DCs: Repeating a Sub Component in a Triangle or Diamond pattern

[bthomas3]

I use this formula (2-direction repeating grid) quite a lot with the work I do to arrange wine bottles in racks:
https://help.sketchup.com/en/article/114548

and I came up with this one for repeating in 3 directions:

Repeating a sub-component within a Dynamic Component (3 Dimensions)

I’ve used this formula more times than I can count: Repeating a sub-component within a dynamic component (2 Dimensions) | SketchUp Help (Repeating a sub-component within a Dynamic Component (2 Dimensions) I’ve looked and looked, but couldn’t find any 3-direction arrays, so I came up with one. Same basic premise with an added level. Here’s how I organize: xSpa(cing) - distance between columns across ySpa(cing) - distance between rows front-to-back zSpa(cing) - distance between rows bottom-…

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