The Road Behind
Walk around inside RP³ from the inside, and feel how its loop closes.
Walking the shape of the space
RP³ is where the framework's argument lands: the space of orientations an embodied perspective acts within, and the set of points complex conjugation leaves fixed. It is a closed three-manifold, and here you can move around inside its shape and feel how it closes. It makes no claim that light circumnavigates actual space; the point is the geometry, walkable.
The road is a full closed loop through RP³, and that loop is the generator of the space's fundamental group, π₁(RP³) = ℤ₂. Follow it halfway and you return to a mirror image of where you started; follow it all the way and the mirror resolves. The flip rides on the one-sidedness of the surface the loop traces, which the loop itself causes.
That two-valuedness is the structure the argument leans on, and this is it made walkable. The anchor page is where it does its work.
Everything here is drawn exactly: the loop, the mirror return, and the way the surface closes are the true geometry of RP³, made walkable. It teaches the stage the framework plays on, and it stands apart from the argument the rest of the site makes.