Category:Single 3-bit Walsh permutations; transform binary times binary; RGB balls

This set shows not only the transformations for the 168 binary matrices (like the similar transformations of a skeletonic cube), but also of the real products of any two of them.

These are 2562 matrices with entries between 0 and 3. Their entries modulo 2 give the corresponding binary matrix.

All resulting parallelepipeds have volume 1 (although this does not look intuitive for files like this and that).

Disregarding vertex colors, there are 427 different shapes, each in 6 color variants. These six versions and their matrices are shown on the page of each file.

The colors of the projected vertices are repeated in each representation of the octant cube (64 in each image).
So in each subcategory one can see, that all vertex colors stay the same.

The colors represent these numbers:

The (color coded) numbers in each octant cube are the same as in the gray cube in the bottom left corner of the SVG overviews.
(Both show the result of applying the permutation, which must not be confused with the permutation itself!)

3 different transformations corresponding to Walsh permutation 216, the left one with a binary transformation matrix   (for others see the subcategory)
The result in the left image is like this skeleton. In each image the numbers on the cube vertices are like in this SVG overview.