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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: driver

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Cacher.php
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Function: initiateCache

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Function: require_once

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Function: model

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Function: getComment

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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
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File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
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Function: get_footer

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Function: require_once

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Function: _error_handler

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

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
Line: 392
Function: getFloatingMyInfo

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
Line: 559
Function: get_footer

File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
Line: 315
Function: require_once

수학동아 - 폴리매스
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함께 풀고 싶은 문제
깊이 고민해볼 수 있는 수학 문제를 내는 곳입니다
[세상을 바꿀 문제] [필즈상] 케플러의 추측 맛보기
Scubed 2022.07.03 09:57 조회 318

필즈상 후보로 거론된 마리나 비아조프스카 교수는 고차원에서의 케플러 추측을 해결하여 수학계의 주목을 받고 있습니다. 이 문제에서는 3차원 케플러 추측에 대해 다뤄봅시다.

케플러 추측은 3차원에서 구를 통해 공간을 채울 때 어떻게 하면 공간채움률이 최대로 채울 수 있겠는가에 대한 방법을 찾는 문제입니다. 여기서 공간채움률은 단위격자 안에서 구가 차지하는 부피 대비 단위격자의 부피를 말합니다.

(1) 각 구의 중심이 정육면체를 이룰 때, 공간채움률은 얼마인가?

(2) 각 구의 중심이 정사면체를 이룰 때, 공간채움률은 얼마인가?

(3) 각 구의 중심이 밑면이 정육각형인 육각기둥을 이룰 때, 공간채움률은 얼마인가?

이 문제 어떠셨나요?

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0

어려워요

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  •  
    유지연_매니저 Lv.15 2022.07.07 01:01 비밀댓글
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수3
    •  
      유지연_매니저 Lv.15 2022.07.22 01:27

      Scubed님, 안녕하세요~

      이 문제의 정답 요청드립니다~!

      감사합니다.

      좋아요0
    •  
      Scubed Lv.7 2022.07.23 23:29

      @유지연_매니저

      매니저님 대댓글에 비밀댓글로 하시면 안 보여요 ㅠㅠ

      좋아요0
    •  
      Scubed Lv.7 2022.07.28 01:25 비밀댓글
      비밀 댓글이 등록 되었습니다!
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