Phi The sigma sum I will prove that the sigma sum is true given the value of phi, which is also the reciprocal of the golden ratio. Remember how Φ^2 = 1 - Φ? The sigma sum states that 1 - Φ + Φ - Φ^2 + Φ^2 - Φ^3 + Φ^3 - Φ^4 + … Continue reading Conway’s Soldiers… part 2.
The unreachable, the impossible, the multidimensional…
Level five of Conway's Soldiers, once thought impossible, but proved possible with certain manipulations. Credits to Simon Tatham and Gareth Taylor for the solution.
In memory of a big influence…
#RIPMichigun https://twitter.com/vipringd/status/1376856468943687683 Rest in peace, Michigun, fly high This was a few days ago, probably a week, but in memory of Michigun, the Geometry Dash player everyone could look up to, I decided, "why not?" Michigun made a very famous level called "The Triple Trials" and I will be doing an analysis on it. There … Continue reading In memory of a big influence…
A neat way to calculate the area of a rectangle
I was sitting down, solving one of Catriona Shearer's geometry puzzles when I found this (by myself): Look, I know it's not the best of drawings, but it's what I did. If we call the long diagonal x, and the line segment perpendicular to the diagonal y, then the area of the triangle = xy/2, … Continue reading A neat way to calculate the area of a rectangle
The uninteresting paradox
When I say uninteresting, I don't mean that this paradox is uninteresting. It means "relating to the interesting/uninteresting numbers" and this is a paradox that is about uninteresting numbers. When we say interesting number, they're numbers with special features. Like 1 is the first positive integer, 2 is the only even prime, 3 is the … Continue reading The uninteresting paradox
The banana length puzzle
This is a puzzle from How to bake π by Eugenia Cheng, if you haven't checked it out, make sure to do so. Here we go... A rope over the top of a fence has the same length on each side, and weighs one-third of a pound per foot. On one end hangs a monkey … Continue reading The banana length puzzle
TAU DAY!
Hello everybody! I am proud to announce that today is TAU DAY! Yay! Because it's tau day, I'll copy and paste 100 digits of tau: 6.2831853071795864769252867665590057683943387987502116419498891846156328125724179972560696506842341359 If you want to see 100000 digits of tau, figure out my puzzle! (fastest Minecraft speedrunner on youtube capitalized)+(fastest Rubik's Cube solver with space and Capitalized name)+(my favourite number) … Continue reading TAU DAY!
help me
Guys, I have way too many puzzles for my new book, but not enough facts about math or science. HELP ME PLEASE!!!!!!!!! If you have any inspirations please send through hexaflexagons2009@gmail.com Thank you! Top 5 best inspirations will get a shoutout in the new book. Thanks!
Protected: My secret task for you
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A secret hint
My first number is the same as the fifth My last three numbers are an arithmetic progression with +1 My third digit is x, where 1/x is undefined Subtract me from 0 and I am negative Only one of my digits is a one My second number is 9 (big hint) My first is the … Continue reading A secret hint
Math we NEED to know 