“…The roof geometry and Voronoi diagrams found applications in many elds ranging from photogrammetry with (semi) automatic reconstruction of city models (Bernd et al;, Dikaiakou et al, 2003Flamanc et al, 2003;Laycock and Day, 2003;Swift et al, 2003), reconstruction of roads from satellite images (Akel, 2005;Thom, 2005), in cartography (Haunert and Sester, 2004;Wang et al, 2011), in the analysis of the morphology of materials with grain structure (Akel, 2005), in medicine for the representation, reconstruction and visualization of human organs ( Barequet et al, 2003), in the topographic analysis of the area, computer graphics in the eld of object shape recognition and analysis (Lawlor, 2004), in transport of readymixed concrete (Koźniewski et al, 2017), and in designing of earthwork organization (Koźniewski, 2018).. The solution presented in this paper is a new example of applying the above-mentioned concepts in the practical eld of designing the shape of embankments.…”