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Dante Johnson
Worked at Auntie Anne's
Lived in Alaska
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Dante Johnson

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Copy/Paste (even Edit and Translate) Text Inside Images with a Free Chrome Extension:
"Project Naptha automatically applies state-of-the-art computer vision algorithms on every image you see while browsing the web. The result is a seamless and intuitive experience, where you can highlight as well as copy and paste and even edit and translate the text formerly trapped within an image." http://projectnaptha.com/

This plugin is so cool, it makes me want to learn all about computer vision algorithms just so I can understand how it works! And it does work. I installed it and tried it out, and I have to say I'm still amazed. It works very well. This will save me a lot of time!
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Dante Johnson

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Perfect Squared Squares

It is easy to tile a square area using smaller square tiles that are all the same size as each other, but tiling a square area using smaller square tiles that are all of different sizes is much harder. 

This picture shows one possible way to tile a 1376 by 1376 square using smaller square tiles that are all of different sizes. The numbers in each smaller square denote the length of each of its sides, as opposed to its area. The solution in the picture has another remarkable property: it is not possible to form a rectangle from the union of a subset of the tiles, except in trivial ways. 

A rectangle that is partitioned into smaller squares is known as a squared rectangle. If the rectangle happens to be square, then it is known as a squared square. If all of the smaller squares have different sizes, the squared square is called perfect, and if no proper nontrivial union of the smaller squares forms a rectangle, the squared square is called simple. The configuration in the picture is therefore an example of a simple perfect squared square, or SPSS for short.

The history of perfect squared squares is surprisingly long. It starts in 1902 when H.E. Dudeney published a puzzle called Lady Isabel's Casket. The puzzle involves partitioning a square into different sized smaller squares together with a rectangle. In 1903, Max Dehn proved the key result that a rectangle can be tiled by squares if and only if its length is a rational multiple of its width. This result can be used to show that if a tiling by squares is possible, then the rectangle can be scaled in such a way that all of its side lengths, as well as all the side lengths of its constituent squares, are integers. Since 1903, a large number of examples of squared rectangles have been produced by many mathematicians. The history of the subject is surprisingly rich, and is recounted in detail in the paper http://arxiv.org/abs/1303.0599 by Stuart E. Anderson.

The simple perfect squared square in the picture was discovered in 2013 by James B. Williams using a computer search. It has the distinctive feature that none of the seven largest constituent squares (shaded in purple) appears as a corner piece (shaded in green).

Now I know what you're thinking. What happens if you try to construct a similar type of square tiling on a cylinder? Or a Möbius strip? Or a Klein bottle? Or a projective plane? And what happens if we use triangles instead of squares? Well, you'll be pleased to know that the site http://www.squaring.net treats all these cases in detail. (You should have a look at the site, because it probably contains more detail than you are expecting.) The illustration here comes from that website, which is maintained by Stuart E. Anderson.

On the other hand, if you're wondering why people would want to study this, I don't have a good answer, except that it is challenging and aesthetically appealing.

#mathematics #sciencesunday #spnetwork arXiv:1303.0599
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Dante Johnson

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Science Summary of the Week

➤ Embryonic stem cells: http://is.gd/QcLtA1
➤ Earth-sized planet: http://is.gd/nvkkZn
➤ Cancer nanoparticles: http://is.gd/9qrIsi
➤ Quantum dot breakthrough: http://is.gd/iRJCsr
➤ New Saturn’s Moon: http://is.gd/kvfymU
➤ Blindness treatment: http://is.gd/jWNJBL
➤ Artificial blood: http://is.gd/zrEpP7
➤ Ancient landscape: http://is.gd/z9RZTI

➤ Enlarge This Graphic: http://is.gd/R0aLZk
➤ More Science Graphics Here: http://is.gd/ytqOG8
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Dante Johnson

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Coloring Book Corruptions is a blog that showcases a wide variety of innocent children's coloring book pages that have been defaced and turned into something sinister. You can submit your own defac...
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The title's reference to Gladwell's 10,000 hours is a bit misleading, and even link-baity; this article is really an important summary of recent research relating to what contributes to the effectiveness of learning. It's a must-read for anyone involved in teaching.
#gplus  
Contrary to what the bestselling author would tell you, obsessive practice isn't the key to success. Here's why
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Dante Johnson

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This Week in Technology
 
➤ 3D-printed homes: http://is.gd/rMoBWV
➤ Smartphone microscope: http://is.gd/pV8njE
➤ SpaceX F9 Rocket: http://is.gd/dMOBbI
➤ Solar energy in the dark: http://is.gd/j85UwM
➤ Smart video game controller: http://is.gd/sb1EHE
➤ Advanced contact lenses: http://is.gd/fNL4la
➤ Glow in the dark road: http://is.gd/QpiI4C
➤ New nanolaser: http://is.gd/Lir1ko
➤ Text reader: http://is.gd/ExiEu3  
➤ Enlarge This Graphic: http://is.gd/dSzibI
➤ More Science Graphics Here: http://is.gd/ytqOG8
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Dante Johnson

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I Found this Awesome Thing

This is just too cool for school...or "2kool4skool" as the kids say. And since I it is my idiom to share all things cool (re:Kool) with you on the interwebs I present it to you here. Commencing the "High Fiving". Her reaction of utter glee is what makes this so much awesomesauce.

#awesome #gif #gifness #kenjutsu #awesomesauce  
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Bought bacon pieces, Vanilla ice cream and some Maple syrup. Mixed them together to make bacon maple ice cream! :D
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Story
Tagline
Occasionally depressed. Rarely irrational.
Introduction
I don't participate. I watch, I observe, I listen, I think. 

I like to talk about thoughts and ideas and meanings. I try to make sense of things.

I find beauty in the combination of power and elegance. A flame, a tiger, a lightning bolt, a blade. I love the sound of rain.

Passion, dedication, and commitment. Whether love, work, hobby, or some other important part of life, greatness becomes more likely with those three ingredients. 

I believe that the deliberate spreading of misinformation by those whose role is to deliver accurate information should be a criminal offense.

I prefer games with clear rules.
Bragging rights
I type using the Dvorak keyboard layout. Jonathan Frakes (Commander Riker from Next Generation) took a picture of me once.
Places
Map of the places this user has livedMap of the places this user has livedMap of the places this user has lived
Previously
Alaska - Japan - Oklahoma - Florida
Work
Occupation
Currently: Bake, Soon: Financial Planner.
Employment
  • Auntie Anne's
  • Panera Bread
  • Winn-Dixie
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Male
Other names
Zuramed
Dante Johnson's +1's are the things they like, agree with, or want to recommend.
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(PhysOrg.com) -- Educational philosophy in Finland is strikingly different than in the United States, but the students there outperform U.S.

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Emotion-sensing computer software that models and responds to students' cognitive and emotional states -- including frustration and boredom

SC2Casts.com - All Starcraft 2 video casted matches / VODs in one place !
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Keeps track of the best Starcraft 2 video casted matches from all over the Internet

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Henry Markram is attempting to reverse engineer an entire brain, one neuron at a time, on IBM supercomputers. This piece is the Year Two pre

Do You Suffer From Decision Fatigue?
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The very act of making decisions depletes our ability to make them well. So how do we navigate a world of endless choice?

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