On Parking Spaces of Electric Cars and Rectangle Packing, Due to Transport Safety Aspects

The changes and developments in the automotive industry in recent years have made it necessary to rethink parking space planning methods that have remained unchanged for decades, and to redesign the size of the parking spaces available for individual vehicles. Larger parking spaces can also help prevent the spread of the special fire that is typical of electric cars. In this study, we approach the design of a wider parking space for electric cars from a mathematical point of view. Packing of rectangles into a container means the rectangles are contained in the container and have pairwise disjoint interiors. Specifically, we focus on packing rectangles into rectangular containers. The rectangles are congruent, but some rectangles have a parallel domain which interior and the union of remaining rectangles are disjoint. This unique packing challenge aids in designing parking spaces for electric cars.