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Besides tiling your bathroom is there any use case for this? Or is this pure for fun and gaining knowledge?

Edit: The article is talking about building structures but isn't a triangle the most rigid form? And triangles are already used in building.

Sure there are. There are many processes where you want to "tile" a surface with identical smaller parts. I'd assume it's something that happens with solar panels. Possibly also on the molecular level with coatings etc. Having more options for the shape of the constituent parts may be an advantage.

see also https://en.wikipedia.org/wiki/Buckminsterfullerene, a molecule inspired by architecture.

Can I actually tile my bathroom with tiles like this? Do any tile manufacturers make them that shape?

EDIT: I found these, at least http://www.ballerhouse.com/2010/08/19/precision-concrete-til...

They probably will.

Should it be discounted if it were done for pure fun?

It's a question, not an opinion. He/she might just be interested in the practicalities.

Of course not. I'm just curious about the possibilities.

I am buying a house and the bathrooms need updating, so tiling your bathroom is actually the first thing that came to mind.

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