Chapter 3 · Motion and state

Read motion and memory

Separate repeated-state clues, ordered waiting, and weighted movement.

Canonical H takes long fast strides behind canonical Leo taking shorter steps on the same circular Big O City park track, with both footprint trails curving in one direction toward a meeting.

Picture path

  1. H takes the fast stride behind Leo on the same looping track until their paths meet. What detects the cycle?Compare their speeds; the loop is proven when the faster traveller catches the slower one.
  2. Fresh footprints arrive at an older matching footprint on the same route. What proves the loop?The decisive evidence is not a sad return; it is recognizing a state that was marked earlier.
  3. A taller arrival makes shorter waiting figures leave from the same end until order returns. What structure behavior is this?Watch which figures are removed and where; only the obstructing top figures leave.
  4. A lantern carrier chooses the nearest unsettled junction while unequal corridors remain dark. What path method is this?The corridors do not cost the same, so the next place is chosen by the cheapest known distance.