[isoprophlex]

You need pretty strict tolerances on the dimensions of this Spectre tile, I think. Normal Penrose tiles might be easier.

That said I have no idea in the first place how you'd get your hands on bespoke tiles...

[Doxin]

The grout when tiling allows for a fair amount of fudging things, though from experience exactly dimensioned tiles are MUCH easier to work with.

[masfuerte]

With periodic tilings you can uniformly scale them to make room for grout of any thickness. Intuitively, it seems like aperiodic tiles would have to be manufactured slightly too small to leave room for grout, and the tiling would only work if the grout was exactly the right thickness. I wouldn't want to lay them.

[Doxin]

Oh that's an interesting point actually. I hadn't considered the tiles needing to be designed around the grout width. Still, I don't think you'd need to be particularly exact with the tiles or grout. In fact it would probably be best to eyeball it and make sure you work outward from a single spot. Trying to tile by e.g. starting around the outside edges and working inwards is bound to get you in trouble with compounding error.

This is sounding like a more interesting project by the minute.

[masfuerte]

On reflection I've realised my point was nonsense. Sorry.

[Doxin]

It's not nonsense. The fact that aperiodic tiles like these need to be designed for a specific grout width is non-obvious and quite interesting.