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MathNet 2017-part-03 — 176 problems (EN–VI) Question 71

Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)

Question 71

a. Does there exist $5$ circles in the plane such that each circle passes through exactly $3$ centres of other circles?

b. Does there exist $6$ circles in the plane such that each circle passes through exactly $3$ centres of other circles?