Realization of Heawood's Map on a Toroidal Polyhedron

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Heawood’s map consists of seven regions, with each pair sharing a part of its boundary. This Demonstration shows a realization of Heawood’s map on a toroid with congruent regions, each made of four triangles.

Contributed by: Izidor Hafner and Lajos Szilassi (April 2016)
(University of Szeged, Hungary)
Additional contribution by: Sándor Kabai
Open content licensed under CC BY-NC-SA




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

[2] B. M. Stewart, Adventures among the Toroids, 2nd ed., Okemos, MI: B. M. Stewart, 1980 pp. 199.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.