Al's Fractals

Hand drawn fractal tree

2011-07-19T11:12:00.001+01:00

Hand drawn fractal tree, originally uploaded by Alastair Montgomery.

Via Flickr:
Posted via email from Rankle's posterous

Doodled with waiting for my computer to unfreeze.

Fractals on Android

2011-04-26T19:23:00.000+01:00

Created with this app Fractoid

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Surface Detail

2011-03-09T13:00:00.001Z

Surface detail from subBlue on Vimeo.

A myriad of details in an evolving fractal landscape.

I'm currently working on a WebGL 3D fractal renderer that will let you explore structures like this in real time... stay tuned!

Update: The soundtrack is an original piece I made for the video. I've put it up on soundcloud: http://soundcloud.com/subblue/surface-detail

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Fractal Lab lets you create 3D WebGL fractals that you can explore

2011-03-09T12:00:00.000Z

Fractal Lab lets you create 3D WebGL fractals that you can explore

via Download Squad by Sebastian Anthony on 3/8/11

Fractal Lab might be coolest demonstration of WebGL and JavaScript that we've ever seen here in the Download Squad bunker. If you've ever studied Mandelbrot sets -- either willingly, or for Computer Science at high school -- Fractal Lab will change your perception of iterative, recursive maths for ever.

At first glance, Fractal Lab isn't immediately exciting -- in fact, when you close the Help dialog, all you get is a blank checkerboard. It's only when you start hitting some buttons that you realize just how awesomely powerful this demonstration is. If you haven't opened the site up yet, do so now. Then hit '3D,' and wait while your CPU renders your fractal design. What you will eventually see before you is drawn using WebGL and the GLSL shading language.

If that wasn't cool enough, you can move around the rendered object! Scroll in and out with the mouse wheel, move around with W and S, A and D. If you have a powerful computer, un-tick 'Preview mode' at the bottom; it'll make everything look rather beautiful.

Then, when you're bored of that, start moving through the tabs: Constants, Fractal, Camera, Colour and Shading. Each and every one will radically change the rendered object, or how it's displayed in your browser. Pick some new numbers (change the 'Fractal type' on the Constants tab!), then hit Recompile.

And yes, if you weren't excited enough about seeing an actual, real-world application of WebGL, you can even save your fractals using HTML5's localStorage feature!

Fractal Lab is a small piece of genius, and hopefully a good sign that more awesome things will soon gush from the HTML5 and Open Web pipeline.

Fractal Lab Introduction from subBlue on Vimeo.

Spiral Animation

2010-11-11T13:32:00.001Z

Fractal Spiral from Alastair Montgomery on Vimeo.

Animation of a Context Free Fractal being generated.

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Mandelbox trip

2010-09-28T11:46:00.001+01:00

Key-frame animation test in Mandelbulber

Animation was rendered using Mandelbulber 0.80
http://sourceforge.net/projects/mande...

© Copyright by Krzysztof Marczak

music from Youtube AudioSwap: Crystal Harmony (Ray Kelley Band)

Fractal Explorer Image 2

2010-06-08T17:00:00.000+01:00

Buy this image in various formats at Zazzle

Fractal Explorer 2010-06-07 by doodle_m See more Fractal T-Shirts	Fractal Explorer 2010-06-07 by doodle_m See more Fractoid Mugs
Fractal Explorer 2010-06-07 by doodle_m Other posters on zazzle.com	Fractal Explorer 2010-06-07 by doodle_m View more Fractoid Postcards

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Fractal Explorer Image

2010-05-25T10:27:00.005+01:00

This image was created with Fractal Explorer and edited in The Gimp.

Fractal Explorer Mug by doodle_m
Make personalised coffee mugs with Zazzle

Fractal Explorer by doodle_m
Browse more Fractal T-Shirts

Fractal Explorer by doodle_m

See more Red Cards

Fractal Explorer by doodle_m

Fractal Slide Show

2010-05-24T18:00:00.000+01:00

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Fractoid 3

2010-05-20T04:00:00.003+01:00

Created in Fractoid on Android, edited in the The Gimp

Fractoid Mug by doodle_m
See more Red Mugs

Fractoid Postcard by doodle_m
Browse more Fractoid Postcards

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Create Fractals on the Move on Android phones

2010-05-19T13:31:00.005+01:00

Found this neat Android application which lets you generate factals on the move.
It is called Fractoid and is available on the Android market place.

The multi-touch zooming works well on my HTC Desire.

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Fractal Mugs

2010-05-14T12:00:00.001+01:00

A selection of fractal design mugs you can purchase.

Blue Fractal Mug by doodle_m
More Blue Mugs

Quadratic by doodle_m
Browse other Quadratic Mugs

Mandelbrot Red Blue Fractal by doodle_m
Design custom steins at zazzle

Lambda Fractal Spiral by doodle_m
More Fractal Mugs

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Deep Mandelbrot

2010-03-23T19:32:00.001Z

Deep Mandelbrot, originally uploaded by Alastair Montgomery.

Looks a bit like a virus

Crystal 5

2009-12-03T19:28:00.001Z

Created with Context Free

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From Crystals to Spirals

2009-11-24T12:43:00.003Z

Initial Design

Created with this script

startshape crystals

rule crystals {
crystal { h 81.87 sat 0.8642 b 1.0000 }
crystal { h 81.87 sat 0.8642 b 1.0000 r 90}
crystal { h 81.87 sat 0.8642 b 1.0000 r 180} 
crystal { h 81.87 sat 0.8642 b 1.0000 r 270}
}

rule crystal {
blob {}
crystal {s 0.5 y 0.75}
crystal {s 0.5 x 0.75}
}

rule blob {
SQUARE {}
     blob {s 0.9 b - 0.1 r 5}
}

Add an extra layer of recursion

startshape gem

rule gem{
crystals {}
gem { s 0.8 r 10 }
}

rule crystals {
crystal { h 81.87 sat 0.8642 b 1.0000 }
crystal { h 81.87 sat 0.8642 b 1.0000 r 90}
crystal { h 81.87 sat 0.8642 b 1.0000 r 180} 
crystal { h 81.87 sat 0.8642 b 1.0000 r 270}
}

rule crystal {
blob {}
crystal {s 0.5 y 0.75}
crystal {s 0.5 x 0.75}
}

rule blob {
SQUARE {}
     blob {s 0.9 b - 0.1 r 5}
}

Or with this change create a spiral effect

startshape gems

rule gems{
8 * {r 45} gem {}
}

rule gem{
crystals {}
gem { s 0.8 r 10 x 2.5}
}

rule crystals {
crystal { h 81.87 sat 0.8642 b 1.0000 }
crystal { h 81.87 sat 0.8642 b 1.0000 r 90}
crystal { h 81.87 sat 0.8642 b 1.0000 r 180} 
crystal { h 81.87 sat 0.8642 b 1.0000 r 270}
}

rule crystal {
blob {}
crystal {s 0.5 y 0.75}
crystal {s 0.5 x 0.75}
}

rule blob {
SQUARE {}
     blob {s 0.9 b - 0.1 r 5}
}

Finally add some colour and change the angle

startshape gems

rule gems{
8 * {r 45} gem {h 81.87 sat 0.8642 b 1.0000}
}

rule gem{
crystals {}
gem { s 0.8 r 25 x 2.5 h +25}
}

rule crystals {
crystal {  }
crystal {  r 90}
crystal {  r 180} 
crystal {  r 270}
}

rule crystal {
blob {}
crystal {s 0.5 y 0.75}
crystal {s 0.5 x 0.75}
}

rule blob {
SQUARE {}
     blob {s 0.9 b - 0.1 r 5}
}

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Fractal tree with spikes

2009-11-20T14:09:00.003Z

Fractal tree with spikes, originally uploaded by Alastair Montgomery.

Fractal tree created in Context Free using the script below.


startshape trees

rule trees {
tree {hue =1 sat =0.8016 b =0.9502}
}

rule tree {
spike {}
tree {y 2 s 0.7 r 30 hue +5}
tree {y 2 s 0.7 r -30 hue +5}
}

rule spike {
point {}
}

rule point {
CIRCLE {}
point { y 0.1 s 0.96 sat -0.005 }
}

Context Free Spikes

2009-11-20T11:51:00.004Z

More context free art

Here is the script, just change the "r -40" to "r 40" to generate the other image.


startshape spin2

rule spin2 {
spin {}
spin2 { r -40 x 1.5 y 1 s 0.9}
}

rule spin {
spikes {}
}

rule spikes { spike {hue =1 sat =0.8016 b =0.9502} }

rule spike { point {  } spike { r 10 s 0.95 hue +1 } }

rule point { CIRCLE{} point { y 0.1 s 0.96 sat -0.005 }}

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Context free tree edit

2009-11-19T12:21:00.003Z

Context free tree edit, originally uploaded by Alastair Montgomery.

Created with Context Free and edited in the Gimp

Script used to create this below.

startshape forest

rule forest {

4 * {r 90} trees {}

}

rule trees {

tree {}

trees {x+2.6 y+1 s 0.75 r 30}

}

rule tree {

branch_right{}

branch_right{rotate 180}

}

rule branch_right {

branch_right{x 0.5 y 0.5 size 0.6 r -45}

branch_left{x -0.5 y 0.5 size 0.6 r 45}

blob{}

}

rule branch_left {

branch_left{x -0.5 y 0.5 size 0.6 r 45}

branch_right{x 0.5 y 0.5 size 0.6 r -45}

blob{}

}

rule blob {

SQUARE {}

CIRCLE {size 0.99 b 1}

blob {size 0.9 b 0.25 rotate 10}

}

Context Free Fractal Trees

2009-11-19T06:00:00.003Z

Context Free Fractal Tree created with the Context Free software

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"Mandelbulb," a 3D Mandlebrot Construct, Discovered

2009-11-18T07:00:00.000Z

"Mandelbulb," a 3D Mandlebrot Construct, Discovered

via Slashdot by kdawson on 11/15/09

symbolset writes "Many know the beauty and complexity of the Mandelbrot set. For some years now a few enterprising mathematicians / rendering fiends have been seeking a true 3D Mandelbrot set. A month ago a solution was found, and it is awesome to behold."

Mandelbrot and Lambda Fractals

2009-11-18T06:00:00.002Z

A couple of new images created with gnoFract 4d.

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Evolvotron

2009-11-09T15:30:00.002Z

Evolvotron, originally uploaded by Alastair Montgomery.

Image generated from the Linux interactive "generative art" application Evolvotron.

Mandelbrot 010

2009-09-05T14:44:00.002+01:00

Mandelbrot 010, originally uploaded by Alastair Montgomery.

-----------------------------------
gnofract4d parameter file
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]

Mandelbrot 009

2009-09-05T14:25:00.002+01:00

Mandelbrot 009, originally uploaded by Alastair Montgomery.

-----------------------------------
gnofract4d parameter file
version=3.10
compressed=[
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u91U+HYr/x+E3EQxoDwAAA==

]

Mandelbrot 008

2009-09-03T20:20:00.002+01:00

Mandelbrot 008, originally uploaded by Alastair Montgomery.

-----------------------------------
gnofract4d parameter file
version=3.10
compressed=[
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]

Xaos 02

2009-06-04T11:28:00.001+01:00

Xaos 02, originally uploaded by Alastair Montgomery.

Created with Xaos

Mandelbrot7

2009-05-19T16:46:00.002+01:00

Mandelbrot7, originally uploaded by Alastair Montgomery.

-----------------------------------
gnofract4d parameter file
version=3.10
compressed=[
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]

Fractal Zoom Test short video

2009-05-18T15:41:00.002+01:00

Fractal Zoom Test
Originally uploaded by Alastair Montgomery

Testing the zoom functions in Gnofract

Mandelbrot 6

2009-05-15T15:02:00.002+01:00

Mandelbrot 6, originally uploaded by Alastair Montgomery.

More fun with Gnofract 4d on Ubuntu

Quadratic 003

2009-05-15T11:24:00.001+01:00

Quadratic 003, originally uploaded by Alastair Montgomery.

Created with Gnofract 4d, parameters below.

Trying different colouring options.
-----------------------------------
gnofract4d parameter file
version=3.10
compressed=[
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BzOcoZmfPAAA

]

Mandelbrot004 Big

2009-05-14T14:59:00.003+01:00

Mandelbrot004 Big, originally uploaded by Alastair Montgomery.

Created with Gnofract 4d, edited in The Gimp

Quadratic

2009-05-14T13:59:00.002+01:00

Quadratic, originally uploaded by Alastair Montgomery.

Created with Gnofract 4d parameters below
-----------------------------------
gnofract4d parameter file
version=3.10
compressed=[
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ezu8Kw6HufDlWv5/dpHobv08AAA=

]

Other peoples work

2009-05-12T17:00:00.000+01:00

Here are a couple of fractals I stumbled across on the web which I thought where worth sharing.

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Mandelbrot004

2009-05-12T14:46:00.001+01:00

Mandelbrot004, originally uploaded by Alastair Montgomery.

Created with Gnofract 4d on Ubuntu 9.04 with the following parameters

-----------------------------------
gnofract4d parameter file
version=3.10
compressed=[
H4sIAEF6CUoC/61UTY/bIBC98ytyrxqB+TBUshRVq131sFXvURQRG1ZIBCKM1Ti/vtgmu0rCoVvV
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gmBecQbOYzH/XC5+Llcfy9ljOftSho/ybKIKTQUJB6O25tQ8S9srcFLB+M60Jo4Nyrt99FYF6Vq1
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B/lRB0F4BQAA

]

Mandelbrot003

2009-05-11T19:37:00.001+01:00

Mandelbrot003, originally uploaded by Alastair Montgomery.

Created on GnoFract on Ubuntu 9.04

Mandelbrot002

2009-05-10T19:08:00.001+01:00

Mandelbrot002, originally uploaded by Alastair Montgomery.

Created on GnoFract on Ubuntu 9.04

Mandelbrot by GnoFract 4D

2009-05-08T20:37:00.001+01:00

Mandelbrot2, originally uploaded by Alastair Montgomery.

Created with Gnofract 4D

Fraqtive 001

2009-05-07T16:19:00.001+01:00

Fraqtive 001, originally uploaded by Alastair Montgomery.

Created with Fraqtive on Ubuntu 9.04

Xaos Fractal 1

2009-05-07T10:21:00.002+01:00

Xaos Fractal 1, originally uploaded by Alastair Montgomery.

Created on Xaos on Ubuntu 9.04

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, p15_11

2008-11-25T10:15:00.001Z

p15_11, originally uploaded by Alastair Montgomery.

Fractal Image, p15_03

2008-11-25T10:14:00.001Z

p15_03, originally uploaded by Alastair Montgomery.

Fractal Image, p15_02

2008-11-25T10:13:00.001Z

p15_02, originally uploaded by Alastair Montgomery.

Fractal Image, p14_10

2008-11-25T10:12:00.001Z

p14_10, originally uploaded by Alastair Montgomery.

Fractal Image, p14_11

2008-11-25T10:08:00.001Z

p14_11, originally uploaded by Alastair Montgomery.

Fractal Image, p14_12

2008-11-25T10:07:00.003Z

p14_12, originally uploaded by Alastair Montgomery.

Fractal image, stalks

2008-11-25T10:07:00.001Z

stalks, originally uploaded by Alastair Montgomery.

Swurl

2008-07-04T11:11:00.000+01:00

I just setup a new Swurl at http://alastair.swurl.com/. Come visit and leave me a comment!

It combines all my online non-sense into the one page.

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Link : Fractal Science Kit

2008-07-02T14:05:00.002+01:00

Fractal Science Kit

URL http://www.fractalsciencekit.com

Description

Windows program for exploring fractals including: Mandelbrot, Julia, Convergent, Newton, Orbit Traps, Sierpinski Triangle, IFS, Strange Attractors, Rep-N Tiles, Symmetric Icons, Apollonian Gasket, Circle Inversion, Schottky Group, Kleinian Group, L-System and many more. Hundreds of built-in equations, transformations, orbit traps, and color controllers, allow the casual user to produce stunning fractal images while providing the experienced fractal developer a rich set of illustrative examples on which to build his/her own programs.

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image : 2008_05_13_01

2008-05-13T14:44:00.002+01:00

2008_05_13_01, originally uploaded by Alastair Montgomery.

Created with the Tierazon program.

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, 2008_04_15

2008-04-15T12:44:00.002+01:00

Couple of fractals I created with Tierazon.

Prints and postcards available

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, p10-4

2008-04-14T15:23:00.002+01:00

p10-4, originally uploaded by Alastair Montgomery.

Another fractal image from my old site.

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, fract40

2008-04-14T15:22:00.002+01:00

fract40, originally uploaded by Alastair Montgomery.

Another oldie but goodie.

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, Crasy Daisies by village9991

2008-04-11T16:16:00.002+01:00

Crasy Daisies, originally uploaded by village9991.

Another piece that's worth a look.

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, round, round baby

2008-04-08T12:32:00.001+01:00

Created with the Context Free program.

Round, round baby by ~sicklittlemonkey on deviant ART

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Context Free Software

2008-04-08T12:28:00.002+01:00

Context Free is a program that generates images from written instructions called a grammar. The program follows the instructions in a few seconds to create images that can contain millions of shapes.

CFDG is a simple language for generating stunning images. With only a few lines you can describe abstract art, beautiful organic scenery, and many kinds of fractals. It's highly addictive!

http://www.contextfreeart.org/

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, Tiled Wallpaper 2

2008-04-08T12:21:00.000+01:00

Another one which would be good as desktop wallpaper.

Fractal Tiled Wallpaper 2 by ~sicklittlemonkey on deviant ART

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, mTree

2008-04-08T11:36:00.001+01:00

Created with a piece of software called ContextFree which I need to reinstall.

mTree by ~sicklittlemonkey on deviant ART

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, Tiled Wallpaper

2008-04-08T11:32:00.001+01:00

Tiled image, after effects in Photoshop.

Fractal Tiled Wallpaper by ~sicklittlemonkey on deviant ART

Alastair's Fractals Main Page,
My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

Fractal Image, p10-10

2008-04-07T14:32:00.001+01:00

p10-10, originally uploaded by Alastair Montgomery.