Glad to learn about cutlistoptimizer as I looked casually for something like that in the past. I’ll have to figure out how to feed it from Fusion360. Also interesting to learn that Japanese “2x4”s are in that ratio exactly. In the US, they’re 1/2” under nominal size (so 1.5” by 3.5”). Makes it awkward to stack pieces together at times. (2 2x2s next to each other in the US are smaller than a 2x4.)
I knew about the smaller 2x4s, but now I have a sudden irrational anger that the 2x2s are not also smaller... How 2x4s depreciate according to Twin Peaks: [0]. It appears in the US they start out at 2x4 and are trimmed down to make them look more finished. [0] https://m.youtube.com/watch?v=txPcLOtbG3s EDIT to ask if OP means 'bigger' rather than 'smaller'?
If you still want to have anger, you can take solace that 2 1x2s do stack up to be (very close to) a 2x2, but 2 2x2s do not make a 2x4.
https://www.archtoolbox.com/materials-systems/wood-plastic-c...