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Intuition: 5 regular polyhedra, 6 regular 4-polytopes, and then 3 regular d-polytopes

I have struggled to offer an intuitive explanation (to U.S. college students) why the number of regular polytopes in dimension $d$ is: $d=2$, number: $\infty$. $d=3$, number: $5$, the five Platonic ...
Joseph O'Rourke's user avatar
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Teaching an abstract algebra class involving modules, best way to introduce operations on modules?

At the behest of a comment on Mathoverflow, I am posting this here. I am about to teach a few classes on modules and their operations, namely the following: direct product, direct sum, and finitely ...
user5613's user avatar