Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:fractal |
| gptkbp:builtBy |
circle packing
|
| gptkbp:dimensions |
gptkb:fractal_dimension
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics fractal geometry |
| gptkbp:fractal_dimension |
1.3057
|
| gptkbp:namedAfter |
gptkb:Apollonius_of_Perga
|
| gptkbp:property |
can be constructed recursively
self-similar appears in nature and art every circle is tangent to three others infinite number of circles limit set of a Kleinian group no two circles overlap |
| gptkbp:relatedTo |
gptkb:Ford_circles
gptkb:Apollonian_circle_packing gptkb:Apollonian_network gptkb:Kleinian_group gptkb:Descartes'_Theorem gptkb:Soddy_circles |
| gptkbp:studiedBy |
gptkb:Apollonius_of_Perga
|
| gptkbp:used_in |
complex analysis
number theory mathematical art |
| gptkbp:visualizes |
nested circles
|
| gptkbp:bfsParent |
gptkb:Descartes'_Theorem
gptkb:Descartes'_theorem gptkb:Soddy_circles |
| gptkbp:bfsLayer |
7
|
| http://www.w3.org/2000/01/rdf-schema#label |
Apollonian gasket
|