After the post on Unlimited Detail, here is another example of something which may be seen as (facilitating the) computing with space: the Leap, by Leap Motion.
I see a difference and a common point, when I look at both.
Difference: The Leap, by is a finished, or almost, product, while Unlimited detail, by Euclideon, is still in development.
Common point: In both cases it is stressed that the respective products are outcomes of mathematical breakthroughs!