Vertices: | 14 (14[3]) |
Faces: | 9 (7 squares + 2 regular heptagons) |
Edges: | 21 (all same length) |
Symmetry: | 7-fold Prismatic (D7h) |
Heptagon-Square Angle: | acos(0) | 90 degrees |
Square-Square Angle: | acos(-root[8*(x^3)+4*(x^2)−4*x−1]) = 900/7 degrees | ≈128.571428571 degrees |
Dual Solid: | Simplest D7h (1 of 2) |
(values below based on midscribed radius = 1) |
Edge Length: | sqrt(root[(x^3)−7*(x^2)+14*x−7]) | ≈0.867767478235116240952 |
Circumscribed Radius: | sqrt(root[64*(x^3)−304*(x^2)+472*x−239]) | ≈1.0900711440408984768 |
Midscribed Radius: | 1 |
Heptagon Center Radius: | sqrt(root[64*(x^3)−112*(x^2)+56*x−7]) | ≈0.43388373911755812048 |
Square Center Radius: | root[8*(x^3)−4*(x^2)−4*x+1] = cos(π/7) | ≈0.90096886790241912624 |
Volume: | root[64*(x^3)−1372*x+2401] | ≈2.3745677688113665268 |