Difference between revisions of "1971 IMO Problems/Problem 5"
(Created page with "Prove that for every natural number m; there exists a finite set S of points in a plane with the following property: For every point A in S; there are exactly m points in S which...") |
|||
| Line 1: | Line 1: | ||
| − | 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 .
