17 Plane Crystallographic groups

개요

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

메모

• Sunada, Toshikazu. ‘Topics on Mathematical Crystallography’. arXiv:1412.6994 [math], 18 December 2014. http://arxiv.org/abs/1412.6994.

관련된 항목들

• 추상대수학

관련도서

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

사전 형태의 참고자료

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

리뷰, 에세이, 강의노트

• 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