Details

When constructing this toroid, care must be taken to make sure that the six points defining a face region are in the same plane [2, p. 325]. This toroid belongs to the class , which means that it is a regular toroid with hexagonal faces, with three edges meeting at each vertex [2, p. 318]. The dual has triangular faces, with six edges meeting at each vertex, thus it belongs to the class .

References

[1] L. Szilassi, "Regular Toroids," Structural Topology, Université de Montréal, 13, 1986 pp. 69–80. www-iri.upc.es/people/ros/StructuralTopology/ST13/st13-06-a3-ocr.pdf.

[2] L. Szilassi, "On Three Classes of Regular Toroids," Symmetry: Culture and Science, 11(1–4), 2000 pp. 317–335.

[3] "Shelf of Lajos Szilassi." www.kabai.hu/elte-mathematical-museum.

[4] B. M. Stewart, Adventures among the Toroids, Okemos, Michigan: B. M. Stewart, rev. 2nd ed., 1980 p. 199.