| Vertices: | 14 (14[4]) |
| Faces: | 16 (14 equilateral triangles + 2 regular heptagons) |
| Edges: | 28 |
| Symmetry: | 7-fold Antiprismatic (D7v) |
| Heptagon-Triangle Angle: | acos(−sqrt(root[189*(x^3)−315*(x^2)+63*x−1]))
= acos(−tan(π/14)*sqrt(3)/3) | ≈97.572257567 degrees |
| Triangle-Triangle Angle: | acos(-root[27*(x^3)+9*(x^2)−27*x−1])
= acos(−(4*cos(π/7)−1)/3) | ≈150.222262672 degrees |
| Dual Solid: | Heptagonal Trapezohedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(root[64*(x^3)−144*(x^2)+80*x−13])
= sqrt(5+cot(π/14)^2)/4 | ≈1.2297273416821211463 |
| Midscribed Radius: | root[8*(x^3)−8*(x^2)−2*x+1] = 1/(4*sin(π/14)) | ≈1.12348980185873353053 |
| Heptagon Center Radius: | sqrt(root[448*(x^3)−112*(x^2)+1])
= sqrt(3−tan(π/14)^2)/4 | ≈0.42923659824727732620 |
| Triangle Center Radius: | sqrt(root[1728*(x^3)−2160*(x^2)+144*x+1])
= sqrt(3*(1−3*(cot(π/14)^2)))/12 | ≈1.0857697737307126727 |
| Volume: | sqrt(root[46656*(x^3)−508032*(x^2)
+209916*x+2401])
= sqrt(7*(48*(cos(π/7)^2)+22*cos(π/7)−5))/6 | ≈3.2339152928559788773 |