Crystal 5

Created with Context Free

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From Crystals to Spirals

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

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

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 }}


Alastair's Fractals Main Page,
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© Alastair Montgomery 2008

Context free tree edit

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

Context Free Fractal Tree created with the Context Free software

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My Shop at CafePress, My Shop at Zazzle Sign My Guestbook

© Alastair Montgomery 2008

"Mandelbulb," a 3D Mandlebrot Construct, Discovered

 

 

 

"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."

Read more of this story at Slashdot.

 

 

 

 

Mandelbrot and Lambda Fractals

A couple of new images created with gnoFract 4d.

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

© Alastair Montgomery 2008

Evolvotron

Evolvotron, originally uploaded by Alastair Montgomery.

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

Mandelbrot 010

Mandelbrot 010, originally uploaded by Alastair Montgomery.

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

Mandelbrot 009

Mandelbrot 009, originally uploaded by Alastair Montgomery.

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

Mandelbrot 008

Mandelbrot 008, originally uploaded by Alastair Montgomery.

-----------------------------------
gnofract4d parameter file
version=3.10
compressed=[
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g+hTbTes/9J/E6191sYqFC2t28GiLF+JzdT8L7agw3IoBwAA

]

Xaos 02

Xaos 02, originally uploaded by Alastair Montgomery.

Created with Xaos

Mandelbrot7

Mandelbrot7, originally uploaded by Alastair Montgomery.

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

Fractal Zoom Test short video

Fractal Zoom Test
Originally uploaded by Alastair Montgomery

Testing the zoom functions in Gnofract

Mandelbrot 6

Mandelbrot 6, originally uploaded by Alastair Montgomery.

More fun with Gnofract 4d on Ubuntu

Quadratic 003

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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]

Mandelbrot004 Big

Mandelbrot004 Big, originally uploaded by Alastair Montgomery.

Created with Gnofract 4d, edited in The Gimp

Quadratic

Quadratic, originally uploaded by Alastair Montgomery.

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

Other peoples work

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

© Alastair Montgomery 2008

Mandelbrot004

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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B/lRB0F4BQAA

]

Mandelbrot003

Mandelbrot003, originally uploaded by Alastair Montgomery.

Created on GnoFract on Ubuntu 9.04

Mandelbrot002

Mandelbrot002, originally uploaded by Alastair Montgomery.

Created on GnoFract on Ubuntu 9.04

Mandelbrot by GnoFract 4D

Mandelbrot2, originally uploaded by Alastair Montgomery.

Created with Gnofract 4D

Fraqtive 001

Fraqtive 001, originally uploaded by Alastair Montgomery.

Created with Fraqtive on Ubuntu 9.04

Xaos Fractal 1

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

© Alastair Montgomery 2008