Yingri Guan

23 Jan 2014

I am always fascinated by the complexity of fractals. I was inspired to create a 3D fractal. However, the design came out to be a little disappointment as I wished to have more intricate structures in the design.

 

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image

 

This parametric design made reference to the design by Espen Skjervold.
Code:

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//Referenced Espen Skjervold's work 2013
 
 
 
//constants
maxX=20;			//< -- less important, size of the biggest object
sizeFactor=2.3;   //<-- The size factor between an object and its child objects. The smaller the factor, the larger the children will be. 
 
 
fractal(4); // <--- render the fractal with n number of levels
 
 
 
//Recursive method
module fractal(levels, i=1, xPos=0, yPos=0, zPos=0) {			
 
	currentFactor=pow(sizeFactor,i);
	x=maxX/currentFactor;
 
 
	if (i<=levels) {
 
 
		//top	
		fractal(levels, i+1, xPos , yPos , zPos);
		fractal(levels, i+1, xPos , yPos , zPos);
		fractal(levels, i+1, xPos*2 , yPos*2 , zPos*0.5);
		fractal(levels, i+1, xPos*0.7 , yPos*0.5 , zPos*0.4 );
		fractal(levels, i+1, xPos +x/2, yPos + x/2, zPos + x/2);
		fractal(levels, i+1, xPos -x/2, yPos + x/2, zPos + x/2);
		fractal(levels, i+1, xPos +x/2, yPos - x/2, zPos + x/2);
		fractal(levels, i+1, xPos -x/2, yPos - x/2, zPos + x/2);
 
		//bottom	
		fractal(levels, i+1, xPos , -yPos , -zPos );
		fractal(levels, i+1, xPos , yPos , -zPos );
		fractal(levels, i+1, xPos*3 , yPos*3 , -zPos*3 );
		fractal(levels, i+1, xPos*0.2 , yPos*0.4 , -zPos*0.5 );
		fractal(levels, i+1, xPos*1.3 , yPos*1.5 , -zPos*2 );
		fractal(levels, i+1, xPos*0.7 , yPos*0.5 , -zPos*0.4 );
		fractal(levels, i+1, xPos +x/2, yPos + x/2, -zPos - x/2);
		fractal(levels, i+1, xPos -x/2, yPos + x/2, -zPos - x/2);
		fractal(levels, i+1, xPos +x/2, yPos - x/2, -zPos - x/2);
		fractal(levels, i+1, xPos -x/2, yPos - x/2, -zPos - x/2);
 
 
		makeCube(x, xPos, yPos, zPos, i);
	}
 
 
 
}
 
 
//The actual rendering of each object
module makeCube(x, xPos, yPos, zPos, level) {
 
	union() {
 
		translate([xPos+x/2, yPos, zPos]) 
			color(["Coral"]) 
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos-x/2, yPos, zPos]) 
			color(["Coral"]) 
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos+x/2, zPos]) 
			color(["Coral"])  
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos-x/2, zPos]) 
			color(["Coral"])  
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos, zPos+x/2])
			color(["Coral"])    
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos, zPos-x/2])
			color(["Coral"])   
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos*0.5, -zPos]) 
			color(["Coral"])  
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos*0.5, zPos]) 
			color(["Coral"])  
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos, -zPos*0.5]) 
			color(["Coral"])  
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos, zPos*0.5]) 
			color(["Coral"])  
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos*0.5, yPos, -zPos]) 
			color(["Coral"])   
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos*0.5, yPos, zPos]) 
			color(["Coral"]) 
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos*0.5, yPos*0.5, -zPos]) 
			color(["Coral"])   
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos*0.5, yPos*0.5, zPos]) 
			color(["Coral"])   
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos*2, yPos*2, -zPos])
			color(["Coral"])   
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos*2, yPos*2, zPos])
			color(["Coral"])     
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos*2, -zPos*2])
			color(["Coral"])    
			cube((x)/1.4, center=true, $fn=10 );
 
		translate([xPos, yPos*2, zPos*2]) 
			color(["Coral"])   
			cube((x)/1.4, center=true, $fn=10 );
 
	}		
}