Mathematics, applications of mathematics to life in general, and my life as a mathematician.

Here is a problem from the 1978 Kyiv Olympiad for 7 graders.

Is it possible to place seven points on a plane so that among any three of them, two will be at distance 1 from each other?

Let ABCD be a parallelogram with AB=BC=CD=DA=BD=1 And let AEFG be another parallelogram with AE=EF=FG=GA=EG=1 Now position both parallelograms in such a way that CF=1 and you are done.

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## Zarunias:

Let ABCD be a parallelogram with AB=BC=CD=DA=BD=1

12 March 2022, 12:52 pmAnd let AEFG be another parallelogram with AE=EF=FG=GA=EG=1

Now position both parallelograms in such a way that CF=1 and you are done.