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[창의 퍼즐] 회오리 화살표 연결하기

디듀우 2018.12.15 07:49 조회 995

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

위와 같은 정사각형을 위상을 바꾸지 않고 변형해 같은 색깔의 화살표끼리 같은 방향으로 연결할 수 있을까? 불가능하다면 이유를, 가능하다면 생기는 모양을 그려라.

(단, 화살표끼리 연결하면서 위상이 변하는 경우는 제외)

대표 이미지 출처: https://www.google.com/url?sa=i&source=images&cd=&ved=2ahUKEwizvIfi6qHfAhVFu7wKHVlRDoUQjxx6BAgBEAI&url=http%3A%2F%2Fwww.wikiwand.com%2Fko%2F%25EA%25B5%2590%25EC%25B0%25A8%25EB%25AA%25A8&psig=AOvVaw0xzSxE0KTJwNhwfxYBdQIJ&ust=1544963117018212

이전글 passward맞히기 6탄

다음글 까다로운 기차여행 1탄

이 문제 어떠셨나요?

글쎄요

어려워요

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아인수타인 Lv.12 2018.12.17 07:10

설마 대표이미지가 정답은 아니죠? (그럴 리가...)

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- 디듀우 Lv.7 2018.12.18 05:39
  
  당연히 아니죠~
  
  대표이미지는 사영평면이라는 도형입니다. 자세한 것은 검색해 보시길...
  
  좋아요0
- 뉴턴의 사과 Lv.1 2019.01.10 22:45
  
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  물론 제가 아래에서 클라인 병하고 뫼비우스의 띠가 위상동형이라 한 것은 잘못된 말입니다. 하지만 클라인 병과 뫼비우스의 띠 2개의 합집합은 위상동형입니다.
  
  그리고 뭔가 착오가 있으신가 본데 차원은 위상적 성질이라고 보기 어렵습니다. 예를 들어 $\mathbb{R}^{n+1}$ 의 부분집합 $S^n$ 은 stereographic projection map에 의해 $\mathbb{R}^n$ 과 위상동형입니다.
  
  좋아요0
- 디듀우 Lv.7 2019.11.09 08:02
  
  으어어 저게뭐야
  
  좋아요0
뉴턴의 사과 Lv.1 2018.12.18 01:53

쩝...클라인 병인줄 알았는데 아니네

댓글 작성하기 좋아요0 댓글수4
- 디듀우 Lv.7 2018.12.18 05:40
  
  저기에서 같은 색 한 쌍의 화살표만 방향이 같으면 클라인병이 됩니다.
  
  좋아요0
- 뉴턴의 사과 Lv.1 2018.12.20 03:55
  
  클라인 병하고 뫼비우스의 띠하고 위상동형이죠?
  
  (위상수학 접은지 오래되서...)
  
  좋아요0
- 디듀우 Lv.7 2018.12.20 06:50
  
  저도 자세히는 모르지만 뫼비우스 띠를 말아야 클라인 병이 되니 다르지 않을까요?
  
  좋아요0
- 아인수타인 Lv.12 2018.12.20 09:42
  
  엄연히 다릅니다. 클라인 병 자체가 4차원에서만 가능합니다.
  
  좋아요0

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