Abstract.
{There exist precisely 149 topological types of semipolytopal tile-transitive tilings of E 3 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.''}
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Received February 12, 1999, and in revised form September 21, 1999. Online publication May 15, 2000.
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Delgado Friedrichs, O., Huson, D. 4-Regular Vertex-Transitive Tilings of E 3 . Discrete Comput Geom 24, 279–292 (2000). https://doi.org/10.1007/s004540010035
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DOI: https://doi.org/10.1007/s004540010035