1 Erratum to: Geom Dedicata DOI 10.1007/s10711-016-0198-5

Figure 3 has been published incorrectly in the original publication of the article. The correct version of the figure is provided below (Fig. 3).

Fig. 3
figure 1

A polygon (e.g., a decagon) with pairs of parallel sides defines a translation structure (side identifications are marked). By defining a segment transverse to the vertical flow, we define a first-return map to this segment