MathDB

Chisinau MO p66 1973 symmetry wrt point, square

Source:

March 15, 2021

symmetrygeometrycombinatoricssquare

Problem Statement

A

and

B

are points of the plane, then by

A * B

we denote a point symmetric to

A

with respect to

B

. Is it possible, by applying the operation

*

several times, to obtain from the three vertices of a given square its fourth vertex?