If you try to set a MoMath record by arranging tile shapes inside various boundaries, you might be channeling your inner Maryna Viazovska. Born in Ukraine in 1984, she stunned the mathematical world with her resolution of the sphere-packing problem in dimensions 8 and 24, for which she was awarded the New Horizons Prize and the Clay Research Award.
Imagine you run an online business. If a customer has ordered many items, what is the smallest box you can fit them in to ship them? If you can fit the items into a smaller box, you will save money on postage. This is a three dimensional version of the problem you have been working with here.
