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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 3차원 테셀레이션
아인수타인 2018.10.05 00:08 조회 921
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

(참고로 저도 답을 모르니 풀이까지 올려주시면 감사하겠습니다.)

(1) 1종류 이상의 정다면체로 공간을 빈틈없이 메우는 방법은 몇 가지일까? (즉, 정육면체와 정팔면체 두 개를 이용해도 상관없다.)

(2) 만약 (1)과 같은 규칙으로 육팔면체, 부풀린 십이이십면체 등 준정다면체까지 허용하면 어떻게 될까?

이 문제 어떠셨나요?

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  •  
    KSRA Lv.1 2018.10.05 03:21

    일단 1종류만 사용하면 정육면체만 가능합니다.

    댓글 작성하기 좋아요0 댓글수2
    •  
      KSRA Lv.1 2018.10.05 03:23

      그런데 2종류 이상 사용하려면 정사면체와 정팔면체, 정이십면체만 가능하지 않나요? (정육면체는 한 면이 정사각형이고 정십이면체는 한 면이 정오각형이므로)

      좋아요0
    •  
      아인수타인 Lv.12 2018.10.06 09:15

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      Function: require_once

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      Backtrace:

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      Line: 202
      Function: mkdir

      File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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      Function: getLatexImg

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      Function: view

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      Line: 315
      Function: require_once

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      Backtrace:

      File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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      Function: require_once

      앗, 그렇군요. 그럼 처음에 \binom{5}{2}+\binom{5}{3}+\binom{5}{4}+\binom{5}{5}가지였던 것이 \binom{3}{2}+\binom{3}{3}으로 확 줄어드네요.

      좋아요0
  •  
    아인수타인 Lv.12 2018.10.07 02:43

    근데, (1)(2)번 다 노가다로 할 수도 있지만 노가다 안 하고 할 수 있을까요?

    댓글 작성하기 좋아요0 댓글수0

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Function: get_footer

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Line: 315
Function: require_once

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