# Do You Even Maths?

Reblogging anything that amuses me.

When people ask me how I can be a math major and still say I’m not good with numbers, I’m like ‘here, let me draw you a picture.’

Golden Ratio φ = (1+sqrt(5))/2 = 1.6180339887498948482…

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0. Two quantities a and b are said to be in the golden ratio φ if

(a+b)/a = a/b = φ

One method for finding the value of φ is to start with the left fraction. Through simplifying the fraction and substituting in b/a = 1/φ:

(a+b)/a = 1+ b/a = 1+1/φ

Therefore: 1+1/φ = φ
Multiplying by φ gives: φ^2 - φ - 1 = 0

Using the quadratic formula, two solutions are obtained::

φ = (1- sqrt(5))/2 or φ = (1+sqrt(5))/2

Because φ is the ratio between positive quantities φ is necessarily positive:

φ = (1+sqrt(5))/2 = 1.6180339887498948482…

See more at Golden Ratio.

Image: Phi (golden number) by Steve Lewis.

(via visualizingmath)

## Dont miss out on something that could be great just because it could also be difficult.

—Unknown (via get-fit2fuck)

## This dude has a sick skill!!

_______

This rock balancing is done by Michael Grab. He is an artist and has killer patience. On his site gravityglue.com, Grab explains:

“The most fundamental element of balancing in a physical sense is finding some kind of ‘tripod’ for the rock to stand on. Every rock is covered in a variety of tiny to large indentations that can act as a tripod for the rock to stand upright, or in most orientations you can think of with other rocks. By paying close attention to the feeling of the rocks, you will start to feel even the smallest clicks as the notches of the rocks in contact are moving over one another. Parallel to the physical element of finding tripods, the most fundamental non-physical element is harder to explain through words. In a nutshell, I am referring to meditation, or finding a zero point or silence within yourself. Some balances can apply significant pressure on your mind and your patience. The challenge is overcoming any doubt that may arise.” Pretty sick, amiright?

WHAT

Incredible

(via celestial-resonance)

John Conway first theorized that it would be impossible to create a forever-expanding universe using these rules, which was proven wrong by a team at MIT, creating the “glider gun,” which is featured in the third gif.

Since then, thanks to computers, people all over the world have added new designs to the database, creating amazingly complex designs.

For example Andrew J. Wade created a design which replicates itself every 34 million generations! Furthermore it is also a spaceship (permanently moving pattern) and not only that, it was also the first spaceship that did not travel purely diagonally or horizontally/vertically! These types of spaceships are now appropriately named Knightships.

The simulation has some interesting properties, for example it has a theoretical maximum speed information can travel. Or simply, light speed - as that is the limit in our own universe. The limit is set to 1 cell per generation - after all how can you create something further than 1 cell away in one generation if you can only effect your immediate neighbours? And yet you can get things like the ‘stargate’ (Love the name, huge SG fan here.) which allows a space ship to travel 11 cells in just 6 generations.

Some smart people have even designed calculators, prime number generators and other incredibly complex patterns.

You can create your own patterns here: http://www.bitstorm.org/gameoflife/