3-bit Walsh permutation/ortho/comet

This page shows essentially the same information as the parent page. But the example object used is simpler than the JF compound. It is basically a cube with face colors corresponding to the coordinate axes. Details in white and gold are added to make sure the object has no symmetry. This layout makes some relationships easier to see. (It is hard to see where and  belongs, but easy to see where  and  belongs.) But it obfuscates the mirroring of back and front. (It is easy to see how and  are related, but hard to see how  and  are related.)

There are 252 different orthographic projections. They form 63 groups of four, that look similar. They are all shown below. Within such a group, each image has a reflection at the antidiagonal and a reflection of back and front.

Some images also have horizontally or vertically mirrored equivalents. And a few have all eight rotations and reflections in the. (These are all in the third section. The former in 24 rectangles and 48 long parallelograms, the latter in 48 hexagons.)