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Equilateral in plane

Source: Romania TST 2016 Day 4 Problem 1

June 2, 2016

combinatorics

Problem Statement

Determine the planar finite configurations

C

consisting of at least

3

points, satisfying the following conditions; if

x

and

y

are distinct points of

C

, there exist

z\in C

such that

xyz

are three vertices of equilateral triangles

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