Infinite Series Calculator in Repl.it
Simon has made a small calculator/approximator in Repl.it that shows what number an infinite series converges to: https://repl.it/@simontiger/Series
a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
Simon has made a small calculator/approximator in Repl.it that shows what number an infinite series converges to: https://repl.it/@simontiger/Series
The photos below show Simon playing with Breadth-first search and Dijkstra’s algorithms to find the most efficient path from S to E on a set of graphs. The two more … Continue reading Pathfinding algorithms: Dijkstra’s and Breadth-first search
Simon has shown us a curious puzzle: if you hang a poster on a string using two pins, what is the way to arrange the string so that the poster … Continue reading A Knot Theory Puzzle
When we arrived at the MathsJam last Tuesday, we heard a couple of people speak Russian. One of them turned out to be a well known Russian puzzle inventor Vladimir … Continue reading Vladimir Krasnoukhov at MathsJam Antwerp!
“I have first built a maze, then I turned it into a graph and applied Dijkstra’s pathfinding algorithm!” Simon learned this from the Computerphile channel. He later also attempted to … Continue reading Dijkstra’s pathfinding algorithm
Simon has been studying various polyhedra and programming them in Wolfram Mathematica. He asked me to help him build one of the many “shaky polyhedra” from paper. The main characteristic … Continue reading Shaky Polyhedra
Mesmerised by the 3D printed gears on Numberphile: “If you move two of these, the third one appears to be hovering in mid-air!”, Simon made a similar construction of his … Continue reading How do 3 gear work?
Here is a fun math trick! Simon and Neva have made a 8 x 8 cm square (with an area of 64 cm²) and cut it into four pieces, turning … Continue reading A Fun Fibonacci Puzzle
We did two more experiments a couple days ago: Liquid Wires (creating a simple circuit using graphite and liquid glass, a sodium silicate solution) and making our own Zinc-Carbon Battery, … Continue reading MEL Chemistry Experiments: Making Batteries
Simon was inspired by Matt Parker’s recent video about all the numbers on Numberphile and a Welch Labs video series about imaginary numbers (some of the design elements are borrowed … Continue reading Simon’s Real Numbers Diagram
Simon has always wanted to experiment with torque-induced precession (gyroscopic precession), a phenomenon usually demonstrated with a heavy wheel one can hold perpendicular to the ground as long as it … Continue reading Physics Experiments: Gyroscopic Procession
Simon made these Reuleaux triangle from red cardboard. They are formed from the intersection of three circular disks, each having its center on the boundary of the other two. Its boundary … Continue reading Shapes of constant width