Index of /fractals/symmetry

Clint Sprott's 3-D Cyclically-Symmetric Strange Attractors

 Name                    Last modified      Size  Description
 Parent Directory                             -   
 CAT00000.GIF            1997-03-08 00:00   23K  
 CAT00001.GIF            1997-03-08 00:00   26K  
 CAT00002.GIF            1997-03-08 00:00   22K  
 CAT00003.GIF            1997-03-08 00:00   23K  
 CAT00004.GIF            1997-03-08 00:00  6.5K  
 CHKLIST.MS              1998-03-03 00:00   27   
 IAIQBQLO.GIF            1997-02-09 00:00   17K  
 IAIQGACY.GIF            1997-02-09 00:00   14K  
 IAPNMCBK.GIF            1997-02-09 00:00   14K  
 IARKAJGK.GIF            1997-02-09 00:00   26K  
 IASECPGR.GIF            1997-02-09 00:00   28K  
 IBDJGMBW.GIF            1997-02-09 00:00   11K  
 IBHEMINN.GIF            1997-02-09 00:00   19K  
 IBHIRDOP.GIF            1997-02-09 00:00   11K  
 IBJCHDVP.GIF            1997-02-09 00:00   21K  
 IBPGWBCX.GIF            1997-02-09 00:00   14K  
 IBYNPYET.GIF            1997-02-09 00:00   12K  
 ICBBGQAU.GIF            1997-02-09 00:00  6.2K  
 ICMHEYMJ.GIF            1997-02-09 00:00  8.8K  
 IDDMBQWX.GIF            1997-02-09 00:00  9.3K  
 IDHGEUCU.GIF            1997-02-09 00:00  8.8K  
 IDHGRETY.GIF            1997-02-09 00:00   28K  
 IDKPJOFD.GIF            1997-02-09 00:00   19K  
 IDYSTBUU.GIF            1997-02-09 00:00   27K  
 IEHFPEWT.GIF            1997-02-09 00:00   20K  
 IEKJTNEF.GIF            1997-02-09 00:00   16K  
 IEMFGLHL.GIF            1997-02-09 00:00   19K  
 IEMVBAHY.GIF            1997-02-10 00:00   13K  
 IFJACLJS.GIF            1997-02-09 00:00  6.3K  
 IFKNLPBH.GIF            1997-02-09 00:00   10K  
 IFSDEGGO.GIF            1997-02-10 00:00   25K  
 IHQKCENW.GIF            1997-02-09 00:00   19K  
 IIDFAXFJ.GIF            1997-02-09 00:00  7.1K  
 IIJMUAYW.GIF            1997-02-09 00:00   21K  
 IIKQOAGT.GIF            1997-02-09 00:00   15K  
 IJJHFPOM.GIF            1997-02-09 00:00   31K  
 IJLJAWMG.GIF            1997-02-09 00:00   11K  
 IJOSHOEC.GIF            1997-02-09 00:00   17K  
 IJPKJLES.GIF            1997-02-09 00:00   14K  
 IKURFUAI.GIF            1997-02-09 00:00   15K  
 ILGIIGCY.GIF            1997-02-09 00:00   14K  
 ILKGOHPY.GIF            1997-02-09 00:00   21K  
 IOWPBAKL.GIF            1997-02-09 00:00  4.6K  
 IPDSUXTP.GIF            1997-02-09 00:00   14K  
 IPFNRQDU.GIF            1997-02-09 00:00   24K  
 IPFVCSWA.GIF            1997-02-09 00:00   10K  
 IPLGTEBX.GIF            1997-02-09 00:00   20K  
 IPLPCAAK.GIF            1997-02-09 00:00  5.2K  
 IPMFYRDA.GIF            1997-02-09 00:00   10K  
 IPNSWBCN.GIF            1997-02-09 00:00   13K  
 IQIRSEEN.GIF            1997-02-09 00:00   14K  
 IQNPXJOS.GIF            1997-02-09 00:00  9.5K  
 IRENUXKH.GIF            1997-02-09 00:00   15K  
 IRJLJXTB.GIF            1997-02-09 00:00  7.0K  
 IRMQMXSS.GIF            1997-02-09 00:00  6.2K  
 ISYNLSHL.GIF            1997-02-09 00:00   13K  
 ITHXSGMH.GIF            1997-02-09 00:00  6.4K  
 ITIORPCA.GIF            1997-02-09 00:00  7.4K  
 ITJFUYNE.GIF            1997-02-09 00:00   22K  
 ITKTULQD.GIF            1997-02-09 00:00   18K  
 ITNRNHJM.GIF            1997-02-09 00:00  8.0K  
 IUKMQEFN.GIF            1997-02-09 00:00   22K  
 IVDMXCEP.GIF            1997-02-10 00:00   36K  
 IVEMLSWH.GIF            1997-02-09 00:00   12K  
 IWAJYRCV.GIF            1997-02-09 00:00   22K  
 IWGNVFFL.GIF            1997-02-09 00:00   23K  
 IWHKSPKD.GIF            1997-02-10 00:00   12K  
 IWHNJWNG.GIF            1997-02-09 00:00   16K  
 IWLNVOFW.GIF            1997-02-09 00:00  9.1K  
 IWNMHWEG.GIF            1997-02-09 00:00   21K  
 IXXIYRGB.GIF            1997-02-09 00:00   15K  
 IYFPNKQA.GIF            1997-02-09 00:00   11K  
 IYKNOOJD.GIF            1997-02-09 00:00   19K  
 SYMM127.GIF             1997-08-11 00:00   19K  
 SYMMETRY.BAS            1997-12-23 00:00  6.8K  
 SYMMETRY.EXE            1997-02-10 00:00   63K

Read Me

The images above are strange attractors produced by systems of 3-dimensional ordinary differential equations with quadratic nonlinearities. Following a suggestion by Arne Dehli Halvorsen, they are made symmetric with respect to cyclic interchanges of x, y, and z, so that they look identical when projected on the x-y, y-z, or z-x axes. They are displayed as anaglyphs which allow their three dimensional structure to be observed by viewing them with red-blue glasses. The 11-character code in the upper left corner of each image contains the coefficients required to replicate the image using a scheme described in the book Strange Attractors: Creating Patterns in Chaos. Also included is the Power BASIC source code SYMMETRY.BAS and DOS executable code SYMMETRY.EXE used to search for and display these images. See also a related technical note on symmetric chaotic flows. The images are copyrighted by J. C. Sprott. You may download them for your personal use. You may distribute them for non-commercial purposes, provided their source is acknowledged. Permission is required if you wish to use them for commercial purposes. You can also view them in slide show format.

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