Two Points on a Cube
I wrote a book. This is my first book, so I am very proud. I wrote it together with two brilliant puzzle lovers, Ivo Fagundes David de Oliveira and Yogev Shpilman. The book is published by World Scientific and is available for pre-order: Mathematical Puzzles and Curiosities. Here is one sample puzzle from the book.
Puzzle. The centers of two opposite faces of a cube are connected by four distinct shortest paths, shown in the picture in different colors. Can you find two points on the surface of a cube such that there are exactly three shortest paths connecting them?
This puzzle appeared in the latest issue of SLMath’s newsletter, 17 Gauss Way. The issue has a puzzle column that I coauthored with Joe Buhler and Pavlo Pylyavskyy. The coolest images in the column were done by Tracy Hicks, and this image is no exception. The picture is better than our original one in the book.
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