| Vertices: | 14 (14[4]) |
| Faces: | 16 (14 equilateral triangles + 2 regular 7/2 heptagrams) |
| Edges: | 28 |
| Symmetry: | 7-fold Prismatic (D7h) |
| Heptagram-Triangle Angle: | acos(−sqrt(root[27*(x^3)−189*(x^2)+105*x−7]))
= acos(−tan(π/7)/sqrt(3)) | ≈106.143095674951 degrees |
| Triangle-Triangle Angle: | acos(−root[27*(x^3)+45*(x^2)−3*x−13])
= acos(−(4*cos(2*π/7)−1)/3) | ≈119.866870637 degrees |
| Dual Solid: | Heptagrammic 7/2 Trapezohedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(root[448*(x^3)−560*(x^2)+224*x−29])
= sqrt(cot(π/7)*cot(π/7)+5)/4 | ≈0.762886832630777840947 |
| Midscribed Radius: | sqrt(root[448*(x^3)−224*(x^2)+28*x−1])
= 1/(4*sin(π/7)) | ≈0.57619121774062162631 |
| Heptagram Center Radius: | sqrt(root[64*(x^3)+48*(x^2)−16*x+1])
= sqrt(cos(2*π/7)−cos(π/7)/2) | ≈0.41593913966772106046 |
| Triangle Center Radius: | sqrt(root[12096*(x^3)−3024*(x^2)+1])
= sqrt((3*cot(π/7)*cot(π/7)−1)/48) | ≈0.49866119366568631016 |