# math gif

Fibonacci all day, every day [http://bit.ly/2jiUBF6]

beauty of simple

(obvious, ain’t it? explains that one)

Representing what a radian is. For any of my followers who are taking math or physics classes, or are just curious.

Perspective matters

worries bin

psychedelic art gif

## The simple harmonic oscillator

Anonymous asked: Please explain the intuition of solving the SHM equation.

Okay Anon! Here you go, this is my rendition.

## The problem

You have a mass suspended on a spring. We want to know where the mass will be at any instant of time.

Describe the motion of the mass

## The physical solution

Now before we get on to the math, let us first visualize the motion by attaching a spray paint bottle as the mass.

Oh, wait that seems like a function that we are familiar with - The sinusoid.

Without even having to write down a single equation, we have found out the solution to our problem. The motion that is traced  by the mass is a sinusoid.

## But what do I mean by a sinusoid ?

If you took the plotted paper and tried to create that function with the help of sum of polynomials i.e x, x2, x3 … Now you this what it would like :

By taking an infinite of these polynomial sums you get the function Since this series of polynomial occurs a lot, its given the name - sine.

I hope this shed some light on the intuition of the SHM equation. Have fun!

How to draw a regular pentagon [x]

Happy Pi Day!

Oh 3.14159265…, you’re irrational but we love you anyway.

Wait for it.

Lawyer Morty reminds me of undergrads in research labs:
“You have no rights, and he’s not a lawyer. We just keep him here because he’s fun. Look at him go!”

New GIPHY!

Likely an optical illusion.

The sea.

Each color is a sine function. The height is constant because sin(t+0*2*pi/5 )+ sin(t+1*2*pi/5)+sin(t+2*2*pi/5)+sin(t+3*2*pi/5)+sin(t+4*2*pi/5)=0 for all t value.

In a column the i-th segment have length sin(t+i*2*pi/5)+1, so the height is always 5.

aquarium

(rebound of this piece)