A typical setting is a finite family of convex figures in the Euclidean space Rd that are homothetic to a given X, for example, a square as in the original question, a disk, or a d-dimensional cube.
Year 2000 problem | Waring's problem | The Final Problem | Rado | The Problem with Popplers | Hume and the Problem of Causation | Dirichlet problem | Boolean satisfiability problem | The "sea of plastic" covering 20,000 ha of the Poniente Almeriense | The Dog Problem | Tammes problem | Species problem | Rado (watch) | problem solving | Problem gambling | Packing problem | packing problem | French ban on face covering | chess problem | Znám's problem | Year 10,000 problem | Yamabe problem | Weber problem | Undecidable problem | Travelling salesman problem | travelling salesman problem | Tibor Radó | The Problem of Thor Bridge | The Problem of the Media: U.S. Communication Politics in the 21st Century | The Problem of Social Cost |