14  (12[3] + 2[6])
Faces:12  (tri-equiangular kites)
Edges:24  (12 short + 12 long)
Symmetry:  6-fold Antiprismatic  (D6v)
Dihedral Angle:  acos(−sqrt(3)/3)    ≈125.264389683 degrees
Dual Solid:  Hexagonal Antiprism
(values below based on unit-edge-length Hexagonal Antiprism)
Short Edge (12):  sqrt(2*(sqrt(3)−1))/2    ≈0.60500033370605560912
Long Edge (12):  sqrt(2*(5+3*sqrt(3)))/2    ≈2.2578919839871250892
[3]-Vertex Radius (12):  sqrt(6*(1+sqrt(3)))/4    ≈1.0121852858238599119
[6]-Vertex Radius (2):  sqrt(2*(19+11*sqrt(3)))/4    ≈2.1809561803042275426
Edge-scribed Radius:  (sqrt(2)+sqrt(6))/4    ≈0.9659258262890682867497
Inscribed Radius:  sqrt(6*(9+5*sqrt(3)))/12    ≈0.85781345189004590639
Volume:sqrt(2*(19+11*sqrt(3)))/2    ≈4.3619123606084550853