congruent spheres
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Tetrahedron packing — In geometry, tetrahedron packing is the problem of arranging identical regular tetrahedra throughout three dimensional space so as to fill the maximum possible fraction of space. A 2006 study by Conway and Torquato showed that a packing fraction… … Wikipedia
CRISTAUX - Cristallographie — Le nom de cristal fut d’abord réservé aux substances minérales naturelles limitées par des formes polyédriques plus ou moins parfaites. L’existence de formes polyédriques était alors considérée comme le critère essentiel de la définition du… … Encyclopédie Universelle
Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… … Wikipedia
Regular polyhedron — A regular polyhedron is a polyhedron whose faces are congruent (all alike) regular polygons which are assembled in the same way around each vertex. A regular polyhedron is highly symmetrical, being all of edge transitive, vertex transitive and… … Wikipedia
combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… … Universalium
mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium
Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… … Wikipedia
Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… … Wikipedia
PHILOSOPHY, JEWISH — This article is arranged according to the following outline: WHAT IS JEWISH PHILOSOPHY? recent histories of jewish philosophy biblical and rabbinic antecedents bible rabbinic literature hellenistic jewish philosophy philo of alexandria biblical… … Encyclopedia of Judaism
E₈ lattice — In mathematics, the E8 lattice is a special lattice in R8. It can be characterized as the unique positive definite, even, unimodular lattice of rank 8. The name derives from the fact that it is the root lattice of the E8 root system. The normIn… … Wikipedia
Packing problem — Part of a series on Puzzles … Wikipedia
