The first step to get the best spatial arrangement of your auditorium or open space starts with giving us the layout of the space, with the dimensions of the available space clearly marked.
For auditoriums, the locations of the seats and the distances between them suffice.

For auditoriums, we construct a grid of available points that represent the individual seats.
For the open spaces, we generate a fine mesh that covers the delimited space.

The problem of finding the optimal arrangement is then formulated as a discrete p-dispersion problem. A decremental clustering algorithm is used to find a certified optimal arrangement, that maximizes the minimum distance between any two selected locations from the mesh or the grid.

You can find more about p-dispersion problem here.

You will receive a detailed floor plan of the optimal arrangement.