You’re talking about what I’ve been calling valid clock faces, the faces of a working clock. That set forms a circle. Right here I’m talking about what we’ve been calling the set of possible clock faces, where we no longer assume the gears of the clock are constraining the positions of the hands. This set forms a two-dimensional torus, the surface of a donut.
You’re talking about what I’ve been calling valid clock faces, the faces of a working clock. That set forms a circle. Right here I’m talking about what we’ve been calling the set of possible clock faces, where we no longer assume the gears of the clock are constraining the positions of the hands. This set forms a two-dimensional torus, the surface of a donut.