Baron von Puttyngton versus the Cancerous M.C. Escher Maze of Cheese

For reasons we won't go into here, a series of mazes are growing, like cancerous tumors, in the middle of calm skies... and yes, they are made of cheese.

You play the part of the heroic Baron von Puttyngton in this geometrical fugue, a dashing cube of jiggling gelatin, seen from a view that would be described as over-the-shoulder, had you shoulders. (Over the vertex?) Your goal is to neutralise the spread of these mazes, by touching (and turning blue) each of its segments... faster than it keeps spawning them, off in every direction.

Rude and unruly, the cheese-mazes have no respect for the conventional, 2D layouts of mazes, and randomly sprout in all directions. Often this will yield wall sections that you need to touch, with nothing but the yawn of an endless sky beneath. Fortunately, in addition to your shimmying cubic jump, endless lives and controls so subtle you'll figure out why you turned the way you did next week, you also have the ability to alter gravity's "down" pull relative to where you're facing. Those pesky walls are now floors! (The Escherian element, revealed!). Turn them all blue by touching them and move on to the next maze!