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
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11:01 am Tue
Apr 2, 2019
Three interesting infinite series
The wonders of the isochronous curve
Curiosity Show was an Australian educational television show that ran from 1972 to 1990. The show’s hosts/creators, Morrison and Deane Hutton, now post clips of Curiosity Show on their YouTube channel. In this video we learn what an isochronous curve is and what makes it cool. [via The Kid Should See This]
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42 was the last remaining number below 100 which could not be expressed as the sum of three cubes - until now
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 […]
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This trig problem kept me up too late last night
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. […]
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Fly this remote-controlled plane by phone - with a joystick
There are a lot of high-tech drones and RC planes flooding the market lately, and the innovations are coming so fast on each new iteration, most of them forget one crucial thing: Flying these is supposed to be fun. Here’s an alternative that keeps that ethic firmly in mind: The Moskito Smartphone-Controlled Plane. This thing […]
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Save 30% on this robotic chessboard that lets you play online or with AI
There are few intellectual exercises better than a good game of chess against a capable opponent, which is why a lot of old hands at the gameplay it online. But there’s still nothing like the tactile thrill of moving a knight into checkmate. (Or sweeping the pieces off dramatically when you lose.) That’s why we’re […]
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These earbuds are the perfect gift for the audiophile on your list
Got a real music junkie on your list this year? It’s a good bet that they already have a solid pair of earbuds, but probably nothing quite like these Seeds Earphones. Here’s the thing: Wireless earbuds are all the rage right now, and there are a lot of good reasons for that. But for true […]
