A few weeks back, I saw a hackaday article about puzzle boxes, and watched the video in which [Kagen Sound] explains how he makes his puzzle boxes.

Around the 6:36 minute mark, he explains how he makes something he calls the “Cafe Wall” shifting illusion. Being a beginning woodworker, I was intrigued by the process, but also by what you can do with a seemingly simple pattern.
The pattern he makes is made up of a basic 2×3 block with 5 diagonal stripes:

This pattern is combined into a long strip by combining them on the short side with alternating directions, to create a crude wave pattern.

He then makes this into a surface by adding 5 of these strips on top of each other, each even row flipped:

By shifting the two even strips, various interesting patterns emerge

Shifted 1 unit to the right
Shifted 2 units to the right
Shifted 3 units to the right

Other shifts are also possible:

Shift each row 1 unit to the right with regard to the layer above
Shift each row 2 units to the right with regard to the layer above

Other somewhat regular shifts are also possible:

Shift each even row 2 units with regard to the layer above, each odd row 1 back with regard to the layer above
Shift each even row 2 units with regard to the layer above, each odd row 2 back with regard to the layer above
Shift two rows by 1 unit
shift two rows by 2 units
Shift two rows by 3 units

I’m really impressed how such a simple pattern can be used to create such complicated designs!
Using a few vertical shifts as well, you can get even more interesting patterns.

There’s probably a few other patterns that are really interesting, from one (or two, if you don’t count mirroring) simple tiles.

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