I use this formula (2-direction repeating grid) quite a lot with the work I do to arrange wine bottles in racks:
and I came up with this one for repeating in 3 directions:
I’m struggling currently with getting bottles to populate a diamond- or triangle-shaped space (see picture). Can anyone think of a way to mathematically fill the space only with copies of a single bottle?
So 1. How bowling pins are counted, front to back in rows
and 2. a half grid, where each row contains one less than the one before it
I get that I could just turn a square grid on it’s side for the diamond, but to add some visual diversity I have it generate a random number of copies, which would need to start at the bottom and work their way up, for obvious reasons