Models of vernacular architecture are one of the best ways for the documentation of folk buildings. However, it is necessary to be aware of the fact that those models document the buildings visually, while their construction and material are documented only insufficiently. The research on the models showed that the models are made at more quality levels which differ in the fidelity of imitation of a constructional detail or material used. Even though the models will continue to be a suitable means to document vernacular architecture, it is necessary to replenish them with other documentation methods. The future of the models consists primarily in the presentation of folk buildings.
We obtain a presentation for the singular part of the Brauer monoid with respect to an irreducible system of generators consisting of idempotents. As an application of this result we get a new construction of the symmetric group via connected sequences of subsets. Another application describes the lengths of elements in the singular part of the Brauer monoid with respect to the system of generators mentioned above.