This search aims to introduce the voronoi diagram, its history and its characteristics of space wayfinding, occupation analysis and space evolution. In addition to introducing the most important applications in architecture : urban planning , architectural design, landscape and even construction, and the benefits in terms of the effective and orderly division of the land and integration with nature and achieve tectonic. The search turns into studying the Voronoi diagram applications on facades by analyzing and comparing a range of contemporary architectural projects adopted Voronoi in designing facades, and is reached through the comparative study of Voronoi applications on facades to the standards in terms of function, form, construction and sustainability. Research concludes with a set of recommendations.