Octahedron Edges

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In geometry, a Bricard octahedron is a member of a family of flexible polyhedra constructed by Raoul Bricard in 1897. That is, it is possible for the overall shape of this polyhedron to change in a continuous motion, without any changes to the lengths of its edges nor to the shapes of its faces. These octahedra were the first flexible polyhedra to be discovered. An octahedron in geometry is defined as a polyhedron with eight faces, six vertices and twelve edged. The term is used for regular octahedron mostly. Thus we can summarize it as: Number of edges: 12.

.SphericalEuclid.Compact hyper.Paraco.Noncompact hyperbolic3 12i3 9i3 6i3 3iTetratetrahedronThe regular octahedron can also be considered a tetrahedron – and can be called a tetratetrahedron. This can be shown by a 2-color face model.

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With this coloring, the octahedron has.Compare this truncation sequence between a tetrahedron and its dual::, (.332)3,3 +, (332)Duals to uniform polyhedraThe above shapes may also be realized as slices orthogonal to the long diagonal of a. If this diagonal is oriented vertically with a height of 1, then the first five slices above occur at heights r, 3 / 8, 1 / 2, 5 / 8, and s, where r is any number in the range 0. Finbow, Arthur S.; Hartnell, Bert L.; Nowakowski, Richard J.; (2010). 'On well-covered triangulations.

Discrete Applied Mathematics. 158 (8): 894–912.: doi: 10.1016/j.dam.2009.08.002. Halo 2 anniversary forge bunkers.

Archived from on 17 November 2014. Retrieved 14 August 2016.

CS1 maint: archived copy as title. Klein, Douglas J. Croatica Chemica Acta. 75 (2): 633–649. Retrieved 30 September 2006., Third edition, (1973), Dover edition, (Chapter V: The Kaleidoscope, Section: 5.7 Wythoff's construction).External links. 19 (11th ed.).

1911. Klitzing, Richard. The Encyclopedia of Polyhedra.

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