Math 2.0

Concept

Perfect ruler

Summary

A perfect ruler of length ℓ\ell is a ruler with integer markings a1=0<a2<⋯<an=ℓa_1=0 < a_2 < \dots < a_n=\ell, for which there exists an integer mm such that any positive integer k≤mk\leq m is uniquely expressed as the difference k=ai−ajk=a_i-a_j for some i,ji,j. This is referred to as an mm-perfect ruler.

Further reading

  1. Wikipedia, page 2515712, revision 1372901448, Perfect ruler. adopted
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