Timeline for Most intricate and most beautiful structures in mathematics
Current License: CC BY-SA 2.5
7 events
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| Mar 10, 2017 at 9:42 | history | edited | CommunityBot |
replaced http://upload.wikimedia.org/ with https://upload.wikimedia.org/
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| May 14, 2014 at 5:58 | comment | added | Douglas Zare | @André Henriques: The biggest region is an exact cardiod. The second is an exact circle. At least many of the smaller regions which look circular are not exactly circular: linas.org/art-gallery/bud/bud.html | |
| May 14, 2014 at 5:40 | comment | added | André Henriques | I have a question about the Mandelbrod set, which is so naive that I don't dare to ask it as an actual stand-alone question: Are the various ovals (connected components of the interior of the Mandelbrod set) perfect circles? If not, do they have smooth boundary? Are they bounded by algebraic curves? | |
| Dec 15, 2010 at 0:00 | comment | added | David Roberts♦ | Discussion here: golem.ph.utexas.edu/category/2010/10/benot_mandelbrot.html | |
| Dec 14, 2010 at 18:34 | comment | added | Douglas Zare | It is a set so that each point in the set and its complement can be marked up with an associated Julia set and the behavior of $0$. I don't know what more is needed to call it a structure. If you want a more algebraic structure on top, then look at, for example, homeomorphisms on subsets of the Mandelbrot set from quasiconformal surgeries. | |
| Dec 14, 2010 at 12:58 | comment | added | Jose Brox | It is a set with a geometrical depiction of great beauty and intricacy, but... how is it a structure? | |
| Dec 14, 2010 at 0:51 | history | answered | Douglas Zare | CC BY-SA 2.5 |