Apollonian circle packing

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:built add circles tangent to three existing circles
begins with three mutually tangent circles
gptkbp:contains gptkb:Soddy_circles
Descartes configuration
gptkbp:dimensions 2
gptkbp:field gptkb:geometry
gptkb:mathematics
gptkbp:generalizes gptkb:Apollonian_gasket
gptkbp:hasIntegerCurvatures yes (in some packings)
https://www.w3.org/2000/01/rdf-schema#label Apollonian circle packing
gptkbp:namedAfter gptkb:Apollonius_of_Perga
gptkbp:property infinite
fractal
self-similar
gptkbp:relatedTo gptkb:Descartes'_Theorem
circle packing
gptkbp:studiedIn complex analysis
dynamical systems
number theory
gptkbp:visualizes circle inversion
gptkbp:bfsParent gptkb:Apollonian_gasket
gptkbp:bfsLayer 8