In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs...

Circle packing in a circle is a two-dimensional packing problem with the objective of packing unit circles into the smallest possible larger circle. If...

squares can be packed into some larger shape, often a square or circle. Square packing in a square is the problem of determining the maximum number of...

Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square...

The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose...

distinct from the ideas in the circle packing theorem. The related circle packing problem deals with packing circles, possibly of different sizes, on...

to Circle Packing: The Theory of Discrete Analytic Functions is a mathematical monograph concerning systems of tangent circles and the circle packing theorem...

sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes circle packing in two dimensions...

is the three-dimensional equivalent of the circle packing in a circle problem in two dimensions. Best packing of m>1 equal spheres in a sphere setting a...

Integral Apollonian circle packing defined by circle curvatures of (−3, 5, 8, 8) Integral Apollonian circle packing defined by circle curvatures of (−12...

as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 4 other circles in the packing (kissing...

as a circle packing, placing equal-diameter circles at the center of every point. Every circle is in contact with 3 other circles in the packing (kissing...

Casey's theorem Circle graph Circle map Circle packing Circle packing in a circle Circle packing in an equilateral triangle Circle packing in an isosceles...

{\displaystyle C=-2} in hyperbolic geometry. Circle packing in a circle Euler's four-square identity Malfatti circles Soddy, F. (June 1936), "The Kiss Precise"...

as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 4 other circles in the packing (kissing...

Circle packing in an equilateral triangle is a packing problem in discrete mathematics where the objective is to pack n unit circles into the smallest...

Colin L.; Wilks, Allan R.; Yan, Catherine H. (2003), "Apollonian circle packings: number theory", Journal of Number Theory, 100 (1): 1–45, arXiv:math...

This concept generalizes the circle packings described by the circle packing theorem, in which specified pairs of circles are tangent to each other. Although...

system and lifting the result into three dimensions, or by using the circle packing theorem. Several extensions of the theorem are known, in which the polyhedron...

as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with four other circles in the packing (kissing...

set of Kleinian groups; see also Circle packing theorem. The circles of Apollonius may also denote three special circles C 1 , C 2 , C 3 {\displaystyle...

allocations is referred to as the 'circle-packing' or 'polygon-packing'. Using optimization algorithms, a circle-packing figure can be computed for any uniaxial...

even when the locations are fixed. Circle packing in a rectangle Square packing in a square De Bruijn's theorem: packing congruent rectangular bricks of...

as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 3 other circles in the packing (kissing...

in the late 19th century. Early topics studied were: the density of circle packings by Thue, projective configurations by Reye and Steinitz, the geometry...

as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 5 other circles in the packing (kissing...

as a circle packing, placing equal diameter circles at the center of every point. Every circle is in contact with 3 other circles in the packing (kissing...

In geometry, the Soddy circles of a triangle are two circles associated with any triangle in the plane. Their centers are the Soddy centers of the triangle...

the densest possible circle packing. Every circle is in contact with 6 other circles in the packing (kissing number). The packing density is π⁄√12 or 90...

2-dimensional analog of Kepler's conjecture: the regular hexagonal packing is the densest circle packing in the plane (1890). This disambiguation page lists articles...