17 Plane Crystallographic groups

간단한 소개

• 2차원 평면의 이산부분군으로 2차원격자를 포함하는 군.
  
  • 벽지무늬의 대칭
  • 17가지 종류가 존재함

 

관련된 학부 과목과 미리 알고 있으면 좋은 것들

• 추상대수학

 

 

 

 

 

표준적인 도서 및 추천도서

• The Symmetries of Things
  
  •  John Horton Conway, Heidi Burgiel, Chaim Goodman-Strauss

 

위키링크

• http://en.wikipedia.org/wiki/Wallpaper_group

 

참고할만한 자료

• Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics)
  
  • Gabor Toth
  • chapter 10. Discrete_Subgroups_of_Iso(R2).pdf
• Crystallography and Cohomology of Groups
  
  • Howard Hiller
    
  • The American Mathematical Monthly, Vol. 93, No. 10 (Dec., 1986), pp. 765-779
• The Orbifold Notation for Two-Dimensional Groups
  
  • John H. Conway and Daniel H. Huson
    
  • Structural Chemistry, Volume 13, Numbers 3-4, August 2002 , pp. 247-257(11)
    
• The Plane Symmetry Groups: Their Recognition and Notation
  
  • Doris Schattschneider
  • The American Mathematical Monthly, Vol. 85, No. 6 (Jun. - Jul., 1978), pp. 439-450
• The 17 Plane Symmetry Groups
  
  • R. L. E. Schwarzenberger
  • The Mathematical Gazette, Vol. 58, No. 404 (Jun., 1974), pp. 123-131