Four color theorem Example of a four-colored map A four-coloring of a map of the states of the United States (ignoring lakes). In mathematics, the four color theorem, or the four color map theorem, states that, given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color. Two regions are called adjacent if they share a common boundary that is not a corner, where corners are the points shared by three or more regions.[1] For example, in the map of the United States of America, Utah and Arizona are adjacent, but Utah and New Mexico, which only share a point that also belongs to Arizona and Colorado, are not. Despite the motivation from coloring political maps of countries, the theorem is not of particular interest to mapmakers. The four color theorem was proven in 1976 by Kenneth Appel and Wolfgang Haken. Precise formulation of the theorem[edit] History[edit]
Six Tips For Designing a Memorable Brand | Co.Design When clients call on Yang Kim and Kevin Budelmann, principals of branding firm People Design in Grand Rapids, Michigan, they usually ask for a new logo. "But the logo is just the tip of the iceberg," Budelmann says. Usually, what they really want is a redesigned brand. Kim and Budelmann should know. Since leaving design jobs at Herman Miller 12 years ago, the pair has steadily made a name for themselves with clients such as Steelcase, Whirlpool and ArtPrize. "You never see a logo by itself," Kim says. "It's definitely our point of view," Kim adds. Here's six lessons drawn from their book: 1. WordWorld by Siegel + Gale So many companies strike out because they don't do their homework. 2. Kapulica Studio by Bunch Can you have a constant logo that is still recognizable but also for its variety? 3. The Mob Museum, Wall-to-Wall Studios The authors say this submission is funny, appropriate and cool. 4. 5. Here, Kim and Budelmann selected marks that draw on cultural symbols to make their points.
La beauté des mathématiques Que vous compreniez quelque chose ou pas aux mathématiques, vous avez très certainement déjà eu l'occasion de voir certaines images, démonstrations ou vidéos marquantes issues de cette science. La vidéo ci-dessous vous offrira ni plus ni moins qu'une plongée dans la Matrice. Yann Pineill et Nicolas Lefaucheux de Parachutes.tv se sont attelés à briser cette image ennuyeuse dont souffrent les mathématiques. Pour ce faire, ils ont conçu cette vidéo impressionnante. En prenant des situations de la vie courante, en les schématisant puis en les transposant en équations, on obtient les nombreux triptyques de cette vidéo.
A mathematical bug shows us why the 3D universe leads to Murphy's Law Let's also not forget that unlike, a path, the movement of any string no matter how thin is at least partially governed by the slight recoiling that occurs at the bends and curves. I think analogies are wonderful for explaining complex systems to simple folk like myself, but I hate it when "scientists" try to prove a mathematical system with an insufficient metaphor. Exactly what I was thinking. The way a string falls is not random. Even if you stood there shaking the box it still has all manner of constraints based on where parts of the string both forward and backward from each position are. Like if you have a spiral, and you imagine this bugs walk is from the top spiralling down, this bug cannot actually walk directly downwards because another part of the spiral is already there, no matter how much you try to randomise it with shaking.
Web Design Tutorials for Developers - Web Design Blog – DesignM.ag Get the FlatPix UI Kit for only $7 - Learn More or Buy Now Modern development APIs work like agents for sharing information to other 3rd party websites. I’ve written many past tutorials about API development to help anyone new to this process. There are so many web-based services that it’s tough picking something to grab people’s attention. In this tutorial I want to demonstrate how we can access the Forrst API using jQuery. Read More I was browsing through websites one day and came across one really interesting feature. So in this tutorial I want to demonstrate how we can build a very simple HTML5 webpage recreating a full author bio display. Read More Any company selling a service with payment plans usually breaks up the structure into different packages. For this tutorial I want to demonstrate how we can create pricing tables with just a bit of HTML5 and CSS3. Live Demo – Download Source Code Read More Today’s web users expect web pages to be increasingly more interactive.
A mathematical bug shows us why the 3D universe carries the possibility of despair. Really. For N bug-steps, there are two things to consider: how many total possible paths of N steps the bug has available to it, and how many of those N-step paths lead home. For example, let's look at 1D. After just 2 steps (N=2), where the bug could only go left or right each step, the bug has had 4 possible paths available to it: LR - Home RL - Home Of those, 2 lead home, giving it a home-probability of 50% after 2 steps. Now let's look at 4 steps (still in 1D). LLRR - Home LRLL - Home (earlier) LRLR - Home (twice) LRRL - Home (twice) LRRR - Home (earlier) RLLL - Home (earlier) RLLR - Home (twice) RLRL - Home (twice) RLRR - Home (earlier) RRLL - Home Out of 16 possible 4-step paths, 10 of them led back home. Now let's look at 2D, where the bug has 4 choices each step: up, down, left, or right. 4 steps leaves the bug with 256 possible paths, 84 of which lead home at either 2 or 4 steps. That's why the bug isn't guaranteed to make it back in 3D.
Color Theory Tutorial by Worqx Why study color theory? If you are involved in the creation or design of visual documents, an understanding of color will help when incorporating it into your own designs. Choices regarding color often seem rather mystical, as many seem to base decisions on nothing other than "it looks right." Although often told I had an eye for color, the reason why some colors worked together while others did not always intrigued me and I found the study of color theory fascinating. While attending the University of Minnesota I enrolled in almost every course I could from different departments: graphic design, interior design, and fine arts. During my studies, I learned that there were 2 main reasons why scholars investigated color—the first involved the communication of colors; the other involved the application of color. Communicating Color What is red? HTML Red Pantone® Red Pantone® Warm Red TRUEMATCH® 6-a Color Application The next several pages of this site offer a tutorial regarding color theory.
Uncovering Da Vinci's Rule of the Trees As trees shed their foliage this fall, they reveal a mysterious, nearly universal growth pattern first observed by Leonardo da Vinci 500 years ago: a simple yet startling relationship that always holds between the size of a tree's trunk and sizes of its branches. A new paper has reignited the debate over why trees grow this way, asserting that they may be protecting themselves from wind damage. "Leonardo's rule is an amazing thing," said Kate McCulloh of Oregon State University, a scientist specializing in plant physiology. "Until recently, people really haven't tested it." Da Vinci wrote in his notebook that "all the branches of a tree at every stage of its height when put together are equal in thickness to the trunk." To investigate why this rule may exist, physicist Christophe Eloy, from the University of Provence in France, designed trees with intricate branching patterns on a computer. Once the skeleton was completed, Eloy put it to the test in a virtual wind tunnel.
10 Tips for Designing Presentations That Don’t Suck: Pt.1 Powerpoint has produced more bad design in its day that perhaps any other digital tool in history with the possible exception of Microsoft paint. In this post we’re going to address the epidemic of bad presentation design with ten super practical tips for designer better looking and more professional presentations. Along the way we’ll see a number of awesome slide designs from Note & Point along with some custom examples built by yours truly. Let’s get started! Also be sure to check out 10 Tips for Designing Presentations That Don’t Suck: Pt.2! Not a Designer? Most of the content on this site is targeted specifically towards professional designers and developers, or at the very least those interested in getting started in this field. You’ve chosen a visual tool to communicate and should therefore take the time to learn a thing or two about visual communications. Follow the ten tips below and see if you don’t start getting comments about your awesome presentation design skills. Kuler Piknik
The nature of nothingness Zilch… Naught… Nada… It’s easy to dismiss the concept of nothing as, well, nothing. In fact, nothing is everything to science – understanding the intangible voids has lead to breakthroughs we could never have imagined possible. Read on to find out why nothing is more important than nothing… Nothingness: Zero, the number they tried to ban Every schoolchild knows the concept of zero – so why did it take so long to catch on? Follow its convoluted path from heresy to common sense Read more: "The nature of nothingness" I USED to have seven goats. This is not a trick question. This is a tangled story of two zeroes: zero as a symbol to represent nothing, and zero as a number that can be used in calculations and has its own mathematical properties. Zero the symbol was in fact the first of the two to pop up by a long chalk. It is through such machinations that the string of digits "2012" comes to have the properties of a number with the value equal to 2 × 103 + 0 × 102 + 1 × 101 + 2.
50 Totally Free Lessons in Graphic Design Theory 1,200+ courses and ebooks Design, code, video editing, business, and much more. Adobe Photoshop, Illustrator and InDesignGraphic, Logo and Print DesignSketch, Adobe XD & FigmaWordPressJavascript, PHP & PythonAdobe After Effects & Premiere ProMuch More Millions of creative assets Design templates, stock videos, photos & audio, and much more. Graphic TemplatesStock PhotosMusic TracksVideo TemplatesWeb TemplatesDesign AssetsWordpress Themes & PluginsMuch More 1,200+ courses and ebooks Design, code, video editing, business, and much more. Adobe Photoshop, Illustrator and InDesignGraphic, Logo and Print DesignSketch, Adobe XD & FigmaWordPressJavascript, PHP & PythonAdobe After Effects & Premiere ProMuch More Millions of creative assets Design templates, stock videos, photos & audio, and much more. Graphic TemplatesStock PhotosMusic TracksVideo TemplatesWeb TemplatesDesign AssetsWordpress Themes & PluginsMuch More