Sphere packing in a cube information

In geometry, sphere packing in a cube is a three-dimensional sphere packing problem with the objective of packing spheres inside a cube. It is the three-dimensional...

Sphere packing in a sphere is a three-dimensional packing problem with the objective of packing a given number of equal spheres inside a unit sphere. It...

In crystallography, atomic packing factor (APF), packing efficiency, or packing fraction is the fraction of volume in a crystal structure that is occupied...

otherwise the optimal packing density of spheres could be surpassed by putting a sphere in each rhombicuboctahedron of the hypothetical packing which surpasses...

offer the best lattice packing of spheres, and is believed to be the optimal of all packings. With 'simple' sphere packings in three dimensions ('simple'...

octahedron is a sphere in taxicab geometry, and a cube is a sphere in geometry using the Chebyshev distance. The geometry of the sphere was studied by...

has a dual tessellation; the cell centers in a tessellation are cell vertices in its dual tessellation. The densest known regular sphere-packing in two...

Rubik's Cube Speedcubing Pocket Cube Rubik's Magic Rubik's Revenge Rush Hour (puzzle) Situation puzzle Sliding puzzle Snake cube Sokoban Soma cube Sphere packing...

inscribed sphere of the tetrahedron. In a trirectangular tetrahedron the three face angles at one vertex are right angles, as at the corner of a cube. Kepler...

In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It...

truncated tetrahedron can be called a cantic cube, with Coxeter diagram, , having half of the vertices of the cantellated cube (rhombicuboctahedron), . There...

inscribed circles must belong to a single sphere. For example, a rectangular cuboid has a midsphere only when it is a cube, because otherwise it has non-square...

also be seen as a projection of an n-unit cube of spheres in 3-dimensional space, viewed on the diagonal axis. There are more spheres than circles because...

important "equator" getting the lowest density. Cube mapping records the environment as the six faces of a cube. The image distortion is markedly reduced,...

surface area is: A=8B=16r2.{\displaystyle A=8B=16r^{2}.} Deriving the volume of a bicylinder (white) can be done by packing it in a cube (red). A plane (parallel...

Dupin cyclide (inversion of a torus) Whitney umbrella Right conoid (a ruled surface) Apollonian gasket Apollonian sphere packing Blancmange curve Cantor dust...

dodecahedrille) is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is the Voronoi diagram of the face-centered cubic sphere-packing, which has...

crystals. In three dimensions, the face-centered cubic and hexagonal close packing are common crystal structures. They are the densest sphere packings in three...

n-dimensional spheres of a fixed radius in Rn so that no two spheres overlap. Lattice packings are special types of sphere packings where the spheres are centered...

efficient way of packing together equal-sized spheres and stacking close-packed atomic planes in three dimensions. For example, if plane A lies beneath plane...

corresponds to a sphere packing of edge-length-diameter spheres centered on each vertex, or (dually) inscribed in each cell instead. In the hypercubic...

packing spheres according to the cubic close(st) packing (CCP), also known as the face-centered cubic (fcc) packing, then sweeping away the spheres that...

convex hull is a convex polyhedron. Cubes and pyramids are examples of convex polyhedra. A polyhedron is a 3-dimensional example of a polytope, a more general...