Greenpeace #clickclean Campaign GIFs ‘Renewable Heart’

Time to take actions! We only got one place to call home, so lets act like its our home!

As governments discuss climate change in Paris, they’ll be referring to the dire predictions of climate scientists. Here are three visualizations of possible futures based on detailed climate models and summed up by the United Nations’ Intergovernmental Panel on Climate Change (IPCC) in their 2013 report. The deeper the red - the hotter things are getting.

The message is clear: we better act fast.

How did they come up with these models? Read or listen to Nell Greenfieldboyce’s story.

Image Credit: NASA’s Scientific Visualization Studio and NASA Center for Climate Simulation

Regolo’s Square Fractal

Inspiration: http://regolo54.tumblr.com/post/150627614707/fractal

Code as is.

Interactive code. Up/down/left/right mouse controls the size and placement of the squares. Up/Down arrows control how many squares are in each ring. Any other key will save the frame as a picture!

So pleasing for the eye to watch!

The Trefoil

(cf.)

Hey, do you got juvenoia?  Heres a video for you: https://www.youtube.com/watch?v=LD0x7ho_IYc :)

Take care!

kids these days and their baryons; why, in my day, we didnt even have the strong force 

Damn, yes, why wouldn’t you! Looks great!

idk, why wouldn’t I make these and post them

Hey BAB, could you please share the code to this? Im on the way to learn some processing and this is the kind of code i would like to learn. So, please share, so i can learn from it :)

Take care mate!

rgb knot

More of the noise. Lovely to look at!

Flow fields, click for higher resolution.

Numberphile (https://www.youtube.com/channel/UCoxcjq-8xIDTYp3uz647V5A) Got some good videos on the subject.

Heres one that introduce the topic: https://www.youtube.com/watch?v=aqyyhhnGraw

Did you know that there’s a whole branch of topology called knot theory studying knots?

Find out more here: https://en.m.wikipedia.org/wiki/Knot_theory

How beautiful! 

Fibonacci you crazy bastard….

As seen in the solar system (by no ridiculous coincidence), Earth orbits the Sun 8 times in the same period that Venus orbits the Sun 13 times! Drawing a line between Earth & Venus every week results in a spectacular FIVE side symmetry!!

Lets bring up those Fibonacci numbers again: 1, 1, 2, 3, 5, 8, 13, 21, 34..

So if we imagine planets with Fibonacci orbits, do they create Fibonacci symmetries?!

You bet!! Depicted here is a:

2 sided symmetry (5 orbits x 3 orbits)

3 sided symmetry (8 orbits x 5 orbits)

5 sided symmetry (13 orbits x 8 orbits) - like Earth & Venus

8 sided symmetry (21 orbits x 13 orbits)

I wonder if relationships like this exist somewhere in the universe….

Read the Book    |    Follow    |    Hi-Res    -2-    -3-    -5-    -8-

Back when I was in school, this concept was really hard for me to grasp my head around, and I must say, this was a compelling way to understand the function of multiplying with negative numbers!

Thanks!

By virtue of everyday usage, the fact that (-1) x (-1) = 1 has been engraved onto our heads. But, only recently did I actually sit down to explore why, in general negative times negative yields a positive number !

Intuition.

Let’s play a game called “continue the pattern”. You would be surprised, how intuitive the results are:

2 x 3 = 6

2 x 2 = 4

2 x 1 = 2

2 x 0 = 0

2 x (-1) = ??  (Answer : -2 )

2 x (-2 ) = ?? (Answer : -4 )

2 x ( -3) = ?? (Answer : -6 )

The number on the right-hand side keeps decreasing by 2 !

Therefore positive x negative = negative. 

2 x -3 = -6

1 x -3 = -3

0 x -3 = 0

-1 x -3 = ?? (Answer : 3)

-2 x -3 = ?? (Answer : 6)

The number on the right-hand side keeps increasing by 3.

Therefore negative x negative = positive.

Pretty Awesome, right? But, let’s up the ante and compliment our intuition.

The Number Line Approach.

Imagine a number line on which you walk. Multiplying x*y is taking x steps, each of size y.

Negative steps require you to face the negative end of the line before you start walking and negative step sizes are backward (i.e., heel first) steps.

So, -x*-y means to stand on zero, face in the negative direction, and then take x backward steps, each of size y.

Ergo, -1 x -1 means to stand on 0, face in the negative direction, and then take 1 backward step. This lands us smack right on +1 !

The Complex Numbers Approach.

The “i” in a complex number is an Instruction! An instruction to turn 90 degrees in the counterclockwise direction. Then i * i would be an instruction to turn 180 degrees. ( i x i = -1 ). where i = √-1

Similarly ( -1 ) x i x i = (- 1 ) x ( -1 )= 1. A complete revolution renders you back to +1.

We can snug in conveniently with the knowledge of complex numbers. But, complex numbers were established only in the 16th century and the fact that negative time negative yields a positive number was well established before that.

Concluding remarks.

Hope you enjoyed the post and Pardon me if you found this to be rudimentary for your taste. This post was inspired by Joseph H. Silverman’s Book - A friendly Introduction to Number Theory. If you are passionate about numbers or math, in general it is a must read.

There are several other arithmetic methods that prove the same, if you are interested feel free to explore.

Have a Good Day!

PC: mathisfun