Symmetric Canonical Self-Dual Heptahedra
4 total:
3
2 have C3v symmetry:
2
This is the only one with 4 edge lengths
(box: x-ray)
(F: faces)
(slider: perspective)
(image: L=rotate R=zoom)
(M: metrics)
Please use a browser that supports "canvas"
Self-Dual Heptahedron #3 (canonical)
Vertices:
7 (1[3] + 3[3] + 3[4])
Faces:
7 (1 equilateral triangle + 3 isosceles triangles + 3 isosceles trapezoids)
Edges:
12 (4 different lengths)
Symmetry:
3-fold Pyramidal (C3v)
(Each trapezoid is a 120-60 isosceles trapezoid)
(values below based on edge-scribed radius = 1)
Edge 1 (3):
2*sqrt(2)/3
≈0.94280904158206336587
Edge 2 (3):
6*sqrt(2)/5
≈1.6970562748477140586
Edge 3 (3):
4*sqrt(2)/3
≈1.8856180831641267317
Edge 4 (3):
2*sqrt(2)
≈2.8284271247461900976
Edge-scribed Radius:
1
Volume:
1256/405
≈3.1012345679012345679