Vertices: | 9 (7[4] + 2[7]) |
Faces: | 14 (isosceles triangles) |
Edges: | 21 (14 short + 7 long) |
Symmetry: | 7-fold Prismatic (D7h) |
Dihedral Angle: | acos(−root[239*(x^3)−227*(x^2)+45*x−1]) = acos(−(41−16*cos(π/7)+28/cos(π/7))/239) | ≈103.961168876 degrees |
Dual Solid: | Heptagrammic 7/2 Prism |
(values below based on unit-edge-length Heptagrammic 7/2 Prism) |
Short Edge (14): | root[7*(x^3)+28*(x^2)−64] = cot(π/7)*cot(π/7)−3 | ≈1.3119411104227270712 |
Long Edge (7): | root[(x^3)+4*(x^2)−4*x−8] = 4*cos(π/7)−2 | ≈1.6038754716096765049 |
[7]-Vertex Radius (2): | root[7*(x^3)−28*(x^2)+28*x−8] = 1/(2*sin(2*π/7)*sin(2*π/7)) | ≈0.81798190298779294908 |
[4]-Vertex Radius (7): | sqrt(root[7*(x^3)−56*(x^2)+112*x−64]) = 1/cos(π/14) | ≈1.02571686327255389949 |
Edge-scribed Radius: | sqrt(root[7*(x^3)−14*(x^2)+7*x−1]) = 1/(2*sin(2*π/7)) | ≈0.63952400384496630287 |
Inscribed Radius: | sqrt(root[1673*(x^3)−2520*(x^2)+784*x−64]) = sqrt((472−464*cos(π/7)+334/cos(π/7))/1673) | ≈0.50381834168200655316 |