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(−(97−96*cos(π/7)−4/cos(π/7))/239) | ≈91.454683627 degrees |
Dual Solid: | Heptagrammic 7/3 Prism |
(values below based on unit-edge-length Heptagrammic 7/3 Prism) |
Short Edge (14): | root[7*(x^3)−28*(x^2)+64] = 8*sin(2*π/7)/sqrt(7) | ≈2.3640361940244141018 |
Long Edge (7): | root[(x^3)−4*(x^2)−4*x+8] = 1/sin(π/14) | ≈4.4939592074349341221 |
[7]-Vertex Radius (2): | root[7*(x^3)−28*(x^2)+28*x−8] = 1/(2*cos(π/14)*cos(π/14)) | ≈0.52604754180084351532 |
[4]-Vertex Radius (7): | sqrt(root[7*(x^3)−56*(x^2)+112*x−64]) = 1/sin(π/7) | ≈2.3047648709624865052 |
Edge-scribed Radius: | sqrt(root[7*(x^3)−14*(x^2)+7*x−1]) = 1/(2*cos(π/14)) | ≈0.512858431636276949747 |
Inscribed Radius: | sqrt(root[1673*(x^3)−2520*(x^2)+784*x−64]) = sqrt((1140−872*cos(π/7)−116/cos(π/7))/1673) | ≈0.36721994020729052507 |