#### Classroom floorplan

In this case study, we take a closer look at a general classroom situation. The floorplan of the classroom is described in the following figure (the units are centimeters), with space delimited for the placement of the individual students colored in blue. We applied our discretization procedure on the delimited space which resulted in a mesh with 2,148 points that is depicted in the following figure. We measure the granularity of a mesh as the ratio between the square root of the area of the largest rectangle in the mesh and the largest distance between any two points in the mesh. In this case, the area of the largest rectangle was 225.9 cm2, its root being 15.03 cm, and the largest distance between any two points was 943.4 cm. This results in a ratio of 0.0159 (or 1.59 %). After the mesh was generated, we run the optimization algorithm. We chose to investigate the optimal layout design for the number of locations between 10 and 20. The completion of each of these computations took several hours. The following figures show the resulting arrangements and the distances between selected points.