Student Puzzle Corner
The problem framed this time is at least partially a classic problem in geometry. You can find a lot in the literature about where this general problem arises in numerous fields of application. Some previous exposure to spherical geometry would probably be helpful, particularly for part (e). Here is the

We pose a classic problem, variously known as the taxicab problem or the German tank problem (named after its historical application, by Allied forces in World War II, to the estimation of the monthly rate of German tank production from very few data). We have a finite population $\mathcal{X}$ with…

Contributing Editor Anirban DasGupta writes on the previous problem, which was about phase transitions: If the common probability that each observer tells the truth on any given instance is $p$, and if there are $m$ such observers, and if there are $n$ options (colors) to choose from, then by…