| Vertices: | 9 (7[4] + 2[7]) |
| Faces: | 14 (isosceles triangles) |
| Edges: | 21 (7 short + 14 long) |
| Symmetry: | 7-fold Prismatic (D7h) |
| Dihedral Angle: | acos(-root[239*(x^3)−227*(x^2)+45*x−1]) | ≈133.089524326 degrees |
| Dual Solid: | Heptagonal Prism |
| (values below based on unit-edge-length Heptagonal Prism) |
| Short Edge (7): | root[(x^3)−4*(x^2)−4*x+8] = 1/cos(π/7) | ≈1.1099162641747423828 |
| Long Edge (14): | root[7*(x^3)−28*(x^2)+64] = 3−tan(π/14)^2 | ≈2.9479049163983129694 |
| [4]-Vertex Radius (7): | sqrt(root[7*(x^3)−56*(x^2)+112*x−64])
= 1/sin(2*π/7) | ≈1.2790480076899326057 |
| [7]-Vertex Radius (2): | root[7*(x^3)−28*(x^2)+28*x−8]
= 1/(2*(sin(π/7)^2)) | ≈2.6559705552113635356 |
| Edge-scribed Radius: | sqrt(root[7*(x^3)−14*(x^2)+7*x−1])
= 1/(2*sin(π/7)) | ≈1.1523824354812432526 |
| Inscribed Radius: | sqrt(root[1673*(x^3)−2520*(x^2)+784*x−64])
= 2*sqrt(1673*(436*(cos(π/7)^2)
+116*cos(π/7)+9))/1673 | ≈1.0571625914335797820 |
| Volume: | sqrt(root[729*(x^3)−54432*(x^2)
+564480*x−1404928])
= 2*sqrt(7)/(3*sin(π/14)) | ≈7.9265989766278435864 |