Can an irrational number to the power of an irrational number be rational?
Inspired by the reasoning techniques on the SingingBanana math channel.
Tag: homeschooling
Mathematical Curiosities set
Simon unpacking his new Mathematical Curiosities set (a set of four mathematical tricks). Simon had already made two of these tricks himself before, the two other tricks are completely new … Continue reading Mathematical Curiosities set
Rational vs. Irrational
Simon discusses the infinities of rational and irrational numbers, how they relate and the infinitesimal, using a mind boggling problem about a tree orchard as an example. Inspired by a … Continue reading Rational vs. Irrational
Mysterious Card Order Puzzle
Simon has a card puzzle for you. Can you work out the original order of the cards? (The answer is in the second video below).
A great number guessing trick
Simon guessing fifth power roots. Simon learned this from an older Simon on the Numberphile channel. Simon also tried to develop his own system for guessing numbers cased on their … Continue reading A great number guessing trick
Utilities Problem and Euler’s Formula
This is Simon’s remix of a video by James Grime about the same subject on the SingingBanana math channel: https://www.youtube.com/watch?v=ODtwehGzoLM The Utilities Problem is a problem about connecting three houses … Continue reading Utilities Problem and Euler’s Formula
Football
Wait a minute, is that Simon actually playing football? We never thought we would see that happen. All the credits go to Matt Parker. He is the one who got … Continue reading Football
Math Magic
Simon showing math magic tricks at Easter celebrations with extended family and Dad’s colleagues:
Another dive in Simon’s sketch book…
Pythagorean triples Prime Number Theorem An interesting sequence that correlates with a chessboard game and golden ratio Imperial system of measurements
Simpson’s Paradox
Here is another interesting puzzle Simon learned from the SingingBanana math channel, about two drugs undergoing testing in the course of two days. The fish drug cured 63 out of … Continue reading Simpson’s Paradox
A rather simple but elegant puzzle
Answer: yes. Here Simon explains why:
Geeks out of the box 