Pebbling a Chessboard
Learned from Numberphile.
Author: Geeks out of the Box
This is a blog about Simon, a young mathematician and programmer, and his little sister Neva. We write this blog together, share their projects and thoughts on their journey towards self-dicovery. They’re growing up in a supportive non-coercive learning environment. We deeply believe in interest-based, self-paced education and have had to move countries to make this possible as a family.
Visit Simon’s website at https://simontiger.com/
We are a family from Amsterdam who moved to Antwerp because homeschooling is illegal in The Netherlands.
This blog started as https://antwerpenhomeschooling.wordpress.com in March 2016. Over the years, most of our entries have gravitated towards exploring together with Simon as he has developed an insatiable passion for programming, math and science. His sister Neva is treading on his heals. We changed or name to Geeks of the Box in May 2021.
How to draw the Golden Ratio (Phi)
Simon shows how to draw a segment that is Phi times longer than a unit segment. He learned from a video by James Grime how to draw the square root … Continue reading How to draw the Golden Ratio (Phi)
Summer Style Math
With grandma visiting
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
Random Field Card Trick
Simon has invented this card trick using a random field of cards and allowing him to predict nearly the whole path through the field. You can play along as a … Continue reading Random Field Card Trick
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:
Archemedes Puzzle
Simon showing the Archimedes puzzle he made himself to his Russian grandmom. Archimedes had created a colorless version of this puzzle, but Simon decided to add colors and use the … Continue reading Archemedes Puzzle
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?
Mathematical Knots
And Simon learned that a Mobius ring is a knot, too.
Geeks out of the box 