Flower patterns on honeycomb structures

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter


Bifurcation mechanism of honeycomb structures is elucidated by the study of a that is the direct product of O(2) and two reflection group. A flower pattern is theoretically assessed to branch from a triple bifurcation point and is actually found by a numerical analysis of a honeycomb cellular solid. Other bifurcating patterns of interest are found in this study through the analysis of bifurcation points with the multiplicity of six and twelve. Fundamentals of group representation theory in Chap. 7 and group-theoretic bifurcation theory in Chap. 8 are foundations of this chapter.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages44
Publication statusPublished - 2019

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X


  • Bifurcation
  • Bifurcation equation
  • Cyclic group
  • Dihedral group
  • Equivariant branching lemma
  • Flower pattern
  • Group-theoretic bifurcation theory
  • Hexagonal lattice
  • Honeycomb structure
  • Symmetry

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Flower patterns on honeycomb structures'. Together they form a unique fingerprint.

Cite this