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Fractal Math, Chaos Theory & Research => Mandelbrot & Julia Set => Topic started by: Kalles Fraktaler on March 24, 2014, 08:12:31 PM




Title: Mandelbrot Alphabet
Post by: Kalles Fraktaler on March 24, 2014, 08:12:31 PM
As stated in this thread
http://www.fractalforums.com/index.php?topic=18739.msg72441
It should be possible to find views resembling all letters in the alphabet in the god old Mandelbrot set.
I challenge all of you who are still fascinated by the Mandelbrot set, as I am, to find all letters.

So here is my contribution
C:
Re: -1.768679755274083456351039392748986444207
Im: -0.0064561442659289800728238022072686701244
Zoom: 4.8E16

I:
Re: -1.76867977718938490264733568899538
Im: -0.00645615944653211942467565400387
Zoom: 2.2E7

K:
Re: -1.9963832641220893078617845134791367520076744223109237201999746941099837580179853
Im: 0.00000000000000029377560639931961531643546843049363033535940973301200350867337798
Zoom: 3.6E44

M:
Re: -1.99638326412208940326276090008475680961211633594085010169754312209027802496321332265768326460905669021652197103299054427027601843
Im: -0.00000000000000038919818180796366215441322551712021842938150485489656631576175824855901864564795113107887964283558717255394531304
Zoom: 2.6E93

S:
Re: -1.7680102078609256841288167114368703514404
Im: -0.0065497343894847305357894797675817543942
Zoom: 6E15

W:
Re: -1.99638326412208940326276090008475680961211633594085010169754312209027802496321332265768326460857345663339666379718770696840354662
Im: -0.00000000000000038919818180796366215441322551712021842938150485489656631576175824855901864564423233350439358280353925070910066259
Zoom: 2.6E93

X:
Re: -1.479796270901760024425279934770411525645551054432599517909807632824286254489014861682239338991968
Im: -0.001199443952813447746281973233374468444560314114132538362037569205657422216739564521471119107625
Zoom: 3E72

Anything is welcome, better views of the letters above, or very far-fetched resemblance, or anything :)


Title: Re: Mandelbrot Alphabet
Post by: ellarien on March 24, 2014, 11:34:21 PM
N:
Re:
-0.61284560044689887897168652504783872174565400030167351983540328385176157668697817695055509346672006728420286257544210807402302348969888971810428563271518608350235659644234144105516468170560547118338587

Im: -0.67770140241863494524135389741666468544433454805785117189090711333444725346876971169630327374926325048716018355671776552996855805335646171257204295514547556871569813360323117979388936752365219831390986

Zoom: 4.54274202684E133


Title: Re: Mandelbrot Alphabet
Post by: Dinkydau on March 25, 2014, 12:01:17 AM
Nice contest

The imaginary coordinate for the N could have the sign switched to a plus because it's currently mirrored.


Title: Re: Mandelbrot Alphabet
Post by: ellarien on March 25, 2014, 12:57:47 AM
The imaginary coordinate for the N could have the sign switched to a plus because it's currently mirrored.

Huh. It looks the right way around to me in Kalles Fraktaler with the co-ords I gave, but it appears 'above' the Re=0 axis. If I save the .kfr and open it in Mandel Machine it comes out with a positive Im value.


Title: Re: Mandelbrot Alphabet
Post by: Dinkydau on March 26, 2014, 12:15:00 AM
Oh now I understand! Kalles fraktaler mentioned somewhere that he accidentally flipped the i-axis in his program.


Title: Re: Mandelbrot Alphabet
Post by: Kalles Fraktaler on March 26, 2014, 07:35:58 AM
Oh now I understand! Kalles fraktaler mentioned somewhere that he accidentally flipped the i-axis in his program.
Yes I got that wrong from start.
Maybe it is not too late to correct this


Title: Re: Mandelbrot Alphabet
Post by: youhn on April 08, 2014, 02:42:36 PM
Sort of capital H :

(http://i.imgur.com/I9q56sb.png)

Could be a capital I after 90 degree rotation.

  Re : -1.8227440311407981254200217247754463568583
  Im : 0.0000000000063074437162697696705961886319
  Mag : 123.062

Made with Mandel Machine. Please remove .txt from the attached file to open in Mandel Machine.

http://web.t-online.hu/kbotond/mandelmachine/


Title: Re: Mandelbrot Alphabet
Post by: youhn on May 21, 2014, 10:36:35 PM
(http://fc06.deviantart.net/fs70/i/2014/141/9/e/the_letter_z_in_the_mandelbrot_set_by_jeroensnake-d7j7rlb.jpg)

source: http://jeroensnake.deviantart.com/art/The-letter-Z-in-the-Mandelbrot-set-455538287

The letter Z, but more like handwriting because of the stripe in the middle. And off course lots of appendages and even some space filling stuff in the background. Made with Kalles Fraktaler.

Re: -0.1119352273854407955095658511827634569513
Im: -0.8920106635814595001836290284650576022591
Zoom: 4.65000000000E15
Iterations: 247760


Title: Re: Mandelbrot Alphabet
Post by: youhn on May 29, 2014, 10:53:16 AM
Four times the number 2, each rotated 90 degrees.

(http://fc01.deviantart.net/fs71/i/2014/147/1/2/four_times_2_makes_sixteen_by_jeroensnake-d7jz6gp.jpg)

Source: http://jeroensnake.deviantart.com/art/Four-times-2-makes-sixteen-456817273

Params:
Params:
Re: 0.443736589536615494368195724083664676723513079143247086399175339431368271959485218203711963011643543095595159619862929 19815844534167996390705647398975828139963205865683841460963901376310510464263668505
Im: -0.37160252232314987271945846742733656516276681308325031002760411555578903512606226015039920686553527321151857224681997856951979019603638583980407052401876595788545179829174268760059063095684440956893864
Zoom: 9.00000000000E172
Iterations: 29785


Title: Re: Mandelbrot Alphabet
Post by: Kalles Fraktaler on May 29, 2014, 11:54:18 AM
Cool! :)