Abstract : In representation theory, Nakayama algebras are a nice, combinatorially described class of algebras that are often used as examples. We study when these algebras have small homological dimension (i.e. are shod). This can be done completely combinatorially, by drawing a link to Dyck paths and 132-avoiding permutations. The classification of shod, which corresponds to avoiding more patterns, can then be done by drawing some very nice pictures. Come over, there will be colour. This is a joint work with Viktória Klász and René Marczinzik.