1971 IMO Problems/Problem 5: Difference between revisions
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Prove that for every natural number m; there exists a finite set S of points | Prove that for every natural number <math>m</math>; there exists a finite set <math>S</math> of points in a plane with the following property: For every point <math>A</math> in <math>S</math>; there are exactly <math>m</math> points in <math>S</math> which are at unit distance from <math>A</math>. | ||
in a plane with the following property: For every point A in S; there are | |||
exactly m points in S which are at unit distance from A. | |||
Revision as of 13:06, 29 January 2021
Prove that for every natural number 
; there exists a finite set 
of points in a plane with the following property: For every point 
in ; there are exactly points in which are at unit distance from .
