Phys. Rev. Lett. 100, 188104 (2008) [4 pages]Mutual Voronoi Tessellation in Spoke Pattern ConvectionReceived 11 October 2007; published 6 May 2008 Planar cellular networks are made of polygonal cells usually having an average of six sides and trivalent vertices. We analyze the topological properties of spoke patterns observed in the convection of highly viscous fluids. The competition between ascending and descending columns of fluid generates dual networks where on average cells are four sided and vertices tetravalent. This observation identifies a new class of dual networks satisfying a mutual Voronoi relation. The metric of the pattern is dominated by the distance between nearest neighbors vertices of opposite species. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.188104
DOI:
10.1103/PhysRevLett.100.188104
PACS:
87.18.Hf, 47.55.P−
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.