I hadn’t heard of Biomorphs until I started wandering through The Magic Machine: A Handbook of Computer Sorcery. I’m brushing up on math and coding now so I can do some new projects this year and this book is a fun way to do it.
[ z = z^3 + c]

[ z = sin(z) + z^2 + c ]

Biomorphs were discovered by Clifford Pickover at the IBM Research Center. Biomorphs are like Mandelbrot functions in that you iterate a simple function over the complex plane. The algorithm is in the 2 example Java files below. Several more besides these two are known to reside between -20 and 20. { z^z + z^6 + c; z^z + z^6 + c; sin(z) + e^z +c; z^5 + c; z^z + z^5 + c; . . . } You should be able to figure out how to create them by altering the two examples in the download file.
Some people breed biomorphs and let them evolve as an artificial life form.
Source Code
biomorphs.tar.gz ( 2 Java source files for the biomorphs above )
More information:
Dr. Clifford Pickover home page
Mad Teddy’s Fractals #2 Biomorphs
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