In article <AANLkTik2TWMhLxCmQAR7t8yWZsK3S8UEGU_cyRy13pvT@mail.gmail.com>, "Tony (Anthony) Hanmer" <a.hanmer@gmail.com> writes:
I'm looking for the order number translation for the string bbbbbbaaaaaa to use in Fractint, which produces this Lyapunov fractal: http://commons.wikimedia.org/wiki/File:Lyapunov-fractal.png (It's a famous one, called Zircon City.) Any help?
I found this in a comment in the code. It should probably migrate to the help file for this fractal type: The sequence is coded in the bit pattern in an integer. Briefly, the sequence starts with an A the leading zero bits are ignored and the remaining bit sequence is decoded. The sequence ends with a B. Not all possible sequences can be represented in this manner, but every possible sequence is either represented as itself, as a rotation of one of the representable sequences, or as the inverse of a representable sequence (swapping 0s and 1s in the array.) Sequences that are the rotation and/or inverses of another sequence will generate the same lyapunov exponents. A few examples follow: number sequence 0 ab 1 aab 2 aabb 3 aaab 4 aabbb 5 aabab 6 aaabb (this is a duplicate of 4, a rotated inverse) 7 aaaab 8 aabbbb etc. -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://legalizeadulthood.wordpress.com/the-direct3d-graphics-pipeline/> Legalize Adulthood! <http://legalizeadulthood.wordpress.com>