In other words, there’s a chain of dominations. But that’s not the end of it: (4,4) is dominated by (4,5) but dominates (3,4), which in its turn dominates (2,4). Whatever individual number is in (4,5) must be greater than whatever individual number is in (4,4).Ĭonversely, you can say that (4,4) is dominated by (4,5). If we label squares by row and column, you can say that square (4,5), just above the lower righthand corner, dominates square (4,4), because (4,5) is on the dominant side of the inequality sign between the two squares ( futōshiki, 不等式, means “inequality” in Japanese). There are no numbers at all in the futoshiki, so where do you start? Well, first let’s establish some vocabulary for discussing futoshiki. You work out what those missing numbers are by using the inequality signs scattered over the futoshiki. At first, most or all of the numbers are missing. It’s a number-puzzle where you use logic to re-create a 5×5 square in which every row and column contains the numbers 1 to 5. I’m calling it a fylfy fractal:ĭivide-and-discard fractals in the four triangles of a divided square stage #1įinally, you can adjust the fylfy fractals so that each point in the square becomes the equivalent point in a circle:įutoshiki is fun. The resulting four-fractal shape is variously called a swastika, a gammadion, a cross cramponnée, a Hakenkreuz and a fylfot. Now try dividing a square into four right triangles, then turning each of the four triangles into a divide-and-discard fractal. You can create more attractive and interesting fractals by rotating the sub-triangles clockwise or anticlockwise. ![]() Alas, it’s not a very attractive or interesting fractal: If you divide and discard one of the sub-copies, then carry on dividing-and-discarding with the sub-copies and sub-sub-copies and sub-sub-sub-copies, you get the fractal seen below. Here it is as a rep-4 rep-tile, tiled with four smaller copies of itself: Hexagon fractal, triangular to circular (animated)Īn equilateral triangle is a rep-tile, because it can be tiled completely with smaller copies of itself. ![]() Grid fractal, triangular to circular (animated) Here’s what I call a rep9-tri grid fractal: You can create other fractals by dividing-and-discarding sub-triangles from a rep-9 equilaterial triangle. When you’ve reduced the diamonds to dust, you’ve got a fractal, a shape that repeats itself at smaller and smaller scales:Īfter that, you can convert the fractal-within-a-triangle into a fractal-within-a-circle:ĭiamond fractal, triangular to circular (animated) Now do the same to the remaining six: divide each into nine sub-triangles and discard three of the sub-triangles. Six sub-triangles left after three are discardedīut why stop there? Once you’ve discarded three triangles, six triangles are left. Then you discard three of the sub-triangles, like this:Įquilateral triangle divided into nine sub-triangles First, you divide an equilateral triangle into nine smaller equilateral triangles. But if you look at the Mitsubishi diamonds with a mathematical eye, you can see how to create them in two simple steps. Those are the three diamonds of Mitsubishi, whose name itself means “three diamonds” or “three rhombi” in Japanese (see 三菱). It’s one of the most famous and easily recognizable logos in the world: ![]() Triangular fractal to circular fractal (animated) But they get more obvious like this:Īnd when you have a fractal created using an equilateral triangle, it’s easy to expand the fractal into a circle, like this: ![]() Here are variant colorings of the stage-3 tiled triangle:īut where are the fractals? In one way, you’ve already seen them. (please open in new window if image is distorted)Įquilateral triangle tiled with 1-√3-2 triangles (stage 2)Įquilateral triangle tiled with 1-√3-2 triangles (stage 3) And it’s easy to find that space when you realize that a standard equilateral triangle can be divided into six 1-√3-2 triangles:Įquilateral triangle divided into six 1-√3-2 trianglesĮquilateral triangle tiled with 1-√3-2 triangles (stage 1) Once you’ve got a rep-tile, you can create fractals. And if it’s rep3, that is, can be divided into three identical copies of itself, then it’s also rep9, rep27, and so on: The horizontal side, b, has a length of √3 = 1.73205080757… So the right triangle is 1-√3-2. If the vertical side, a, is 1, then the hypotenuse, c, is 2, because the length that fits once into a fits twice into c. Now you can prove the exact values of a, b, and c. You might be able to guess by eye, but could you prove your guess? Now try the same right triangle tiled with three identical copies of itself: But what are the exact values of a, b, and c? Here’s a right triangle, where a^2 + b^2 = c^2.
0 Comments
![]() They both have all the advantages we’ve already mentioned above, plus the durable surface. Now that you know how it works, it’s just a matter of choosing between a butcher’s block cart or a traditional kitchen island. Make sure to keep the block well-oiled, and it will serve as a loyal friend in your kitchen. They’re also made to last, so they’ll endure most hardships that a home chef might put them through. It’s a robust piece of wood, made for heavy-duty chopping. Bang away at a butcher’s block countertopīutcher blocks have been used by butchers for centuries. ![]() That’ll give the unit a clean look and the chairs will take up less space. Make sure to pick the right size stools so that they can be tucked under the island top. Add baskets to the shelves for a neater look with a better overview.Īnd since you can play around with bar stools, why not go all-in? Dare to make a statement with your stools, and your kitchen island will be the social center of attention. With shelves beneath the tabletop, you’ll be able to hide much of your storage: from plates and cutlery to pots and pans. Since it’s usually a larger unit, it can offer both storage and prep space, as well as an integrated dining area. Kitchen island units – love at first sightĪ kitchen island is a great way to combine everything you need in your kitchen. That way, you can move around more freely without risking bumping into sharp edges. What about treating yourself to a cart with a butcher’s block countertop to bring some pro-chef quality to your kitchen? Bonus tip: kitchen carts with curved ends will create a better flow around your unit. On the other hand, if you’re looking to add some workspace, you should get one with a tabletop as well. It’s a great place to keep everything from spices to steak knives. Get a cart with just the shelves if storage is your primary focus. Why not create a mini island using a utility cart? It’ll serve as a practical, space efficient feature in your kitchen, especially since you can move it around as you please. If you’re operating your way around a smaller kitchen, you might need some extra workspace or storage. Maybe you’re looking to add some extra workspace or storage? Or you want a nice unit for family and friends to gather around? No problem, there’s something here for everyone. We have a variety of options to make sure you can find whatever suits your needs. Prepping, cutting, cooking, storing, and even dining has never been easier. It offers a vast area of use and will act as your new multifunctional best friend. In a small space or an open-plan design, the perfect kitchen island will do wonders for any home chef. Just you, yourself, and your butcher’s block ready to tackle your next tasty masterpiece. With lots of room to move around and do your thing. But when it comes to kitchen islands, that’s exactly what you want to be: stand-alone. ![]() Sure, that probably had nothing to do with stand-alone kitchen units. No man is an island, said English poet John Donne. Kitchen carts and islands are your best kitchen friends We will provide you with a cost if this case arrises. You may be required to pay labour, assessment or freight costs, such as where goods are assessed to have been damaged by misuse or accident, or where the goods are assessed not to be faulty. This time may vary due to reasons beyond our or the manufacturer's control, such as parts availability and incorrect fault advice given. You will be provided with a repair time after the item is assessed. Products returned under warranty will be assessed and/or repaired within a reasonable time period. If any goods cannot be easily returned to the Digital Cinema store, due to where you are located please contact our service staff for help with logistics 1300 859 905 This timeframe may vary from product to product and may depend on the type of product you purchased and the price you paid. Products need to be returned within a reasonable time period. This will include inspecting the products, organising for the products to be repaired, or offering you a replacement. A Digital Cinema team member will help you with any return or repair. You may also contact Digital Cinema on 1300 859 905 or visit the store where the items were collected. Returns and Repairsīefore returning any goods please contact our service team for approval and return merchandise number 1300 859 905 You will be contacted by email to explain why a refund has been issued and products not delivered.
![]() Hermione has a very feature-rich API to cover all your needs. Tests run in parallel so the waiting process is short. It opens the desired browser and performs actions defined in the test suites. Hermione.js is a “browser test runner based on mocha and wdio”. What is Hermione.js and how can it help me? Testing in Selenium may be performed in parallel, meaning less waiting time. It is open-source software, released under the Apache 2.0 license: web developers can download and use it without charge. ![]() Selenium deploys on Windows, Linux, and macOS platforms. The tests can then run against most modern web browsers. It also provides a test domain-specific language (Selenese) to write tests in a number of popular programming languages. Selenium is a portable framework for testing web applications. Regression testing is a normal part of the program development process. Regression testing is the process of testing changes to computer programs to make sure that the older programming still works with the new changes. Regression testing means testing existing software applications to make sure that a change or addition hasn’t broken any existing functionality. You may also be interested in tools such as “Pixel Perfect” but these ones force you to manually compare each section, which is definitely not going to help you in the long term.įortunately, we may automate this process! The Internet lacks resources on this but they are there and this article is going to be a summary of the most important things concerning the configuration of Hermione.js. ![]() There are tools to limit this risk such as CSS modules or Styles Components (for React JS) but these ones force you to follow their standards even if you don’t like them. We all know that CSS often breaks as all our styles live in the global namespace across the whole page. |