Create computers of a very different form factors: for example, as thin as a piece of paper (2D), or as thin as string (1D), in contrast to our box-like 3D computers today. It will require different technologies to fit a computer into these constraints.
There's the old puzzle of minimizing the number of NAND gates to allow two signals to cross on a plane.
In 2D, heat dissipation will not be a problem! Heat dissipates via the third dimension.
This is a solution in search of a problem. Wearable computers?
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