Universal topological representation of geometric patterns

Research output: Contribution to journalArticle

Abstract

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
Volume94
Issue number10
DOIs
Publication statusPublished - 2019 Aug 7

Keywords

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

ASJC Scopus subject areas

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

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