I was daydreaming about a circuit laid out in a circle to optimize the trace length between components. I was thinking for audio amplifier to minimize signal path, but I suppose any circuit might work. Semiconductor chips could come in new packaging instead of square, they could be round for the center of the circuit, wedge for a multi component center, or wedge sections if they are farther out from the center of the circuit. (think the same of a piece of pie if you ate one bite off of the pointy end)
Everything done now is rectangular in a single or very few planes. Some circuit boards are multi later so the traces can pass each other. Semiconductors are multi layers of square components.
Computers are smart, they can do things. Compacting technology is becoming a geometry problem that we can outsource to some smart programing.