Al's Fractals: November 2009

Tuesday, 24 November 2009

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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Friday, 20 November 2009

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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Thursday, 19 November 2009

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

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

Wednesday, 18 November 2009

"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."