Approximating Spheres with Boxes

radius

1

sampling rate

4

Using cubes, you can approximate the shape of a sphere of a given radius. By sliding the sampling rate

s

up and down, you can add and subtract the number of cubes in a uniform manner. Using spherical coordinates

θ

and

ϕ

, the sample rate takes a reading every

π/s

radians up to

2π

for the

θ

angle and every

π/s

radians up to

π

for the

ϕ

angle.