I live on the west side of the valley, seven miles outside of town but only 3 miles from a building supply yard, and also the main concrete block supply, Williamette Graystone. So I go to the blockyard for inexpensive deco blocks, like lately completing a walkway out the back of red, hexagonal, one-footers. Fun and a pretty, ongoing evolving pattern. ANYWAY, there I am ordering a few blocks, and I'm looking at the front floor. There are four sizes of stone-tile squares and rectangles, and I see no signs of repetition of pattern. THIS IS COOL, DONTCHA THINK?

yeah. so

So, so, suck your toe.. uh, sorry, a recent Nobel Prize went to the recognition of quasi-crystals, yah?

What happens with two rectangles, or three?

O.K. ssswwwuffftt. Want a hit . That is some good stuff . Why didn't you say it was all about crystal logic? That is some heavy duty weed my friend.
Are you going to do your patio walkway like that ?

No but patterns are certainly fascinating, so, what's the answer? I'll ione day photo this floor, it's cool to look at while waiting on the counter, and it is... free.. . . Out my backdoor and low patio, I am layijg red concrete hex stepstones, and this is pattern fun.

Is laying floors exothermic or endothermic? I guess ur seeing endothermic layouts (cool).

Edit .. cautionary tale .. about 15 years ago I laid a lot of tiles .. with hindsight they ain't eggsackly flat .. the superior person would probly whip 'em up and do 'em again .. laying (big) tiles at age 45 ain't so bad .. getting on for sixty I can find (many) better things to do with my time.

Yup tiles are fired in kilns and are never enttirely flat, unless they can "anneal" or slow cool at the end of the process as with glass. I hear you, Confused1, I lived with a tilesetter in Sonoma County, California, near Occidental in hte redwoods, for seven years. Her name is Diane Masura-Rau, and I helped her load her water bucket diamond-blade saw. She did fancy tile jobs in Bodega Bay. We are still fine friends; 3 yrs. ago I built out the hearth in my newer house, and buttered my own two feet (by four) of tile. Weee, and I was amazed that nothing cracked as I carefully slid in a 300+ pound new woodstove.

MORE BUTTER.Then you can push down the high ones, you gotta have a crapsman's eyes... I did make thick leather "sandals" for the four iron legs.In my piano shop are some pieces of thick horsehide and good cutters. Incidentally, the legs of this woodstove get hot not at all !

I can't find anything in WIKI like tile patterns or repeatable patterns.

i guess trade secrets are not so important as string theory. I wonder if they say anything about Celtic knots? Now that is some hella patterning

There must be some simple answers, like with two pieces or three, can we avoid repetition?