Regolo’s Square Fractal

Beautiful, where can I get my hands on one of these? :) 

Dragon Fractal - Level 5

If you take each of the 4 sides of a square and modify the angle of the dragon fractal as you go up, you get this shape. I’m still fighting the 3d models to get a nice smooth version.

One of my favorite gifs of all time!!! 

periods

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

Verkligen en vacker skapelse!

Golden rectangle

Neet way to learn matrixmultiplication!

An interactive matrix multiplication calculator for educational purposes

matrixmultiplication.xyz

“One day it just snapped in my mind how the number of rows of the first matrix has to match the number of columns in the second matrix, which means they must perfectly align when the second matrix is rotated by 90°. From there, the second matrix trickles down, “combing” the values in the first matrix. The values are multiplied and added together. In my head, I called this the “waterfall method”, and used it to perform my calculations in the university courses. It worked.”

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.

Wolfram shows off :)

So Google does math for you??

division

square roots

dividing percentages

IT EVEN FOILS

beautiful.

Whats  #tessellationnation?

Nesting Stars, London, UK, 2016 - Balmond Studio

Wow, this story is my hope for humanity! Keep it up and keep doing what you do, Mathed-potatoes! :)

People never cease to amaze me in every way. 

Today, we had an emergency response drill. This involves flashing lights and loud sounds. I have a neurological disorder that makes this type of even very uncomfortable. 

The hour before this drill, I had an incredibly disappointing interaction with one of my work supervisors. My reaction was much stronger than I might have anticipated on a theoretical level, and I was still reeling when the drill started… so I didn’t take steps to avoid the sensory barrage. The loud noises happen first, and I was already starting to spiral the drain. 

And then…

And then one of my students caught my attention. She told me the lights were about to start flashing, and asked if I needed to go outside. I was so far gone I couldn’t really process how to do the ‘get outside’ thing. Like, I couldn’t find ‘outside.’ So she sherpa’d me to safety, just in time to avoid the flashy lights that would have triggered a full meltdown. 

So, here’s the thing: I have mentioned my disorder to her once, in passing, by name only. She literally remembered that I had a condition, and took steps to know what emergency protocol I might need in certain situations. I thanked her profusely, and asked how she had learned to be so sensitive to stuff like that. She told me she has a younger sister with a disability, and so she understands how significant the timely attention of a knowledgeable ally can be. 

It is significant. It makes a world of difference. 

She saved the day for me. 

She kept me from having to leave in the middle of the day, from having to cancel my afternoon discussions. 

And, at that particular moment, when I was still shocked by an instance of the human capacity to harm, she reminded that their capacity to help, to be compassionate, to care about one another, is far greater still.

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….

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