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
What you see here is the sequence of moves to solve the Towers of Hanoi puzzle. The sequence goes up to 2 to the power of the number of rings in your puzzle. The picture here is the sequence for 8 discs, so 256 moves. “If you plot log_2 (binary log), this shape (in red) would be under that log plot, except for the powers of 2 which would be exactly on the log plot!” Simon has noticed.
Simon’s earlier video about the math behind the Towers of Hanoi puzzle:
It’s my birthday today and Simon has calculated my age in bases 2-12, 16 and 20! In the video, he explains what my color is in hexadecimal (base 16), how can turn my age into 33 and why it’s cool to be the age of a Mersenne number (so that I start looking forward to turning 63). He also shows a cool way to generate Mersenne numbers, Fibonacci numbers and Lucas numbers.
My birthday in all the bases up to 20 and my colour:
In base 5:
Simon’s present: a magic square adding up to 39 in all the rows and columns (and diagonals):
The same night Simon said to me: “Mom, you know how we have once talked about programming lessons?” We did discuss this approximately half a year ago when we started considering homeschooling seriously and back then Simon told me he really wanted to have private math lessons but no programming lessons. “Do you mean you’d like to start programming lessons now?” – I asked. He blushed and hid his face in the pillows. When he looked up again I saw a big toothless smile.