On symmetries of equivelar toroids
Presented by Prof. Asia iIvic WEISS
Type: Oral presentation
Track: Keynote lecture
A toroid of rank rank n+1 is the quotient of a Euclidean tessellation of n-space over a rank n subgroup of the group its translations. We derive some general results on the group of automorphisms of equivelar toroids, that is the toroids obtained from the regular tessellations. We give a complete classification of equivelar toroids in ranks 3 and 4.