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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] [차원] 7. 차원 (MathlabJ님)
아인수타인
2020.06.01 23:53
조회 864
(참고: 차원은 좀 제가 만들기 어려운 주제라 다른 <도전! 20제>에 비해 좀 문제가 독창적이진 않은 것 같네요ㅠㅠ 다음 편부턴 다행히 만들기 괜찮은 주제이니 양해 부탁드립니다)
4차원 정육면체 하이퍼큐브가 있다. 이 하이퍼큐브에는 꼭짓점 몇 개, 모서리 몇 개, 면 몇 개, 입체가 몇 개 있는지 풀이와 함께 구하시오.
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K→C≡N
Lv.11
2020.06.02 00:00
비밀댓글
확인요청중
비밀 댓글이 등록 되었습니다.
-
아인수타인
Lv.12
2020.06.02 00:01
좋아요0
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K→C≡N
Lv.11
2020.06.02 00:04
비밀댓글
확인요청중
비밀 댓글이 등록 되었습니다.
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아인수타인
Lv.12
2020.06.02 00:07
좋아요0
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아인수타인
Lv.12
2020.06.02 00:09
아 그러니까 정육면체 자체는 3차원이지만 그걸 4차원으로 확장시켰다고 보시면 됩니다.
좋아요0
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정육면체는 면이 6개, 꼭짓점이 8개, 모서리가 12개, 입체는 1개이다.
하이퍼큐브에서 모서리가 2배로 늘어나면서 꼭짓점이었던 것들이 모서리가 되므로 모서리는 32개이다.
꼭짓점은 2배 늘어난 16개이다.
면은 두 배 늘어나면서 모서리였던 것들이 면이 되므로 24개이다.
입체는 2개가 되면서 면이었던 것들이 입체가 되므로 8개이다.
답 : 16/32/24/8
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아인수타인
Lv.12
2020.06.02 05:09
좋아요0
-
파이파이
Lv.9
2020.06.30 17:01
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