Star Dipyramids & Trapezohedra

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Heptagrammic Concave Trapezohedron
Vertices:  16  (14[3] + 2[7])
Faces:14  (tri-equiangular darts)
Edges:28  (14 short + 14 long)
Symmetry:  7-fold Prismatic  (D7h)
Dihedral Angle:  acos(root[29*(x^3)−25*(x^2)+3*x+1])    
    = acos((4*cos(π/7)−4/cos(π/7)+13)/29)    
≈65.199782304 degrees
Dual Solid:  Heptagrammic Crossed Antiprism
(values below based on unit-edge-length Heptagrammic Crossed Antiprism)
Short Edge (14):  sqrt(root[49*(x^3)−49*(x^2)+7*x+1])    
    = sqrt((1+1/cos(π/7))/7)    
≈0.54901421581578408197
Long Edge (14):  sqrt(root[(x^3)−(x^2)−2*x+1])    
    = sqrt(2*cos(π/7))    
≈1.34236274374881182951
[7]-Vertex Radius (2):  sqrt(root[3136*(x^3)−2352*(x^2)+224*x+1])    
    = sqrt((6−8*cos(π/7)+7/cos(π/7))/56)    
≈0.34230476463661118578
[3]-Vertex Radius (14):  sqrt(root[448*(x^3)−336*(x^2)+27])    
    = sqrt(9−3*tan(π/14)*tan(π/14))/4    
≈0.74345959663231443270
Edge-scribed Radius:  sqrt(root[448*(x^3)−224*(x^2)+28*x−1])    
    = 1/(4*sin(2*π/7))    
≈0.31976200192248315144
Inscribed Radius:  sqrt(root[12992*(x^3)−3024*(x^2)+112*x−1])    
    = sqrt((90−74*sin(π/14)−11/sin(π/14))/812)    
≈0.17227791302733717566