One of the most puzzling passages in Plato’s Timaeus describes the formation of the elements out of triangles. Without illustrations, it is nearly impossible to follow, but he is claiming that each of the four classical elements is made up of particles shaped like one of the Platonic solids — i.e., solid shapes with all equilateral faces. They will be familiar to fans of D&D, and I often provide my students with paper templates that they can cut out and fold into the requisite shapes. Every time I teach the Timaeus, at least one student actually does take the time and brings sample Platonic solids to class to show everyone. Extra credit is duly awarded.
One’s first temptation, of course, is simply to skip that section as a bizarre indulgence. Over the years, though, I’ve come to see it as absolutely essential for understanding Plato’s project in the Timaeus. Continue reading “It all comes down to the triangles”