1. SOLUTION 1 The configuration of the objects within an apartment does not allow a small apartment area, due to the positioning of the beds. The almost linear allocation of the apartments results in a large corridor area. The corridor region marked in orange saves corridor area since the same region corresponds to the entrance of two apartments.

2. SOLUTION 2 The corridors area has been reduced since two corridor regions (marked in orange), each one corresponding to the entrance of two apartments, appear.

3. SOLUTION 3 The area of the apartments has been reduced since the main rooms have been narrowed. However the positioning of beds does not allow further narrowing. The reduction of corridors area is continued: the region at the left, marked in red, corresponds to the entrance of three apartments.

4. SOLUTION 4 A new configuration of objects within the apartments allows further narrowing of the main rooms resulting in smaller area apartments. An important reduction of corridor area has been achieved, since the folding of the apartments resulted in a new corridor region, represented by the large orange rectangle, which provides access to four apartments.

5. The apartments allocation presented in blue color is particularly effective and will be encountered in the final solution. SOLUTION 4 A new configuration of objects within the apartments allows further narrowing of the main rooms resulting in smaller area apartments. An important reduction of corridor area has been achieved, since the folding of the apartments resulted in a new corridor region, represented by the large orange rectangle, which provides access to four apartments.

6. SOLUTION 5 The effective apartments allocation encountered in solution 4 is lost … … however the corridors area has been reduced since the region (large orange rectangle) whose area has been saved for the corridor, due to the apartments folding, is now longer.

7. Besides, a new effective apartments allocation (presented here in blue color), which will be encountered in the final solution, emerged. SOLUTION 5 The effective apartments allocation encountered in solution 4 is lost … … however the corridors area has been reduced since the region (large orange rectangle) whose area has been saved for the corridor, due to the apartments folding, is now longer.

8. SOLUTION 6 Although having the ineffective object configuration encountered in the solutions 1, 2 an 3 within the apartments, this solution is optimum with respect to the apartments allocation, as this allocation results in the minimum corridor area.

9. This apartments allocation emerged due to a combination of the allocation encountered in solution 4 … SOLUTION 6 Although having the ineffective object configuration encountered in the solutions 1, 2 an 3 within the apartments, this solution is optimum with respect to the apartments allocation, as this allocation results in the minimum corridor area.

10. … with the allocation encountered in solution 5. This apartments allocation emerged due to a combination of the allocation encountered in solution 4 … SOLUTION 6 Although having the ineffective object configuration encountered in the solutions 1, 2 an 3 within the apartments, this solution is optimum with respect to the apartments allocation, as this allocation results in the minimum corridor area.

11. SOLUTION 7 The optimum apartments allocation is combined with the objects configuration encountered in solution 4 within the main room of an apartment.

12. SOLUTION 8 A displacement of the basin within the WC allows the narrowing of the WC which also results in the narrowing of the main room, due to the geometric constraints relating the dimensions of these rooms. The area of the built space, i.e. the space occupied by the apartments and the corridor has been minimized.

13. Continued in Section_7.PPS