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
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.