On a Diophantine Equation That Generates All Integral Apollonian Gaskets
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-05
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A remarkably simple Diophantine quadratic equation is known to generate all, Apollonian integral gaskets (disk packings).
A new derivation of this formula is presented here based on inversive geometry.
Also, occurrence of Pythagorean triples in such gaskets is discussed.
American Psychological Association (APA)
Kocik, Jerzy. 2012. On a Diophantine Equation That Generates All Integral Apollonian Gaskets. ISRN Geometry،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-464751
Modern Language Association (MLA)
Kocik, Jerzy. On a Diophantine Equation That Generates All Integral Apollonian Gaskets. ISRN Geometry No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-464751
American Medical Association (AMA)
Kocik, Jerzy. On a Diophantine Equation That Generates All Integral Apollonian Gaskets. ISRN Geometry. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-464751
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464751
