Universal topological representation of geometric patterns

Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto, Akihiko Kitada

Research output: Contribution to journalArticlepeer-review


We discuss here the characteristic topology structures of matters by means of a fundamental topological method. Any geometric pattern can be universally represented by a decomposition space of a topological space consisting of the infinite product space of 0 and 1, in which a partition with specific topological properties determines a character of each geometric structure.

Original languageEnglish
Article number105213
JournalPhysica Scripta
Issue number10
Publication statusPublished - 2019 Aug 7


  • Cantor cube
  • Geometric pattern
  • clusterized structure
  • dendrite
  • graph

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics


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