http://tech.groups.yahoo.com/group/Active_Mathematica/ Active_Mathematica_programmers_users Sun, 03 Jan 2010 18:49:47 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1251 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1251 This one passes the tests for being : new important and interesting... Since OEIS is closed, I'm going to post it here. It has two equivalent definitions: Sun, 03 Jan 2010 18:45:52 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1250 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1250 http://maa.org/news/120709AMMEditor.html American Mathematical Monthly Editor Search The Mathematical Association of America seeks to identify candidates to Mon, 28 Dec 2009 15:36:18 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1249 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1249 http://www.facebook.com/album.php?aid=120381&id=787071498&saved#/photo.php?pid=4254021&id=787071498 Some very good( great?) work on Mandelbrot root extraction Sat, 26 Dec 2009 15:13:57 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1248 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1248 The scale of the inverse isn't the same as that of the original torus, but appears to be in the movie. The idea is that since the inversion is around the unit Mon, 21 Dec 2009 11:49:27 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1247 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1247 Resolution isn't much... http://www.flickr.com/photos/fractalmusic/4203226808/ Clear[x, y, z, pc, n] n = 30; norm[x_] := x.x; pc = {-0.122561, 0.744862, 0}; m0 Sat, 19 Dec 2009 15:35:44 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1246 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1246 In investigating the claims that the Mandelbulb n forms are "true" 3d Mandelbrots I did some 2d projections of Pc polynomial solutions of cycle 2 and cycle 3 Fri, 18 Dec 2009 20:48:03 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1245 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1245 http://www.physics.smu.edu/~olness/www/book/edition2/OlnessZimmermanBook/ch5.nb -- Respectfully, Roger L. Bagula 11759 Waterhill Road, Lakeside,Ca Fri, 18 Dec 2009 20:30:38 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1244 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1244 http://www.physics.smu.edu/%7Eolness/www/book/index.html Mathematica for Physics: 2nd Edition A new book for doing Physics with Mathematica by Robert Zimmerman Fri, 18 Dec 2009 20:27:32 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1243 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1243 http://demonstrations.wolfram.com/DuffPorterAlphaCompositingOperators/ -- Respectfully, Roger L. Bagula 11759 Waterhill Road, Lakeside,Ca 92040-2905,tel: Fri, 18 Dec 2009 19:36:37 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1242 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1242 Solutions to the Mandelbulb Pc polynomial Julia problem in Mathematica below: Douady's rabbit is at ( found by observation not solving...). Tue, 15 Dec 2009 15:43:38 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1241 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1241 m=-1 when scaled right gives (1-2*x)^n polynomials. Which is close to the (1+2*k)^n in the MacMahon infinite sum: Table[ FullSimplify[Expand[(1 - y)^(n + Fri, 11 Dec 2009 16:24:17 GMT Dave B http://tech.groups.yahoo.com/group/Active_Mathematica/message/1240 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1240 Roger: Interesting comment. Which begs the question of how does one describe a sequence leading to an error when asking for help? I've seen what at first Thu, 10 Dec 2009 16:07:50 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1239 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1239 Picture at: http://www.flickr.com/photos/fractalmusic/4174593492/ A new way to get an old fractal: ( over the years I have reused Szabolcs Horvát's method on Mon, 07 Dec 2009 18:47:50 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1238 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1238 http://www.dexigner.com/architecture/news-g19478.html Chris Carlson Adventures in Architecture with Mathematica Chris Carlson: Adventures in Architecture with Sat, 05 Dec 2009 15:24:00 GMT Roger Bagula http://tech.groups.yahoo.com/group/Active_Mathematica/message/1237 http://tech.groups.yahoo.com/group/Active_Mathematica/message/1237 The question of whether the Limiting Gaussian of the Eulerian numbers is also modulo two Sierpinski gasket like seems important in a statistical sense. If the