A swimming mouse is in a circular pond. A non-swimming cat on the perimeter of the pond can run four times as fast as the mouse can swim and will always run in the most optimal way around the pond to catch the mouse. The mouse can run faster than the cat. The question: can the mouse get away from the cat? Mathematician Ben Sparks explores different methods the mouse can try.
Since 1954, scientists have been using computers to search for three numbers that could be cubed and summed to equal 42. Every other possible number below 100 already had a known solution, but the solution for 42 wasn’t found until recently. Here’s Numberphile on the significance of this discovery. Previously: 42 is the sum of […]
My daughter is taking a precalc summer school course. Last night she was doing her homework, which was about verifying trigonometric identities. Out of the 25 homework problems, there was one that she got stuck on. I decided to give it a try and spent two hours on it without solving it. Here it is. […]
Numberphile takes a look at three interesting infinite series. The first is 1 + 1/2 + 1/4 + 1/8 … which equals 2. The second is 1 + 1/2 + 1/3 + 1/4 + 1/5 … which equals infinity. The third is 1 + (1/2)2 + (1/3)2 + (1/4)2… which π2/6
There’s overwhelming support for clean energy, and the planet is giving us more reasons to invest in renewable power sources with every passing year. Even in the most inhospitable areas, wind and solar can provide a good chunk of our power, if not all of it. So why aren’t we all taking advantage of it? […]
Hey, we love Netflix and Hulu, but let’s face it: The whole setup doesn’t exactly encourage active viewing. For all the binge-watching we’ve done, it’s tough to expand our horizons or learn anything new – except for how many episodes of “The Office” it takes to make us fall asleep. It was only a matter […]
Still using elbow grease to clean the sinks, tubs and other grimy surfaces around your house? Save your elbows, and some time. If you’ve got a power drill, the RevoClean® 4-in-1 Drill Brush Cleaning Kit will instantly turn it into a professional scrubber that can tackle any stain on any surface. Attach the 4″ nylon […]