The rhombic dodecahedra honeycomb is a tessellation (or honeycomb) in Euclidean 3-space. It is the Voronoi diagram of the face-centered cubic sphere-packing, which is believed to be the densest possible packing of equal spheres in ordinary space (see Kepler conjecture). Space tesselation of rhombic dodecahedra. ... In geometry, the Andreini tessellations are the complete set of 28 uniform (space-filling) honeycombs of 3-space. ... The rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. ... This shape is a rhombus In geometry, a rhombus (also known as a rhomb) is a quadrilateral in which all of the sides are of equal length. ... The symmetry group of an object (e. ... The tetrahedral-octahedral honeycomb is a tessellation (or honeycomb) in Euclidean 3-space made up of alternating tetrahedra and octahedra. ... A tessellation of space fills space with solids, e. ... This is the Voronoi diagram of a random set of points in the plane (all points lie within the image). ... In crystallography, the cubic crystal system is the most symmetric of the 7 crystal systems. ... In mathematics, the Kepler conjecture is a conjecture about sphere packing in three dimensional Euclidean space. ...
It consists of copies of a single cell, the rhombic dodecahedron. All faces are rhombs, with diagonals in the ratio 1:√2. Three cells meet at each edge. The honeycomb is thus cell-uniform, face-uniform and edge-uniform; but it is not vertex-uniform, as it has two kinds of vertex. The vertices with the obtuse rhombic face angles have 4 cells. The vertices with the acute rhombic face angles have 6 cells. The rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. ...
The rhombic dodecahedron can be twisted on one of its hexagonal cross-sections to form a trapezo-rhombic dodecahedron, which is the cell of a somewhat similar tessellation, the Voronoi diagram of hexagonal close-packing. This is the Voronoi diagram of a random set of points in the plane (all points lie within the image). ... Close-packing of spheres refers to arranging an infinite lattice of spheres so that they take up the greatest possible fraction of an infinite 3-dimensional space. ...
Feeds |
Contact