The Archimedian Spiral.

[Mathias Schnell]

This is the formula that I found on Wikipedia for the Archimedian Spiral (in polar coordinates).

R = A + B * theta

Where R is radius, A determines the number of spirals, B determines the distance between the spiral arms, and theta is the degree of rotation.

Now what I want to do is have a line that has one end follow the path of an Archimedian Spiral and the other stay at a fixed point. Also, while the line follows the path of the spiral, I'd like it to fill in the space it passes over with color (or an assload of line copies, whichever is better).

Now I've tried this with Actionscript and a 1 x 50 pixel line, but to no avail. Any help would be great.

[ozmic66]

here's some code that would draw the spiral

copy and paste and it should work

seg = 1000

a=2 //spirals
b=1 //dist

mX=200
mY=200

maxTheta = Math.PI*2 * 6

_root.lineStyle(1)
_root.moveTo(mX,mY)

for(i=0;i<seg;i++){
	cP = i/(seg-1)
	theta = (maxTheta) * cP
	r = a + b * theta
	
	cX = Math.sin(theta)*r
	cY = Math.cos(theta)*r
	
	_root.lineTo(cX+mX,cY+mY)
}

[Mathias Schnell]

If you don't mind my asking, could you explain the code? If it's too much of a hassle, don't worry about it, but I just like to know the details of things.

I know the math formulas and the for loop, but most of the other stuff is new functions and/or variables to me.