Timeline for Apollonian gasket and the degree of convergence
Current License: CC BY-SA 3.0
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Mar 10, 2017 at 9:42 | history | edited | CommunityBot |
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Jan 17, 2013 at 20:30 | vote | accept | Stas Kuznetsov | ||
Jan 17, 2013 at 3:56 | comment | added | ARupinski | For what its worth, while in principle one has a recursive formula for the curvatures, you are not alone in being unable to effectively use it. My advisor in grad school spent some time looking at the question of 'given starting curvatures of a gasket what curvatures can/cannot appear in the gasket?' without doing an exhaustive depth search. As far as I know this question is still open (the best one can do is find some modular restrictions), so short of finding a better answer, you probably wouldn't be able to calculate the critical $\alpha$ without a computer like in Gerald's answer. | |
Jan 17, 2013 at 2:09 | answer | added | Gerald Edgar | timeline score: 7 | |
Jan 17, 2013 at 1:29 | history | asked | Stas Kuznetsov | CC BY-SA 3.0 |