This blog is about Simon, a young gifted mathematician and programmer, who had to move from Amsterdam to Antwerp to be able to study at the level that fits his talent, i.e. homeschool. Visit https://simontiger.com
Simon’s way to celebrate Helloween: a little demo about how red marker reflects red LED light and becomes invisible. A nice trick in the dark!
We also had so much fun with the blue LED lamp a couple days ago when Simon discovered that it projects perfect conic sections on the wall! Depending on the angle at which he was holding the lamp, he got a circle, an ellipse, a hyperbola and a parabola! Originally just a spheric light source we grabbed after the power went out in the bathroom, in Simon’s hands the lamp has become an inspiring science demo tool.
Guess who was in town in mid-October? The amazing Vladimir Krasnoukhov, a one-of-kind puzzles inventor from Russia! (I know, I should’ve written about this earlier, but I’ve been lagging behind with my blog posts because of a really wicked bronchitis). He stopped by for a coffee and literally showered Simon with new mind boggling gifts!
Simon was especially impressed by the two physics demos that look like stuffed surfboards (Vladimir calls them “oysters”) and can only rotate in one direction due to the moment of inertia. Vladimir told us there have even been research papers written about these demos! Simon has been showing the trick to just about everyone who has visited our home ever since.
We have also received an especially difficult puzzle that took famous Russian physicist Sergei Kapitsa two hours to solve (Vladimir told me the answer, he didn’t want me to waste two months of my life) and several more colourful and elegant models. Simon is not even particularly keen on puzzles (when it comes to recreational maths, I think he is more into riddles and proves), it is Vladimir’s friendly disposition, his selfless devotion to mathematical beauty and his deep respect for a child’s intrinsic interests, his deep respect for children’s play in general, that have made our hearts melt. You can find out more about Vladimir Krasnoukhov’s puzzles on planetagolovolomok.ru
Simon has been fascinated by these possible-impossible puzzles (that he picked up from the MajorPrep channel) for a couple of days. He prepared many paper visuals so that Dad and I could try solving them. This morning he produced this beautiful piece of design:
One more blog post with impressions from our vacation at the Cote d’Azur in France. Don’t even think of bringing Simon to the beach or the swimming pool without a sketchbook to do some math or computer science!
Take any real number and call it x. Then plug it into the equation f(x) = 1 + 1/x and keep doing it many times in a row, plugging the result back into the equation.
At some point you will see that you arrive at a value that will become stable and not change anymore. And that value will be… φ, the golden ratio!
But this equation also has another answer, -1/φ. If you plug that value into the equation, it will be the same, too. The real magic happens once you have rounded the -1/φ down (or up), i.e. once what you plug into the equation is no longer exactly -1/φ. What happens is that, if you keep going, you will eventually reach… φ as your answer!