Shapes

Five shapes of the working day

Two days of the same length behave one way. Two days of different lengths do not.

Part two

9 notes in this part

Five arrangements of the working day, written down before any of the counting and not adjusted since. The only invented thing in this record.

Reference

Early, standard and late are one eight-hour block in three positions. The offset they carry between them behaves exactly like a gap.

Analysis

A nine-hour day against an eight-hour one absorbs the first hour of gap completely, in one direction and not the other.

Analysis

The split shape reaches a gap of nine, which nothing else here manages, and it is at its worst in the middle, which nothing else does either.

Analysis

Forty-nine arrangements deliver their shared time in more than one piece. Every one of them involves the split shape.

Reference

Five shapes at each end and twenty-five gaps: six hundred and twenty-five arrangements, all computed. The extremes, and how many leave nothing.

Reference

An early day against a late one runs out two hours sooner than an identical pair. The two shapes have added a gap of their own.

Analysis

Two broken days still share an hour at a gap of nine. They pay for it by sharing least where most arrangements actually sit.

Analysis

Rearranging your own working day is the only lever either end controls without moving. Here is the exact size of it.

Analysis