I present two complementary problems on finite sphere packings in Euclidean space. The Sausage Conjecture (L. Fejes Tóth) states that in dimensions d ≥ 5, the densest packing of any finite number of spheres in R^d occurs if and only if the spheres are all packed in a line, i.e., a sausage. The Sausage Catastrophe (J. Wills) is the observation that in d = 3 and 4, the densest packing of n spheres is a sausage for small n and jumps to a full-dimensional packing for large n without passing through any intermediate dimensions. I will discuss the progress made in the literature including the result that the Sausage Conjecture is true for all d ≥ 42 (Betke and Henk). Furthermore, I will present some initial improvements to the existing partial results of both problems as well as mention some future research directions.