Heptagonal disphenoid

{{Infobox polytope }circum = $$\sqrt{\frac{1}{4\sin^2\frac\pi7}+\frac{h^2}{4}}$$ The heptagonal disphenoid or hedow is a convex noble polyteron with 14 heptagonal scalenes as facets. 9 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.
 * type=Noble
 * dim = 5
 * img = 7-ds.png
 * off=7-disphenoid.off
 * terons = 14 heptagonal scalenes
 * cells = 49 tetragonal disphenoids, 14 heptagonal pyramids
 * faces = 98 isosceles triangles, 2 heptagons
 * edges = 14+49
 * vertices = 14
 * verf = Heptagonal scalene
 * symmetry = I2(7)≀S2×A1+, order 392
 * obsa = Hedow
 * army=Hedow
 * reg=Hedow
 * custom_measure = (base edge length 1, height h)
 * el = Edges of base heptagons (14): 1
 * el2 = Lacing edges (49): \sqrt{\frac{1}{2\sin^2\frac\pi7}+h^2{M.natg<
 * dual=Heptagonal disphenoid
 * conv = Yes
 * orientable=Yes
 * nat=Tame}}