SACH-SAWCH

Copernicus Copernicus? This is as good a place to introduce an old idea that nobody thought to apply to walking. And since we are going ground up, it makes sense to not have to back track on this later. If you were a super high paid gear maker back in the days when the sun went around the earth and some planets meandered back & forth in the sky, then you were in high demand to make the boxes of gears it took to simulate that in a model that you crank. Epicycles. With enough epicycle gears, you can trace any path you like, including sun circles and Mars doing a celestial two step.

BUT … IF - instead of centering the EARTH – you center the sun? Most of the gears go away. Boxes of them. You only need one gear per planet.

Gear makers go to the bread lines… So given a person walking over uneven ground seeking to travel a level low amplitude sinusoidal path at steady velocity, we need to solve many