4 поворота
*
Опубликовано:
11.08.2011
Категория:
Сложность:
Квадрат повёрнут 4 раза, каждый поворот на 90 градусов. Оказалось, что эти четыре поворота можно заменить одним и также на 90 градусов. Как это можно сделать?
Решение
Повернём квадрат сначала вокруг диагонали AC на 180° (или два раза на 90°):
В результате вершины B и D поменяются местами:
Теперь повернём квадрат на 180° вокруг стороны AB:
В результате квадрат примет следующее положение:
Очевидно, что точно такой же результат получился бы, если бы мы повернули квадрат один раз на 90° по часовой стрелке вокруг вершины A (в плоскости квадрата).
Комментарии
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