If you really want "small tiles to such precise specification", you can get stone cut with a waterjet...
https://www.waterjetwonders.com/
...but that doesn't seem to be required. I guess it depends on how much you hate grout lines. My square 18" (45 cm) tiles have grout lines that are about 3/8" (1 cm) thick. There is plenty of wiggle room for inaccuracy. You could cut down big tiles with a chop saw.
If you want thin grout lines, or even none at all, you can pay for that. Using a waterjet might also save on wasted stone, which could matter if you use something costly like jade or lapis lazuli.
They wouldn't need to be numbered. There are not very many distinct shapes. It looks like a dozen, judging from those images somebody posted. (last 6 at the bottom of the page) Maybe you'd need numbering if you had the supplier cut unique edge tiles, but you could just cut those when installing.
Comments
If you really want "small tiles to such precise specification", you can get stone cut with a waterjet... https://www.waterjetwonders.com/
...but that doesn't seem to be required. I guess it depends on how much you hate grout lines. My square 18" (45 cm) tiles have grout lines that are about 3/8" (1 cm) thick. There is plenty of wiggle room for inaccuracy. You could cut down big tiles with a chop saw.
If you want thin grout lines, or even none at all, you can pay for that. Using a waterjet might also save on wasted stone, which could matter if you use something costly like jade or lapis lazuli.
They wouldn't need to be numbered. There are not very many distinct shapes. It looks like a dozen, judging from those images somebody posted. (last 6 at the bottom of the page) Maybe you'd need numbering if you had the supplier cut unique edge tiles, but you could just cut those when installing.