mrvmt

Latest Posts by mrvmt

Glad to see your back. Love your work. As always, keep up the good job! And btw, nice covergirl photo ;)

Rough draft of a sculpture illustrating the electric field lines between two equal and opposite charges.

(Hi! I’m still alive, sorry for ghostin ya tumblr. I stopped posting because my reclusive tendencies have gotten really out of control over the past year or so, but I’m trying to take little baby steps to quittin my bullshit so bear with me! Still makin math art like crazy, so I thought I’d start with sendin u this lil ditty I whipped up a couple weeks ago. Plenty more where this came from, I promise!)

Hey IBM,  Always loved your posts. BUT THIS, you want people to drink milk from a cow? The milk is for the calf! Shame on you for spreading the lie that milk is good for the body. It’s proven that milk is not good for humans after the age of 12. Stop treat animals like they are made for us humans to abuse! There is no humane way to kill or inseminate another living creature! Hope this is your first and last post propagates for animal abuse!

Dairy DNA

Milk, it does a body good, and we want to make sure it stays that way. In order to help protect the safety of this ingredient found in so many foods, IBM and Cornell University are working on a way to monitor raw milk straight from the source. By sequencing the DNA and RNA of milk and its surrounding microbes, they hope to be able to instantly detect food safety hazards so they don’t have a chance to make it into your glass or onto your plate.

Learn more ->

More of the noise. Lovely to look at!

Flow fields, click for higher resolution.

Wow, This was really intresting

This, wow!

Impressive artwork.

Dr. Greg Dunn (artist and neuroscientist) and Dr. Brian Edwards (artist and applied physicist) created Self Reflected to elucidate the nature of human consciousness, bridging the connection between the mysterious three pound macroscopic brain and the microscopic behavior of neurons. Self Reflected offers an unprecedented insight of the brain into itself, revealing through a technique called reflective microetching the enormous scope of beautiful and delicately balanced neural choreographies designed to reflect what is occurring in our own minds as we observe this work of art. Self Reflected was created to remind us that the most marvelous machine in the known universe is at the core of our being and is the root of our shared humanity.

h-t New Scientist: Brain images display the beauty and complexity of consciousness

Animal Gaits for Animators by Stephen Cunnane

Got to love Geometry!

The Complex Geometry of Islamic Design

In Islamic culture, geometry is everywhere. You can find it in mosques, madrasas, palaces and private homes. This tradition began in the 8th century CE during the early history of Islam, when craftsman took preexisting motifs from Roman and Persian cultures and developed them into new forms of visual expression. 

This period of history was a golden age of Islamic culture, during which many achievements of previous civilizations were preserved and further developed, resulting in fundamental advancements in scientific study and mathematics. Accompanying this was an increasingly sophisticated use of abstraction and complex geometry in Islamic art, from intricate floral motifs adorning carpets and textiles, to patterns of tile work that seemed to repeat infinitely, inspiring wonder and contemplation of eternal order.

 Despite the remarkable complexity of these designs, they can be created with just a compass to draw circles and a ruler to make lines within them, and from these simple tools emerges a kaleidoscope multiplicity of patterns. So how does that work? Well, everything starts with a circle. The first major decision is how will you divide it up? Most patterns split the circle into four, five or six equal sections. And each division gives rise to distinctive patterns. 

There’s an easy way to determine whether any pattern is based on fourfold, fivefold, or sixfold symmetry. Most contain stars surrounded by petal shapes. Counting the number of rays on a starburst, or the number of petals around it, tells us what category the pattern falls into. A star with six rays, or surrounded by six petals, belongs in the sixfold category. One with eight petals is part of the fourfold category, and so on. 

There’s another secret ingredient in these designs: an underlying grid. Invisible, but essential to every pattern, the grid helps determine the scale of the composition before work begins, keeps the pattern accurate, and facilitates the invention of incredible new patterns. Let’s look at an example of how these elements come together. 

We’ll start with a circle within a square, and divide it into eight equal parts. We can then draw a pair of criss-crossing lines and overlay them with another two. These lines are called construction lines, and by choosing a set of their segments, we’ll form the basis of our repeating pattern. 

Many different designs are possible from the same construction lines just by picking different segments. And the full pattern finally emerges when we create a grid with many repetitions of this one tile in a process called tessellation.

By choosing a different set of construction lines, we might have created this any of the above patterns. The possibilities are virtually endless.  

We can follow the same steps to create sixfold patterns by drawing construction lines over a circle divided into six parts, and then tessellating it, we can make something like the above.

Here’s another sixfold pattern that has appeared across the centuries and all over the Islamic world, including Marrakesh, Agra, Konya and the Alhambra. 

Fourfold patterns fit in a square grid, and sixfold patterns in a hexagonal grid. 

Fivefold patterns, however, are more challenging to tessellate because pentagons don’t neatly fill a surface, so instead of just creating a pattern in a pentagon, other shapes have to be added to make something that is repeatable, resulting in patterns that may seem confoundingly complex, but are still relatively simple to create. 

This more than 1,000-year-old tradition has wielded basic geometry to produce works that are intricate, decorative and pleasing to the eye. And these craftsman prove just how much is possible with some artistic intuition, creativity, dedication along with a great compass and ruler.

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.”

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.

Wolfram shows off :)

So Google does math for you??

division

square roots

dividing percentages

IT EVEN FOILS

beautiful.

Geometry apps!

I have stumble upon some of the neatest apps, for a person like me that love geometry, these apps are just what I’ve been looking for!

Euclidea:

IOS: https://itunes.apple.com/app/id927914361 Android: https://play.google.com/store/apps/details?id=com.hil_hk.euclidea This app is only Euclidean geometry, that’s what I like the most. Appinfo: Euclidea is a brilliantly original way to learn about, explore and have fun with Euclidian Constructions! Your task is to solve interesting challenges by building geometric constructions with a straightedge and compass. If you design the most elegantly simple solutions in the least number of moves, you’ll earn the highest scores. Solutions are scored in lines (L) and elementary Euclidean constructions (E).

XSection:

IOS: https://itunes.apple.com/us/app/xsection/id1069933287?mt=8 Haven’t found it on Android yet, but this app aims to learn you about Polyhedrons, cross sections and geometry. Appinfo: Learn how to construct cross sections of polyhedrons. Study different techniques, train yourself, and then solve geometric puzzles. 

Pythagorea:

IOS: https://itunes.apple.com/us/app/pythagorea-geometry-on-square/id994864779?mt=8 Android: https://play.google.com/store/apps/details?id=com.hil_hk.pythagorea&hl=sv Just found this game, so I paste the appinfo: Pythagorea is a collection of geometric puzzles of different kind that can be solved without complex constructions or calculations. All objects are drawn on a grid whose cells are squares. A lot of levels can be solved using just your geometric intuition or by finding natural laws, regularity, and symmetry. 

Pythagorea60:

IOS: https://itunes.apple.com/us/app/pythagorea-60-geometry-on/id1043064990?mt=8 Android: https://play.google.com/store/apps/details?id=com.hil_hk.pythagorea60&hl=sv Just found this game, so I paste the appinfo: Pythagorea 60° is a collection of more than 270 geometric problems of different kind that can be solved without complex constructions or calculations. All objects are drawn on a grid whose cells are equilateral triangles. A lot of levels can be solved using just your geometric intuition or by finding natural laws, regularity, and symmetry. 

Horis International Limited

All these games are made from the same developer, Horis International Limited:  IOS: https://itunes.apple.com/us/developer/horis-international-limited/id646324304 Android: https://play.google.com/store/apps/developer?id=HORIS+INTERNATIONAL+LIMITED Big up, love this!

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 )

Greenpeace #clickclean campaign GIFs ‘Wind Turbine Likes’

Greenpeace #clickclean campaign GIFs ‘Renewable Heart’

(via https://www.youtube.com/watch?v=0C75vRVL5lE)

One of the best videos on youtube!

I’ll post more here: instagram.com/nathanwpyle

Take a deep breath. 

Master of geogebra helped me out with this! Thanks!

Table Saw

@mrvmt requested a table saw sketch, and this is the first draft. In GeoGebra here.

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!

This slide is really something! :)

Video of my talk last week at ICERM, where I discussed a bit of my process for making GIFs. You can also access my slides here.

Whats  #tessellationnation?

Nesting Stars, London, UK, 2016 - Balmond Studio

Got two Mongolian friends here at work if you want me to ask them? :)

Here’s my first attempt at Mongolian calligraphy.

I would greatly appreciate feedback.

I just love nerds like this! Wow, you amaze me!

Here’s a time-lapse I took of my friend and I wrapping copper wire around our radio telescope antenna. 

If any of the other stages of the build process would make for interesting videos, I will try to post them as well.

This beef just got REAL!

NDT just murdered B.o.B.

Wow! You have come real far with this now! Amazing work. Keep it up!

Mechanics of Form. Work in progress.

How the f could a human do something like that? I want to see a video of that guy in action.

His name:  Achim Leistner.

He is the master optician of the Avogadro project, an international effort to define the Avogadro constantwith maximum precision. He was asked to join the project from retirement as it was deemed that his expertise and craftsmanship were essential for the success of the project.

Here is a video: [x]

(Fact Source) For more facts, follow Ultrafacts

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.

Three of my favorite tumblrs in one post, keep it up boys. :)

Dog Chase - Switcher

I saw Regolo Bizzi’s wonderful drawings on twitter, and I had to try and make them in processing. I recognized it as a version of the dog chase problem (where dogs at each corner of a square are chasing the dog to their left), but now they switch from the left dog to the right dog every 100 frames. Also made a hexagon version (6 dogs), because why not?

Square code: http://openprocessing.org/sketch/292065

Polygon code: http://www.openprocessing.org/sketch/292076

Does this post explain this aswell? https://www.youtube.com/watch?v=uENITui5_jU

The Strobe Light Conundrum

The post - Illusion of Perception obviously confused a lot of people since I have been getting a lot of requests to explain it again.

Let me try it again with another animation.

The setup

The illusion of falling droplets is created by a pump which is pushing out the water droplets at a fixed rate. ( call it X ) - Does NOT change.

Changing the frequency of the strobe light ( call it Y ) is the integral part of the illusion.

The flow is similar to that of your shower head. The water droplets are continuously falling down. With the strobe light, we are just illuminating the droplets at different instances of time.

When  X = Y  —>  The droplets appear stationary.

Imagine yourself to be sitting on top of the hose and watching every drop fall through. Whenever the droplet of water is about to leave the hose, the light flashes. This renders the droplet as stationary.

Let us call the distance between the droplets as L.

When Y > X  — > The droplets appear to move up.

Now, the strobe light flashes a little too quickly than the rate of the drop falling. This gives us the illusion of droplets moving up since you are flashing the light before the droplet has traversed the distance L.

When Y < X  — > The droplets appear to move down.

Now, the strobe light flashes a little slower than the rate of the drop falling. This gives us the illusion of droplets moving down since you are flashing the light after the droplet has traversed the distance L.

Thank you so much for expressing your concerns and I apologize if it had confused you. I hope this post made it up

Have a good day :)

EDIT - Here is the actual gif from the illusion of perception post.

Wow, it’s somehow really relaxing in this!

Koalas to the Max

Mike Lawler and Dave Radcliffe reminded me of this great goofy site: Koalas to the Max. 4x the fun of your usual dots site.