On a Diophantine Equation That Generates All Integral Apollonian Gaskets. (5th April 2012)
- Record Type:
- Journal Article
- Title:
- On a Diophantine Equation That Generates All Integral Apollonian Gaskets. (5th April 2012)
- Main Title:
- On a Diophantine Equation That Generates All Integral Apollonian Gaskets
- Authors:
- Kocik, Jerzy
- Other Names:
- Bogdanov L. V. Academic Editor.
Martin G. Academic Editor. - Abstract:
- Abstract : 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.
- Is Part Of:
- ISRN geometry. Volume 2012(2012)
- Journal:
- ISRN geometry
- Issue:
- Volume 2012(2012)
- Issue Display:
- Volume 2012, Issue 2012 (2012)
- Year:
- 2012
- Volume:
- 2012
- Issue:
- 2012
- Issue Sort Value:
- 2012-2012-2012-0000
- Page Start:
- Page End:
- Publication Date:
- 2012-04-05
- Subjects:
- Geometry -- Periodicals
Topology -- Periodicals
Geometry
Topology
Periodicals
516 - Journal URLs:
- https://www.hindawi.com/journals/isrn/contents/isrn.geometry/ ↗
- DOI:
- 10.5402/2012/348618 ↗
- Languages:
- English
- ISSNs:
- 2090-6307
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 18431.xml