Vertices: | 14 (14[5]) |
Faces: | 21 (7 squares + 14 obtuse triangles) |
Edges: | 35 (21 short + 7 medium + 7 long) |
Symmetry: | 7-fold Dihedral (D7) |
Dihedral Angle 1 (7): | acos(root[379*(x^3)−487*(x^2)−11*x+127]) = acos((279−268*cos(π/7)+432*cos(2*π/7))/379) | ≈35.9303709354 degrees |
Dihedral Angle 2 (14): | acos(sqrt(root[379*(x^3)−724*(x^2)+416*x−64])) = acos(sqrt((228−56*cos(π/7)−136*cos(2*π/7))/379)) | ≈60.350173480 degrees |
Dihedral Angle 3 (7): | acos(-root[8*(x^3)+4*(x^2)−4*x−1]) = 900/7 degrees | ≈128.571428571 degrees |
Dihedral Angle 4 (7): | acos(root[379*(x^3)−389*(x^2)−11*x+29]) = acos((89+284*cos(π/7)+40*cos(2*π/7))/379) | ≈347.360073820 degrees |
(values below based on short edge length = 1) |
Short Edge (21): | 1 |
Medium Edge (7): | sqrt(root[(x^3)−8*(x^2)+19*x−13]) = sqrt(3+2*cos(2*π/7)) | ≈2.0608201289092328402 |
Long Edge (7): | sqrt(root[(x^3)−9*(x^2)+20*x−13]) = sqrt(4+1/(sin(π/14)^2))/2 | ≈2.4594546833642422926 |
Volume: | sqrt(root[2985984*(x^3)−14224896*(x^2) +7260624*x−823543]) = 7*sqrt(7)/(48*sin(π/7)^2) | ≈2.0495526270914956517 |