Клуб любителей пораскинуть мозгами
Окружность на листочке в клетку
Требуется нарисовать окружность на листе бумаги так, чтобы она проходила через максимальное число узлов клеток.
Например окружность с центром (2,2) и радиусом 1 проходит только через 4 такие точки: (1,2)(3,2) (2,1) (2,3).
Имеет ли такая задача конечное решение(да/нет – обосновать)?
Найти окружность, у которой это число наибольшее.
PS. Ответа не знаю. У меня пока что 12 максимум.
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