The egg box problem
One weeknight mid semester in a sunny Cleveland, I was settling into a new place with a good friend and roommate Shiv. During this time I was baking some kind of \href{lemon drizzle}{https://www.bbcgoodfood.com/recipes/lemon-drizzle-cake} each evening, and hence required many eggs. While lifting the half empty egg box, with one hand, it felt slightly unbalanced and it had occurred to me there was a non-zero chance I could have dropped the box. In this thought, I asked Shiv if there is a different way we can store the eggs to minimize the risk of dropping the box? The conversation and resulting outcome is what follows.