The double pendulum problem is kind of a historical/mathematical marvel. It is very easy to predict the motion of a common, everyday clock pendulum that swings back and forth; but add another pendulum at the end of that, and the complexity shoots through the roof in the most unexpected ways. It puzzled early mathematicians for years.
The system begins to exhibit chaotic motion, and the mathematics needed to solve the motion goes from simple polynomial math to Lagrange differential equations requiring a full college program of Calculus to solve. Here’s a full solution write-up.
Solving is one problem, but making something useful out of it is even more impressive. Here are two robots that can balance not only a double pendulum, but a triple! One application would be to have self-parking and skid-controllable multi-trailer semis. There are probably many more.
If the original double-pendulum mathematicians could see this, they would consider is sorcery. If you’ve ever tried to balance a broom on your hand, you should also marvel:
Cable robots are capable of some extremely fast and ultra-precise movements. They also scale to large sizes better than articulated ones. Check out the extremely fast and precise movement of this system:
Or large scale capable of carrying a human:
They also can be used for haptic feedback systems:
Ukrainian chef Dinara Kasko pairs baking and 3D printing to craft incredibly sculpted pastries that would look more at home at an art gallery than a dinner table. She works with mathematicians and sculptors to create algorithms that blend cooking and designing. Take a tasty tour of these desserts that are a treat for all the senses.
Game studios and enthusiasts may soon have a new tool at their disposal to speed up game development and experiment with different styles of play. Georgia Institute of Technology researchers have developed a new approach using an artificial intelligence to learn a complete game engine.
Their AI system watches less than two minutes of gameplay video and then builds its own model of how the game operates by studying the frames and making predictions of future events, such as what path a character will choose or how enemies might react.
I was fooling around with Pokemon Go and ended up getting a very rare shiny Magikarp. I also wanted to know how hard it was to record the iPhone screen and the sound. There are lots of different ways from both PC and Mac, but I used my Mac Mini and it was very easy:
Connect your iPhone or iPad to your Mac via the lightning cable.
Open QuickTime player.
Click File then select ‘New Movie Recording’
A recording window will appear (with you in it, most likely). …
Select the Mic of your iPhone if you want to record music/sound effects.
Click the Record button.
So, I recorded the evolution from the rare shiny Magikarp to the rare shiny Gyarados. Results were very good:
THIS is compelling. No bulky headsets/goggles/etc.
Using projection mapping and a mix of tracking systems, creative studio THÉORIZ shows off a slick prototype which projects 3D images that dynamically adapt to movements. Everything you see was captured live, with no post-production.
Twitch gives you an idea of how many people are playing a game, but why guess how many concurrent users you have and the stats? This site live-tracks who is playing what – and gives you trending over time and has some great analysis articles. Pretty interesting reads on why some games fly and other flounder.