### Space FillingPoints in a Sphere

Falloff 0.0 to 9.8

#### Filling a Circle (2D)

Get a random xy point in a unit square.

Find distance to center.

If distance greater than 1.0 try again.
This will avoid processing points that are in the "corners" of the unit square.

Calculate a target radius,
target_rad = pow( 1 - distance, falloff)
where falloff are values such as,
0.0 uniform radial filling of the unit circle,
 ```import random, math width = 0.004 def scatter2d(falloff, num, frame): accepted = 0 fname = '/Users/malcolm/distribution2d.%d.rib' % frame f = open(fname, 'w') f.write('Points "P" [\n') while accepted < num: x = random.uniform(-1.0, 1.0) y = random.uniform(-1.0, 1.0) distance = math.sqrt(x * x + y * y) if distance > 1: continue target_rad = math.pow( (1.0 - distance), falloff) probability = random.random() if(probability <= target_rad): # and math.fabs(y) <= target_rad): f.write('%1.3f %1.3f 0 \n' % (x,y)) accepted += 1 f.write('] "constantwidth" [%1.3f]\n' % width) f.close() return accepted incr = 0.2 for j in range(50): random.seed(1) falloff = j * incr scatter2d(falloff, 40000, j) print falloff```