Time To Take Actions! We Only Got One Place To Call Home, So Lets Act Like Its Our Home!

Beautiful! 

Double Arm

This sketch was made by rotating point 1 around a circle, rotating point 2 around point 1, and then joining a line between point 1 and point 2. In the gif point 2 is traveling in the same direction as point 1. Point 1 is traveling at 1x, and point 2 is traveling at 2x. Following the gif are some of my favorite combinations of the periods:

Rotating same direction:

1x and 1x

1x and 2x

1x and 5x

2x and 1x

2x and 5x

5x and 8x

The last image is an array of all the varieties from 1x to 9x for each point.

code: http://p5js.sketchpad.cc/sp/pad/view/jLceHatXid/latest

Hahaha, Words like “Grönsakspanik”, “Terrorlugn” and “Gerillabroderi”. WTF is this. :D Im from Sweden and have never heard of those words.. :D

Swedish tabloids have a habit of inventing new compound words which catch your attention and carry a lot of information, but which mostly are just ridiculous, especially out of context. I will translate a few:

pirogtumult - pie riot snösmocka - snow punch skottningshysteri - snow-shoveling mania slipsvåld - tie violence gravidbråkar - pregnant-quarreling älgdrama - moose drama psykchockskrigsattacken - the psychological shock war attack (in the context of ice hockey) bajsplågan - the poop torment vrålonani - roar wank dödskorvar - death sausages

[Source]

(submitted by @ordlista )

Langton's Ant - Numberphile

Langton's Ant - starring Katie Steckles (and Audrey). Extra footage: https://youtu.be/oTssNuDEkSc The 104-steps: https://youtu.be/xU072T4V12A John Conway vid...

I wounder what the gif community could do with such a simple code! :) 

This beef just got REAL!

NDT just murdered B.o.B.

Whats  #tessellationnation?

Nesting Stars, London, UK, 2016 - Balmond Studio

Like your piece. With flowers and everything! :)

http://autolyses.tumblr.com/tagged/autou

some photos I’ve taken or things I’ve made, just for fun

Wow, This was really intresting

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

This guy!

Big Brains. Small Films.  Benoît Mandelbrot, The Father of Fractals

In his final interview shot by filmmaker Errol Morris, Mandelbrot shares his love for math and how it led him to his wondrous discovery of fractals.