  An $(n+1)$-toroid is a quotient of a tessellation of the $n$-dimensional
Euclidean space with a lattice group. Toroids are generalizations of maps in
the torus on higher dimensions and also provide examples of abstract polytopes.
Equivelar toroids are those that are induced by regular tessellations. In this
paper we present a classification of equivelar $(n+1)$-toroids with at most $n$
flag-orbits; in particular, we discuss a classification of $2$-orbit toroids of
arbitrary dimension.
