Today I Learned

Some of the things I've learned every day since Oct 10, 2016

13: Schläfli Symbols of Self-Dual Polytopes

The Schläfli symbol of the dual of a polytope with dimension $\geq 2$ will simply be the reverse of that polytope’s symbol. Thus, such a polytope is self-dual if and only if its Schläfli symbol is palindromic.