Summer Style Math
With grandma visiting
Category: Simon’s sketch book
Ramanujan’s Taxicab Numbers
Ramanujan’s Taxicab Numbers are the smallest numbers that can be written as a sum of two numbers to the power of n in two different ways. We only know such … Continue reading Ramanujan’s Taxicab Numbers
Another glimpse of Simon’s latest notes
Simon trying to develop the remainder theorem further: Imperial measurements system: Geometric series: Primes: Venn Diagram: Clock-face Puzzle (guessing a number on the clock face after the player spells several … Continue reading Another glimpse of Simon’s latest notes
Sunday Geometry
Simon proving that the three angles below add up to 90 degrees:
1 + 2 + 3 + 4 +… = – 1/12? Or does it break math?
Simon keeps coming back to this irresistible math problem about whether the infinite sum 1 + 2 + 3 + 4 +… converges to negative 1/12. He was quite disappointed … Continue reading 1 + 2 + 3 + 4 +… = – 1/12? Or does it break math?
The Euler Line in Triangles
Simon trying to get three dots in one line. Inspired by a Numberphile video.
Can an irrational number to the power of an irrational number be rational?
Inspired by the reasoning techniques on the SingingBanana math channel.
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
Geeks out of the box 