| Vertices: | 16 (14[3] + 2[7]) |
| Faces: | 14 (tri-equiangular kites) |
| Edges: | 28 (14 short + 14 long) |
| Symmetry: | 7-fold Antiprismatic (D7v) |
| Dihedral Angle: | acos(root[13*(x^3)−(x^2)−5*x+1])
= acos((4*cos(π/7)+2/cos(π/7)−3)/13) | ≈77.454883809 degrees |
| Dual Solid: | Heptagrammic 7/3 Antiprism |
| (values below based on unit-edge-length Heptagrammic 7/3 Antiprism) |
| Short Edge (14): | sqrt(root[(x^3)−9*(x^2)−x+1])
= sqrt((tan(2*π/7)*tan(2*π/7)−1)/2) | ≈0.534984358851341664354 |
| Long Edge (14): | sqrt(root[(x^3)+3*(x^2)−4*x+1])
= sqrt(3−tan(π/7)*tan(π/7))/2 | ≈0.83187827933544212092 |
| [7]-Vertex Radius (2): | sqrt(root[64*(x^3)−560*(x^2)+56*x+7])
= sqrt(19−30*cos(π/7)+14*cos(2*π/7))/2 | ≈0.41826761437795289827 |
| [3]-Vertex Radius (14): | sqrt(root[64*(x^3)−48*(x^2)−72*x+27])
= sqrt(6*sin(π/14))/2 | ≈0.57773817680197628293 |
| Edge-scribed Radius: | root[8*(x^3)+8*(x^2)−2*x−1]
= cos(π/7)−1/2 | ≈0.40096886790241912624 |
| Inscribed Radius: | sqrt(root[832*(x^3)−944*(x^2)+72*x−1])
= sqrt((62−48*cos(π/7)−11/cos(π/7))/104) | ≈0.25085268881974022101 |