Nine contacts land in a ninety-minute window. The model books each one in the interval where it begins. The floor holds it until it ends. Shorten the ruler and the two readings drift apart, the same nine contacts read across more and more walls, and once the ruler is shorter than the work itself, not one contact fits inside a single interval.
The numbers here are simulated. Move them.
The same day under different rulers
The ruler
Wall lines redraw at the new length. The nine contact bars never move.
The work
How long each contact runs once it starts. The wall can be crossed from either direction: stretch the work past the ruler, or shrink the ruler under the work.
Cross a wall
5 of 9
56% of the day’s contacts
Mean walls crossed
0.56
per contact, this day
Intervals under-read
2 of 3
touched exceeds booked
the ruler is longer than the work
a contact, start to finishbooked: the interval it starts intouched: every interval it is present inunder-read interval
The separation curve
The model books a contact in the interval it began. The floor is still working it in the next one. Precision on arrivals is not accuracy about the floor. Shorten the interval far enough and wall crossings multiply without adding a minute of work, and the two readings drift apart while the day stays exactly the same. The numbers here are simulated.
View the counts as a table
Booked and touched per interval: 30-minute intervals, an 18-minute handle time. Touched sums to 14 against 9 booked because a contact that crosses a wall is read again in every interval it reaches: more reads, never more work.