Noise - Ball

These images are direct visualizations of the space of lattice noise. Lattice noise is a method by which random values between -1 and 1 are assigned to points on a finite 3 dimensional grid (a subset of N³), and a procedure is used to interpolate these values so as to assign a value between -1 and 1 to every point in R³.

These images show a spherical segment of the lattice space, and are colored as follows: If the noise value at a point is greater than 0, the object is solid at that point. The color of the object is proportional to the noise value at that point - red indicating a noise value of 0 itself. A feature of lattice noise is that points that are close together in R³ have similar noise values, while points far away may have very different noise values. This property is shown by the images here - each image shows a progressively larger segment of the lattice space, yielding a more and more compacted ball.