Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
geometric configuration
|
| gptkbp:category |
mathematical configuration
circle packing |
| gptkbp:defines |
A set of circles each tangent to two given circles and to its neighbors in the chain.
|
| gptkbp:field |
gptkb:geometry
circle geometry |
| gptkbp:firstDescribed |
gptkb:Jakob_Steiner
1826 |
| https://www.w3.org/2000/01/rdf-schema#label |
Steiner chain
|
| gptkbp:namedAfter |
gptkb:Jakob_Steiner
|
| gptkbp:property |
The chain closes if and only if the ratio of the radii of the two fixed circles is a rational power of the number of circles in the chain.
The circles in a Steiner chain are all tangent to two fixed, non-intersecting circles. |
| gptkbp:relatedConcept |
gptkb:Descartes'_theorem
gptkb:Pappus_chain gptkb:inversive_geometry |
| gptkbp:relatedTo |
gptkb:butter
tangent circles |
| gptkbp:bfsParent |
gptkb:Jakob_Steiner
|
| gptkbp:bfsLayer |
7
|