The dichotomy paradox has one purpose for philosophical reasoning and another for dimensional tolerance. If it's 1m to the wall, "halfway" is 0.5m. Half of that is 0.25m. Half of that is .125m. Half of that should theoretically be 0.0625m but for practical purposes, "walking" and "half a millimeter" do not coincide in the solution space. The tolerance of human locomotion is on a millimeter scale. As such, it's not 0.0625, it's 0.063, half of that is 0.032, half of that is 0.016, half of that is 0.008, half of that is 0.004, half of that is 0.002, half of that is 0.001 and with your next half step, you're going to bump the wall. Nine steps and your nose touches gyp board.
For Zeno's purposes you can fold a piece of paper in half forever (or never because, you know, philosophy). For an origamist's purposes you can fold it in half four, five times tops before it's an indeterminate wad. Gaussian tacos don't address the fact that a straight fold, where the radius goes (practically) to zero, are every bit as strong as a curve.