Phoenix


Nice Image Phoenixcplx type

(type=phoenix, mandphoenix, phoenixcplx, mandphoenixclx)

The phoenix type defaults to the original phoenix curve discovered by Shigehiro Ushiki, "Phoenix", IEEE Transactions on Circuits and Systems, Vol. 35, No. 7, July 1988, pp. 788-789. These images do not have the X and Y axis swapped as is normal for this type.

The mandphoenix type is the corresponding Mandelbrot set image of the phoenix type. The spacebar toggles between the two as long as the mandphoenix type has an initial z(0) of (0,0). The mandphoenix is not an effective index to the phoenix type, so explore the wild blue yonder.

To reproduce the Mandelbrot set image of the phoenix type as shown in Stevens' book, "Fractal Programming in C", set initorbit=0/0 on the command line or with the [g] key. The colors need to be rotated one position because Stevens uses the values from the previous calculation instead of the current calculation to determine when to bailout.

The phoenixcplx type is implemented using complex constants instead of the real constants that Stevens used. This recreates the mapping as originally presented by Ushiki.

The mandphoenixclx type is the corresponding Mandelbrot set image of the phoenixcplx type. The spacebar toggles between the two as long as the mandphoenixclx type has a perturbation of z(0) = (0,0). The mandphoenixclx is an effective index to the phoenixcplx type.


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Noel Giffin,
noel@triumf.ca