Digital Artform

Let's begin.

Set up some discrete tiled noise as described here.
Or simply download the Maya 6 scene file discreteNoise.mb from here

You'll need that recipe -- be sure to follow that link!

Set up a number of V-ramps. You'll need as many ramps as you have tiles to shuffle. If you intend to shuffle 3 texture maps, you'll need three ramps. You are by no means limited to three.

Set the interpolation in the V-ramps to "None" and design them so that they are razor sharp black and white bands. Make sure the white portions of the bands (when all the ramps are considered together) exactly cover [0..1] V-parameter space without either underlapping or overlapping.

Run the quantized noise through the V-ramps by connecting the red channel of the noise outColor to the vCoord of the ramp input.

Notice what happens to the ramps after these connections are made. They become white blocks.

The "lower white-banded" ramp now becomes the set of all noise blocks that were dark gray.

The "middle white-banded ramp" now becomes the set of all noise blocks that were middle gray.

The "upper white-banded" ramp now becomes the set of all noise blocks that were bright gray.

Those blocks will become mattes that will control the presence or absence of one tile or another.

In effect we tile the objects three times over. Once with a solid grid of nothing but tile A, once with a solid grid of nothing but tile B, and once with a solid grid of nothing but tile C. Tricky compositing (from within the Maya shader) accomplishes the "shuffling."

By multiplying the grid of textures by the appropriate mattes, and by adding all the pieces together with the layered texture node, we cover the entire object with random textures.

If you forget to "repeat tile" the textures, you'll end up with this. The noise is a grid of blocks, so the textures must be a matching grid of blocks.

The noise in this case is tiled into a 10x10 grid, so you'll need to make sure you go into the place2dTexture node of each map and set the "repeats" for the texture tiling so as to create the same 10x10 grid of repeated textures.

Like so.

Remember: you can add more tiles and more ramps, just make sure you set the ramp spaces accordingly.

By adjusting the ramp ranges, you can skew the proportions by which each tile is represented.

If you create off-center features in your tiles (like the stars and moons above) and if you enable the "mirror" option in the place2dTexture nodes, you can "jiggle the grid" a little more and further the illusion of variety.

I understand Renderman may have this "shuffled texture" functionality built into it. Maya should add it.