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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다
khr519
2021.01.02 01:29
조회 570
MM은 특별한 큐브를 만들어 보려고 한다.
위 그림처럼 작은 정육면체가 2*2*2로 쌓인 22큐브이다.
작은 정육면체에는 이 큐브의 겉면에 포함되는 세 면에 수가 적혀있다. (A,B,C 등등, 적힌 수의 총 개수는 3*8=24)
이 큐브에는 특별한 규칙이 있는데:
[한 면에 있는 숫자들의 합이 같은 상태에서만 회전한다] [또 큐브를 돌릴 때 이동하는 작은 정육면체 4개는 반시계방향으로 120도 회전한다.(예를 들어 A,B,C가 씌어진 작은 정육면체는 하늘색 회전 표시를 중심으로 회전한다)]
이 큐브를 최대한 많이 돌리려면 각 면에 어떻게 수를 적어야 하는가?, 그 이유는?
단 숫자를 쓰는 규칙은 다음과 같다.
[한 면에 같은 수를 적어서는 안된다] [한 작은 정육면체에 같은 수를 적어서는 안된다]
(이 규칙은 처음에 숫자를 쓸 때에만 적용되고 이후에 큐브를 돌렸을때는 이 조건이 만족되지 않아도 된다)
이 문제는 제가 세상을 바꿀 문제 카테고리에 처음 출제해보는 문제입니다. 카테고리에 적합하지 않다고 생각하시면 카테고리를 변경하겠습니다
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