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Mathematics, applications of mathematics to life in general, and my life as a mathematician.

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The deck for the game of SET consists of 81 cards. Each card has 1, 2, or 3 identical objects. Each object is an oval, a diamond, or a squiggly, colored in red, green, or …

A foam is a finite 2-dimensional CW-complex with extra properties. This one opening sentence is already more advanced than any of my usual blog posts. Let me define a finite 2-dimensional CW-complex in layman’s terms. …

Here is another riddle I discovered in a book and gave as homework to my students. Puzzle. I can use the number 20 thrice to make 60: 20 + 20 + 20 = 60. Make …