• January 17, 2022, 06:24:21 PM

Author Topic:  The Bee  (Read 451 times)

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Offline xyzt

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The Bee
« on: May 26, 2021, 09:29:29 AM »
The picture is taken from the book by Michael Field and Martin Golubitsky, SYMETRY IN CHAOS, published in 1992.
Nearly thirty years after I graduated and bought the book, I was not able to reproduce this fractal.
Could anybody give more information on the attached picture?
The only reference in the book reads: The Bee.
Pedro.


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Offline Alef

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Re: The Bee
« Reply #1 on: May 26, 2021, 11:58:54 AM »
This must be a julia set. I guess, power 3 (simmetry axes) and some transcendental function must be involved.
by Edgar Malinovsky aka Edgars Malinovskis.

Offline claude

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Re: The Bee
« Reply #2 on: May 26, 2021, 12:03:48 PM »
Looks to me like an iterated function system with one affine transformation plus symmetry.  You might be able to recreate it in Apophysis / Chaotica / Fractorium or similar fractal flame software.

Offline C0ryMcG

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Re: The Bee
« Reply #3 on: May 27, 2021, 02:52:20 AM »
I agree this looks very much like an IFS or flame style fractal. The main shape is replicated in all the details without change except for shrinking/skewing.

There was a time when I could have imitated it in Apophysis, but it's been so long I don't remember where to begin...

Offline xyzt

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Re: The Bee
« Reply #4 on: May 27, 2021, 09:32:13 AM »
Thanks to the three. 1/4 of my life has pased since I could have (probably) reproduced it myself. I guess C0ryMcG is in similar context. Anyway, I will dedicate it some time and post any results.
This thread is still open and help is welcome.
Pedro.

Offline Ryan D

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Re: The Bee
« Reply #5 on: May 27, 2021, 10:52:50 PM »
If you still have your copy of the book, it contains both the code for BASIC programs to generate the images seen in the book (in the case of "Bee", see Appendix B, Symmetric Fractal Program: Program 2) and a table of parameters for each image ("Bee" parameters are found in Appendix A, Table A5, Figure 7.10).

Ryan