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

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

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

Back to Sprott's Fractal Gallery