# Recent Blogs Posts

1. #### Romanesco broccoli pattern 2D shader

by , 08-31-2012 at 07:39 AM photo: Romanesco broccoli

I started playing with fractal shaders and in particularity I wanted to reproduce romanesco broccoli in SL. At first it was just a simple experiment but after each obstacle I got more persistent so eventually I discovered the world of calculus.
I'm going to skip the theory part about phyllotaxis, Fibonacci etc and get straight to the shader math. Good site that explains it all is: http://www.math.smith.edu/phyllo/

First off we need to convert our UVs from cartesian to polar coordinate system Code:
` r = sqrt( pow( x, 2 ) + pow( y, 2 ));` Code:
```theta = atan( x, y) + PI;
// Note that PI offset has been added for polar translation
// equation to work (for secondary florets)```
Next, Golden Angle for distribution pattern. Code:
`golden = PI*(3-sqrt(5));`
To draw a secondary florets or a circle on polar coordinates we can use polar translation equations Code:
`r2 = sqrt(r*r-2*r*r0*cos( theta-th0 )+r0*r0);` ... 0 Comments
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