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

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

Icon  Name                    Last modified      Size  Description
[DIR] Parent Directory                             -   
[IMG] CAT00000.GIF            08-Mar-1997 00:00   23K  Image/gif
[IMG] CAT00001.GIF            08-Mar-1997 00:00   26K  Image/gif
[IMG] CAT00002.GIF            08-Mar-1997 00:00   22K  Image/gif
[IMG] CAT00003.GIF            08-Mar-1997 00:00   23K  Image/gif
[IMG] CAT00004.GIF            08-Mar-1997 00:00  6.5K  Image/gif
[IMG] IAIQBQLO.GIF            09-Feb-1997 00:00   17K  Image/gif
[IMG] IAIQGACY.GIF            09-Feb-1997 00:00   14K  Image/gif
[IMG] IAPNMCBK.GIF            09-Feb-1997 00:00   14K  Image/gif
[IMG] IARKAJGK.GIF            09-Feb-1997 00:00   26K  Image/gif
[IMG] IASECPGR.GIF            09-Feb-1997 00:00   28K  Image/gif
[IMG] IBDJGMBW.GIF            09-Feb-1997 00:00   11K  Image/gif
[IMG] IBHEMINN.GIF            09-Feb-1997 00:00   19K  Image/gif
[IMG] IBHIRDOP.GIF            09-Feb-1997 00:00   11K  Image/gif
[IMG] IBJCHDVP.GIF            09-Feb-1997 00:00   21K  Image/gif
[IMG] IBPGWBCX.GIF            09-Feb-1997 00:00   14K  Image/gif
[IMG] IBYNPYET.GIF            09-Feb-1997 00:00   12K  Image/gif
[IMG] ICBBGQAU.GIF            09-Feb-1997 00:00  6.2K  Image/gif
[IMG] ICMHEYMJ.GIF            09-Feb-1997 00:00  8.8K  Image/gif
[IMG] IDDMBQWX.GIF            09-Feb-1997 00:00  9.3K  Image/gif
[IMG] IDHGEUCU.GIF            09-Feb-1997 00:00  8.8K  Image/gif
[IMG] IDHGRETY.GIF            09-Feb-1997 00:00   28K  Image/gif
[IMG] IDKPJOFD.GIF            09-Feb-1997 00:00   19K  Image/gif
[IMG] IDYSTBUU.GIF            09-Feb-1997 00:00   27K  Image/gif
[IMG] IEHFPEWT.GIF            09-Feb-1997 00:00   20K  Image/gif
[IMG] IEKJTNEF.GIF            09-Feb-1997 00:00   16K  Image/gif
[IMG] IEMFGLHL.GIF            09-Feb-1997 00:00   19K  Image/gif
[IMG] IEMVBAHY.GIF            10-Feb-1997 00:00   13K  Image/gif
[IMG] IFJACLJS.GIF            09-Feb-1997 00:00  6.3K  Image/gif
[IMG] IFKNLPBH.GIF            09-Feb-1997 00:00   10K  Image/gif
[IMG] IFSDEGGO.GIF            10-Feb-1997 00:00   25K  Image/gif
[IMG] IHQKCENW.GIF            09-Feb-1997 00:00   19K  Image/gif
[IMG] IIDFAXFJ.GIF            09-Feb-1997 00:00  7.1K  Image/gif
[IMG] IIJMUAYW.GIF            09-Feb-1997 00:00   21K  Image/gif
[IMG] IIKQOAGT.GIF            09-Feb-1997 00:00   15K  Image/gif
[IMG] IJJHFPOM.GIF            09-Feb-1997 00:00   31K  Image/gif
[IMG] IJLJAWMG.GIF            09-Feb-1997 00:00   11K  Image/gif
[IMG] IJOSHOEC.GIF            09-Feb-1997 00:00   17K  Image/gif
[IMG] IJPKJLES.GIF            09-Feb-1997 00:00   14K  Image/gif
[IMG] IKURFUAI.GIF            09-Feb-1997 00:00   15K  Image/gif
[IMG] ILGIIGCY.GIF            09-Feb-1997 00:00   14K  Image/gif
[IMG] ILKGOHPY.GIF            09-Feb-1997 00:00   21K  Image/gif
[IMG] IOWPBAKL.GIF            09-Feb-1997 00:00  4.6K  Image/gif
[IMG] IPDSUXTP.GIF            09-Feb-1997 00:00   14K  Image/gif
[IMG] IPFNRQDU.GIF            09-Feb-1997 00:00   24K  Image/gif
[IMG] IPFVCSWA.GIF            09-Feb-1997 00:00   10K  Image/gif
[IMG] IPLGTEBX.GIF            09-Feb-1997 00:00   20K  Image/gif
[IMG] IPLPCAAK.GIF            09-Feb-1997 00:00  5.2K  Image/gif
[IMG] IPMFYRDA.GIF            09-Feb-1997 00:00   10K  Image/gif
[IMG] IPNSWBCN.GIF            09-Feb-1997 00:00   13K  Image/gif
[IMG] IQIRSEEN.GIF            09-Feb-1997 00:00   14K  Image/gif
[IMG] IQNPXJOS.GIF            09-Feb-1997 00:00  9.5K  Image/gif
[IMG] IRENUXKH.GIF            09-Feb-1997 00:00   15K  Image/gif
[IMG] IRJLJXTB.GIF            09-Feb-1997 00:00  7.0K  Image/gif
[IMG] IRMQMXSS.GIF            09-Feb-1997 00:00  6.2K  Image/gif
[IMG] ISYNLSHL.GIF            09-Feb-1997 00:00   13K  Image/gif
[IMG] ITHXSGMH.GIF            09-Feb-1997 00:00  6.4K  Image/gif
[IMG] ITIORPCA.GIF            09-Feb-1997 00:00  7.4K  Image/gif
[IMG] ITJFUYNE.GIF            09-Feb-1997 00:00   22K  Image/gif
[IMG] ITKTULQD.GIF            09-Feb-1997 00:00   18K  Image/gif
[IMG] ITNRNHJM.GIF            09-Feb-1997 00:00  8.0K  Image/gif
[IMG] IUKMQEFN.GIF            09-Feb-1997 00:00   22K  Image/gif
[IMG] IVDMXCEP.GIF            10-Feb-1997 00:00   36K  Image/gif
[IMG] IVEMLSWH.GIF            09-Feb-1997 00:00   12K  Image/gif
[IMG] IWAJYRCV.GIF            09-Feb-1997 00:00   22K  Image/gif
[IMG] IWGNVFFL.GIF            09-Feb-1997 00:00   23K  Image/gif
[IMG] IWHKSPKD.GIF            10-Feb-1997 00:00   12K  Image/gif
[IMG] IWHNJWNG.GIF            09-Feb-1997 00:00   16K  Image/gif
[IMG] IWLNVOFW.GIF            09-Feb-1997 00:00  9.1K  Image/gif
[IMG] IWNMHWEG.GIF            09-Feb-1997 00:00   21K  Image/gif
[IMG] IXXIYRGB.GIF            09-Feb-1997 00:00   15K  Image/gif
[IMG] IYFPNKQA.GIF            09-Feb-1997 00:00   11K  Image/gif
[IMG] IYKNOOJD.GIF            09-Feb-1997 00:00   19K  Image/gif
[IMG] SYMM127.GIF             11-Aug-1997 01:00   19K  Image/gif
[   ] SYMMETRY.BAS            23-Dec-1997 00:00  6.8K  Text/BASIC source code
[   ] SYMMETRY.EXE            10-Feb-1997 00:00   63K  Application/octet-Stream
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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