Index of /fractals/symmetry

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

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