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Comment by victorbojica | Hacker News Reader

What are the real life usages of this?

If nothing else, you could use the shape for floor tiles.

And if you use them in your house, future archeologists could definitely date your ruins to no earlier than 2022/2023. If you had a document and wanted to prevent it from being “backdated” earlier than 2022/2023, you could use the tiling pattern as a background. A geometric time stamp of sorts.

Either that, or it would upend the future understanding of our progress in geometry if you print it with old ink on old stock paper that’s dated substantially earlier than 2022/23.

Very interesting idea! We just have to be sure that these tiles don't already exists in some crystals or materials, in biological creatures, or somewhere else.

I heard the construction workers were very frustrated when they had to use aperiodic tiling on the floor of Oxford's Mathematical Institute.

When I think of groups that ave it too easy, I think of construction workers. Academia, now there's real work.

Sadly floor tiles have clear up and down sides, and this tiling requires them to be flipped now and then.

But if you could also get them in four colors, it'd still be a kind of ultimate mathematical floor.

Procedural generation in games: Dungeon/Map generation or for combining or creating textures. And you could also used this maybe as an alternative to grid or hexagonal based games.

What makes this stand out is, that you can create larger structures of simple tiles, where repeating patterns and seams between tiles are less visible.

Imagine, gods forbid, getting lost in such a labirynth... 8(

Exactly this probably doesn't have any, but better math leads to better matter/material in general.

Trolling... I mean, throttling video cards ) Making untiling textures.

Also, this probably could have uses in watermarking and encryption (if you want to do so, I'm not patenting this, just give credits :D )

To optimize surface use in industrial print plants, orders are gathered, and they need to be combined in some way.

Not sure this particular tiling can help, but this popped immediately in my mind.

Isn't tiling knowledge pretty useful in games? Specifically how to layout textures on a massive field.

I’d imagine chemistry as well. With that many interlocking places, a molecule like that could be an interesting 2D material.

It could be a post-GPT watermark. If a document used this tiling pattern as a (faint) background, you could say definitively that the document was produced in the GPT era and thus might simply be automated babble.

Will it be possible to make crystal structures from this?

Camouflage fabric ?

Art

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