Another dive into Simon’s sketchbook
Some more beautiful pages (from January and February) I forgot to share:
Category: Simon’s sketch book
Shapes of constant width
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
The Math Behind 2048
Simon shares his strategy to win a 2048 game. He has also worked out a general formula of what a maximum tile can be in any grid. For a 4 … Continue reading The Math Behind 2048
Fundamental Theorem of Arithmetic
Simon working on his proof of the Fundamental Theorem of Arithmetic (he got stuck and then searched for existing proofs online).
Computers of the Future: How Far Do We Need to Go?
How many bits will computer operation memory have and how many do we need to have to link every single particle in the Universe to the internet? And how useful … Continue reading Computers of the Future: How Far Do We Need to Go?
Larger than Graham’s number!
Simon explains strong and weak tree sequences and reveals the greatest finite number used in mathematics: TREE(3), a lot larger than Graham’s number. The TREE sequence is a fast-growing function arising out … Continue reading Larger than Graham’s number!
L-Systems
Simon loves various L-Systems, sets of rules transforming letters into geometric structures. He used to program these, this time he recreated some by hand.
Simon differentiating 3tan(2x)
To solve the problem, Simon chooses not to look up what the derivative of a tangent is but work everything out from scratch. He generally doesn’t like rote learning but … Continue reading Simon differentiating 3tan(2x)
Electromagnetic Spectrum and the Opponent-process Theory
Simon has been fascinated about the Opponent-process theory (suggesting that color perception is controlled by the activity of three opponent systems, three independent receptor types which all have opposing pairs: white … Continue reading Electromagnetic Spectrum and the Opponent-process Theory
Geeks out of the box 