4-Regular vertex-transitive tilings of E3

O. Delgado Friedrichs*, D. H. Huson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


There exist precisely 149 topological types of semipolytopal tile-transitive tilings of E3 by "extetrahedra" (obtained from tetrahedra by introducing certain new vertices of degree 2). Dualization gives rise to 149 types of 4-regular vertex-transitive tilings. The 4-coordinated networks carried by these tilings are closely related to crystal structures such as zeolites or diamond. These results are obtained using "combinatorial tiling theory.".

Original languageEnglish
Pages (from-to)279-292
Number of pages14
JournalDiscrete and Computational Geometry
Issue number2-3
Publication statusPublished - 2000
Externally publishedYes


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