# hexahedron

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Related to hexahedron: regular hexahedron

## hexahedron

(hĕk'səhē`drən): see cubecube,
in geometry, regular solid bounded by six equal squares. All adjacent faces of a cube are perpendicular to each other; any one face of a cube may be its base. The dimensions of a cube are the lengths of the three edges which meet at any vertex.
; polyhedronpolyhedron
, closed solid bounded by plane faces; each face of a polyhedron is a polygon. A cube is a polyhedron bounded by six polygons (in this case squares) meeting at right angles.
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## hexahedron

[‚hek·sə′hē·drən]
(mathematics)
A polyhedron with six faces.
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References in periodicals archive ?
Romao, "3D unsteady diffusion and reaction-diffusion with singularities by GFEM with 27-node hexahedrons," Mathematical Problems in Engineering, vol.
The 4-node membrane elements for geogrid and adjacent 8-node hexahedron elements for base and subgrade are placed at the soil/aggregate-geogrid interface.
The main object of study in this paper is the hexahedron recurrence.
Near the wall, a highly refined boundary layer of hexahedron elements is employed, which evolves from a cell dimension of 0.
The first is based on traditional element properties derived from assumed displacement folds and the second is based on stress elements based on assumed stress fields satisfying the necessary equations of stress equilibrium, enhanced displacement elements based on assumed displacement fields with additional fields vanishing on the element boundaries (the magnitudes of which are determined from the Principle of Minimum Total Potential Energy), and a special hexahedron element constructed from two pentahedrons based on assumed displacement fields.
There are many kinds of hexahedron, although not are all are cube-like.
There he proves that the tetrahedron, the hexahedron (a cube), the octahedron, the dodecahedron, and the icosahedron are the only possible regular convex solids (Fig.
But for modeling surface strains affecting the balloon in the fillet radius region (a critically important area where failures of the very earliest designs had occurred), hexahedron solid brick elements were chosen for more precise results using substructuring techniques with results from the shell model driving the solid element analysis (Figure 4).
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control.
In our exposition T can be a triangle or rectangle (2D case), or a tetrahedron, a (rectangular) hexahedron, or a prismatic pentahedron (3D case).
The hexahedron is a Platonic solid;" and "The hexa(hexa=six)hedron's six faces are all squares.

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