I designed a system of gridded beams.

My hope was that with just two types of pieces, grids of arbitrary size could be "woven" together.

Unfortunately, putting weight on the structure exposes weakness where the beams ought to join in to each other.

This could potentially be solved with a slotted joiner. But I think it might be simpler to just cut longer beams.

When the beams span the entire floor, the structure is stable enough to support weight (at least my weight).

That structure is 8in by 8in in x-y. The beams have a 2in "unit". It is 10in high (column is 8in plus 1in on top and bottom where the columns would repeat).

So now my plan is to cut out beams of different lengths (4in to 20in in increments of 2in) and also columns of different heights (2in to 12in in increments of 2in).

These beams and columns will be used to build out the skeleton of the shelving in real space. The gridding beams would then only be added as the last step. So the idea is to rapidly assemble the overall shape that you want and then reinforce the structure as the last step.