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수학동아 - 폴리매스
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[잡담] 헷갈리는 프랙탈
비우스 2022.02.23 03:57 조회 336
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페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

근데 해안선을 보면 프랙털아라서 더 자세리 잴수록 둘레가 커지잖아요.그럼 해안선 둘레를 한바퀴 도는 건 불가능한 건가요?

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  •  
    켋 Lv.7 2022.02.23 07:42

    가능하죠. 제논의 역설에 대해 알아보세요.

    댓글 작성하기 좋아요0 댓글수2
    •  
      △π Lv.9 2022.02.23 09:24

      제논의 역설이랑 이거랑 결이 같은 문제인가요??

      좋아요0
    •  
      켋 Lv.7 2022.02.24 02:19

      @△π 비슷한 거 같은데요. 결이라면 조금 다르기야 하지만 결국 무한등비급수의 수렴에 관해 얘기하는거니까요.

      좋아요0
  •  
    khr519 Lv.8 2022.02.23 17:05

    해안선은 무한히 작은 단위로 재면 무한한 길이가 나오지만, 사람의 발걸음은 무한히 작지 않기 때문에 한바퀴 도는것이 가능하지 않을까요?

    댓글 작성하기 좋아요0 댓글수1
    •  
      △π Lv.9 2022.02.23 19:47

      크기를 무시한 무한히 작은 입자가 일정한 속력 v로 해안선 둘레를 전부 걸을 수 있냐고 묻는 질문 같은데요?

      좋아요0
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