This fractal started with a deep zoom into elephant valley. After taking
some side paths and seeing what changed, that information was used to
customize the image. A notable find in this fractal was a side path that
reduces the number of arms by any chosen binary number. This particular
fractal reduces the number of arms from 256 to 8. Choose a similar feature
on a ring closer to the minibrot at a magnification of 1.8E+37 to get a
larger reduction of arms or zoom out more from this area and pick a similar
feature at the next ring to get less.
Here is a link to a web page with an image:
http://www.fracton.org/fmlposts/binary_disarmament.html
The parameter file used to make the image is below:
BinaryDisarmament { ; Exported from Fracton.
; time = 1 min 57 sec at 640 x 480 with no aa
; on a Mac Pro 2 x 2.8 Ghz Quad-Core Xeon
reset=2004 type=mandel passes=1 float=y
center-mag=0.3621521493849173225653015936229961154\
020303874746001572686474146939631186233564272156/0\
.7697027186599243781549340712467568527349109424266\
821242302855761785090545156785712693e-1/1.61616163\
6363636e+71/1/-10/0
params=0/0/0/0/0/0/0/0/0/0 maxiter=10000 inside=1
proximity=0
colors=000fTDeSDdRDcQDbPD`OE_NEZMEYMEXLEVKEUJETIES\
HERGEPFFQFFRGFSHFTIFUJFVJFWKFXLFYMFZNF_NF`OFaPFbQF\
cRFeSFdSFcRFbQFaPF`OF_OFZNFYMFXLFWKFVKFUJFTIFSHFRG\
FPFFPFFQGFRGFSHFTIFUIFVJFWKFXKFYLFZLF_MF`NFaNFbOFc\
PFcPFbOFaOF`NF_MFZMFYLFXKFWKFVJFUJFTIFSHFRHFPFFSNC\
<2>UODVPEWQFXRGYSHZTH`UIaVJbWKcXLdYMeZMf_Ng`OiaPjb\
QkcRldRmeSnfTogUphVriWsjWtkXulYvmZwn_xo`zpaypaxo`w\
n_vm_ulZtkYsjXriXqhWphVogUnfU<5>g`P<5>aWL<2>WQG000\
<5>888<7>III<7>RRR<7>```<9>jjj<9>lll<9>bbb<9>TTT<9\
>JJJ<9>999<10>000PFF<2>`OF<2>lXE<2>xeD<2>p_CgTD }
--
Mike Frazier
www.fracton.org
------- John W. said: -------
> Don't know if this is fractal-based. Certainly looks that way,
> and I find it remarkable!
> http://inoyan.narod.ru/kaleidoskop.swf
------- Alex Dukay said: --------
> I wonder how it was done?
Here's a guess as to what's going on in the kaleidoscope algorithm:
There's:
- a precalculated unseen fractal
- real-time copying of a pie wedge-shaped area from the fractal
- real-time translating and rotating of the pie-shaped mask that
decides what part of the source fractal to copy from.
- These translation and rotation matrices are controlled
both by a built-in timer and in response to cursor movement.
- real-time pasting of the copied pie-shaped area 12 times --
each of the 12 instances rotated 1/12 of the way further
around a circle.
So, we have lots of pixel copying, but no fractal calculations
going on while the kaleidoscope is being displayed.
Btw, I'm pretty sure that Shock Wave Flash has built-in capabilities
for translating and rotating sprites. If your sprite happens to
be a big wedge from a fractal instead of an icon (like in Hamster
Dance) the software doesn't care.
Anyone else have any ideas about the kaleidoscope at the link
above of methods that could easily produce what's going on?
- Hal Lane
########################
# hallane(a)earthlink.net
########################
FOTD -- July 01, 2011 (Rating 7)
Fractal visionaries and enthusiasts:
Without the FOTD to keep it active, the grand old Fractint list
seems to be slipping into a torpor. So I have decided to resume
the FOTD on an every-other-day basis, alternating the daily
FOTD's with a day of working on the FOTD web page.
Things were still rushed here at F.C. on Friday, meaning the
discussion will be terse.
Today's image is a scene deep in a filament on the northeast
shore line of the main bay of the Mandelbrot set. It actually
lies on a filament in the image of June 24, at a magnitude about
twice as great.
Many of the same themes appear in today's image, though the
large outer square and the smaller inner octagon are totally
missing from the previous scene.
Perhaps a bit liberally, I rated today's image at a 7. The name
"Squared Octagon" refers to the geometric shapes in the image.
The calculation time of 17 minutes is slow, but given the
magnitude of the image, the slowness is unavoidable.
The finished image is available at:
<http://www.crosscanpuzzles.com/Archives.html>
The high-definition version is at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original FOTD web site may be accessed at
<http://www.Nahee.com/FOTD/>
Total sun, low humidity and a temperature of 82F 28C made Friday
an ideal day here at Fractal Central. The fractal cats spent
the day sleeping, perhaps showing signs that they are no longer
kittens.
The humans' day was acceptable, with little problems but no big
disasters to speak of. The next FOTD will be posted in 48 hours
-- but then again, maybe it will be delayed. Until whenever,
take care, and as the owl said, it's 'too hot to hoot', which
spelled backward is 'too hot to hoot'.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Squared_Octagon { ; time=0:17:21.84-SF5 on P4-2000
reset=2004 type=mandel center-mag=0.44658826674909\
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END PARAMETER FILE=========================================
