Maximilian Kreuzer died on 26th November after many months fighting against a severe illness. I want to take this opportunity to talk about one of his most important contributions to toric geometry: the classification of the four dimensional reflexive polytopes that he produced with Skarke in 2000. This classification of 473,800,776 polyhedra provides most famous source of Calabi-Yau threefolds (giving 30,108 distinct pairs of Hodge numbers), and is obviously of considerable importance in string theory. I’ll attempt to sketch the methods used by Kreuzer and Skarke to obtain this result, and how the combinatorial data should be interpreted.