Klee-Minty cube

The Klee-Minty cube is a specially designed, distorted hypercube used in mathematical optimization. It demonstrates how some algorithms, like the simplex method for solving linear programming problems, can take an extremely long, zigzagging path—exponential in complexity—to find the best solution. Imagine navigating a maze that looks straightforward but is cleverly constructed to delay the quickest route. This example highlights the limitations of certain algorithms, showing that while they often work efficiently, their worst-case scenarios can be very complex and time-consuming.