### Did you solve it? Five shady puzzles

Earlier today I set you five puzzles from More Geometry Snacks. Here are the questions each followed by two methods of solution. Sometimes the simple action of drawing in a few extra lines reveals the solution clearly. 1. A point inside a square is connected to its four vertices. What fraction of the square is…

### The equivalence test: A new way for scientists to tackle so-called negative results

A new statistical test lets scientists figure out if two groups are similar to one another. Credit: paleontologist natural/shutterstock.com A paleontologist returns to her lab from a summer dig and sets up a study comparing tooth length in two dinosaur species. She and her team work meticulously to avoid biasing their results. They remain blind…

### Why is this line so long?

One line spreads the risk of slowdowns out over the whole group. Credit: James R. Martin/Shutterstock.com Warning: After reading this article, you will never again stand in a line without thinking about how to make your wait time shorter. And as an expert in operations management, I’m here to spread the word that sometimes a…

### Can you solve it? Five shady puzzles

Hi guzzlers. Today’s puzzles are about the shade, by which I mean the shaded areas in the geometrical diagrams below. The images are to be studied and contemplated, until the pleasurable moment of insight arrives… (Background help: the area of a triangle is half the base times the height. And Pythagoras’s Theorem states that the…