Circle packing

theorem

Sequence of shapes

thumb|A polyhedron and its midsphere. A viewer situated at a polyhedron vertex would see the red circle surrounding that vertex as the horizon on the sphere.|alt=An opaque white polyhedron with four triangular faces and four quadrilateral faces is crossed by a transparent blue sphere of approximately the same size, tangent to each edge of the polyhedron. The visible portions of the sphere, outside the polyhedron, form circular caps on each face of the polyhedron, of two sizes: smaller in the triangular faces, and larger in the quadrilateral faces. Red circles on the surface of the sphere, pass

fractal generated from three mutually tangent circles by repeatedly placing a tangent circle into the gap between three circles

three circles in a triangle, tangent to each other and the triangle sides

chain of tangent circles within an arbelos

cyclic sequence of circles, each tangent to its two neighbors in the sequence and to two fixed circles

mathematical problem

study of the arrangement of circles on a given surface such that no overlapping occurs and so that all circles touch one another

mathematical problem

circle in the arbelos congruent to the twin circles

packing problem in discrete mathematics where the objective is to pack n unit circles into the smallest possible equilateral triangle;optimal solutions are known for n<13 and for any triangular number of circles,and conjectures are available for n<28

theorem describing the possible tangency relations between circles in the plane whose interiors are disjoint

geometric concept