When the flatten- ing has become very nearly equal to 2/5, the ellipsoid. This entry was posted in Beautiful math, Math and tagged apollonian gasket, wolfram mathematica on by Luca M. interesting paper on the subject in Acta Mathematica for 1885.5 MacLaurin. Example-1: () > import numpy as np > y np.array(2. The Circles of Descartes (Wolfram Demonstrations Project) – Contributed by: Ed Pegg Jr (you’ll need to have the Wolfram CDF Player installed to play with this full simulation) ndarray - A copy of the input array, flattened to one dimension.Apollonian_gasket A Tisket, a Tasket, an Apollonian Gasket (pdf), Dana Mackenzie, American Scientist, 2010. ![]() To produce a full gasket the code should be longer than that allowed by a twitter length, but I think that a basic one could be done in about 500 characters or less. ![]() Additional parameter for flatten cell arrays up to N level cellflat(C,N) flatten cell array C for up to N level (N level search/flatten). Well, actually that is not a complete Apollonian gasket, but it can give the idea. A flatten layer collapses the spatial dimensions of the input into the channel dimension. ![]() Block does dynamic scoping (localizing values). ![]() This corresponds to the associative property. Module does lexical scoping (localizing names). The Mathematica commands Times, Plus, and Dot have the attribute Flat. Loop can be terminated using one of the following commands: Throw, Catch, Break, Continue, Return, Interrupt, and Abort. Here’s a very short code (under 128 character’s length) that I’ve made with Wolfram Mathematica guided by the saying “ Beautiful math can often also be very ]Īnd here’s the twit published by ( Wolfram (More info: ) #wolframlang /1aP7Wceob4 There are three scoping constructs used in Mathematica to localize variables - Module, Block and With.
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