[wideawake]

The problem with this is that it was not a "mathematical discovery" but simply tile makers experimenting with patterns that they found attractive.

There are thousands or more of possible tile shapes that can generate a "quasicrystal" or "aperiodic tiling" or "Penrose tiling."

In fact, any decagon-shaped tile that overlaps two ways generates a quasicrystal pattern.

So, of the millions of mosaics made by Muslim floor tilers over an 800 year period, exactly one decided to use a standard Muslim girih decagon with a slightly different decorative flourish that happened to generate a quasicrystal.

This was not the work of an Islamic mathematician coming up with an ingenious equation which he then used to create the tiles. It was the work of an artisan who liked making fancy-looking tiles, and this particular one randomly happened to have an interesting property.

There is no record that any Muslim even noticed this pattern as being extraordinary in any way other than its attractiveness or that it had any mathematical import.

[Dr. Bogus Pachysandra]

“this particular one randomly happened to have an interesting property.”
Bingo! These two “scholars” need to get a life! What a waste of time,,,,,,,,

[null and void]

There is no record that any Muslim even noticed this pattern as being extraordinary in any way other than its attractiveness or that it had any mathematical import.

Bingo.

Even a one-eyed mullah will occasionally find hees nuts...

[colorado tanker]

I agree with you, wideawake. Much more likely this resulted from random chance than mastery of the mathematics of these crystals. Otherwise, wouldn’t there be more of them?