Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
study of Diophantine approximation
visualization of Farey sequences |
| gptkbp:definedIn |
reduced fractions
|
| gptkbp:defines |
A Ford circle is a circle with center at (p/q, 1/(2q^2)) and radius 1/(2q^2) for each reduced fraction p/q.
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ford circles
|
| gptkbp:introducedIn |
1938
|
| gptkbp:namedAfter |
gptkb:Lester_R._Ford,_Sr.
|
| gptkbp:property |
No two Ford circles intersect.
Two Ford circles are tangent if and only if their corresponding fractions are neighbors in some Farey sequence. |
| gptkbp:relatedTo |
gptkb:Farey_sequence
rational numbers |
| gptkbp:bfsParent |
gptkb:Farey_sequence
gptkb:Lester_R._Ford,_Sr. |
| gptkbp:bfsLayer |
6
|