# Favourites #4

After months of a drought because of school, it's time to post again. I'm sorry I couldn't post more, and I'll try my best. And I know today's post is short, but I'm really out of time and I want to get this out on time. Sorry! Song: We Can Dream by Creo Ah, Creo. … Continue reading Favourites #4

# 1, 2, 3, 4, … , +1?

The proof on the theorem of four consecutive numbers + 1, including a little example.

# Random challenge

The first blog post in a stream of potentially hundreds. The "Random challenge".

# In memory of a great mathematician …

John Horton Conway. This will be Conway's Chained Arrow Notation, created by Conway and R. K. Guy. If you read this and you suddenly see CAN, that means Chained Arrow Notation. CAN is defined as follows: a → b = aba → b → c = a ↑c b = a ↑↑↑↑↑ b with c … Continue reading In memory of a great mathematician …

# The simple enigma

Well, not an enigma. Tantalizer 479. We're back with another "enigma" puzzle! I'll simplify it. Someone let the cat out. Who did it? Out of five suspects, their accusations are: Delia says it was one of the twins, Bert or ClaudAlice says it was BertBert (shame on you) says it was Claud, their twinClaud says … Continue reading The simple enigma

# Happy (not really) Pi Approximation day!

As a tau-believer, I don't really enjoy posting about pi and such, so I'll make this quick. There are approximations for pi, rational approximations that try and estimate pi, and they're basically different numbers, and 22/7 = 3.142857..., accurate to two digits beyond the decimal point. Happy Pi Approximation day!

# I don’t think you have any idea how fast I am

I'm fast as fΓ0(n) boi What on Earth is fΓ0(n)? Remember the last post, Fast as (insert word here) boi, where I talked about the fast-growing hierarchy? These are just extensions on it. Let's take a step down. Do you remember ω? The ordinal that used the diagonal of the hierarchy table? (I'll be completely … Continue reading I don’t think you have any idea how fast I am

# One amazing step for man…

This is a really big step. RAYO'S NUMBER. It's defined as Rayo(10^100). For all I know, it might end with 7. What is Rayo(n)? So you see, there used to be this battle at MIT named THE BIG NUMBER DUEL The duel was not a fighting duel. No! This duel was to see which person … Continue reading One amazing step for man…

# Happy Tau Day!

Yes, the time has come. The day when we all celebrate the sacred (not) circle constant, τ. Fun fact: if you Google "Tau Day", it's a real thing! So, τ. The number that is equal to 2π. Why is τ right and π wrong? Think of a circle with radius 1. Now, before I state … Continue reading Happy Tau Day!

# A big number that shrinks down to about three

I remember this from a book. The puzzle is: The sum of the factors of 360 is 1170. What is the sum of the reciprocals of the factors of 360? At first glance, it might seem impossible to solve, but when you look at it deeper, it's easy. Let's do the classic: 1/1 + 1/2 … Continue reading A big number that shrinks down to about three