Abstract
Circles and disks on spheres. Conformal transformations, group properties, Descartes’s theorem. Proof of Descartes’s theorem using the geometry of Minkowski space, four interpretation of the space of disks on the 2-sphere.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kirillov, A.A. (2013). Definition of the Apollonian Gasket. In: A Tale of Two Fractals. Birkhäuser, New York, NY. https://doi.org/10.1007/978-0-8176-8382-5_5
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8382-5_5
Published:
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-0-8176-8381-8
Online ISBN: 978-0-8176-8382-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)