Stop 1 of 4. Senses and abilities
The running sum, and the displacement that reveals it
Begin with the computation itself, because the experiment is what makes it undeniable. An animal retracing its route and an animal integrating one behave identically until you move it — then the first is lost and the second runs a straight line it has never walked. The systematic error in that line is the fingerprint of an approximation rather than a memory.
Read Path integrationPick up an ant that has just found food, put it down a hundred metres away, and it will run the exact course home was from where you took it — into empty ground.