Rubik's Cube 7x7x7 Solution Pdf Download
Berry Spitsberg
The 7x7x7 Rubik's Cube is also known as the "V-Cube 7" in other designs. The first mass-produced 777 Rubik's Cube was invented by Panagiotis Verdes and was produced by the Greek company Verdes Innovations SA. Other such puzzles have since been introduced by a number of Chinese companies, some of which have mechanisms which improve on the original. Like the 555, the V-Cube 7 has both fixed and movable center facets.
The puzzle consists of 284 unique miniature cubes ("cubies") on the surface. Six of these (the central tiles of the six faces) are attached directly to the internal "spider" frame and are fixed in position relative to one another. Each piece (or quintet of edge pieces) shows a unique color combination, but not all combinations are present (for example, there is no piece with both red and orange sides, since red and orange are on opposite sides of the solved Rubik's Cube). The location of these cubes relative to one another can be altered by twisting the outer layers of the Cube 90, 180 or 270, but the location of the colored sides relative to one another in the completed state of the puzzle cannot be altered: it is fixed by the relative positions of the fixed center squares and the distribution of color combinations on edge and corner pieces. Currently, the V-Cube 7 is produced with white plastic as a base, with red opposite orange, blue opposite green, and yellow opposite black. The fixed black center piece is branded with the letter "V". Verdes also sells a version with black plastic and a white face, with the other colors remaining the same, solid plastic versions with the plastic the color itself and no stickers, flag variations of the 7x7x7 Rubik's Cube including Germany, Poland, Russia etc. The V-Cube 7 is noticeably rounded. This departure from a true cube shape is necessary, since the mechanism used on this puzzle would not function properly with layers of identical thickness. Other means (such as magnets) would be required. The rounded shape of the V-Cube 7 results in corner stickers that are similar in size to the center stickers, which helps hide the unequal thickness. The Rubik's Cubes from other manufacturers can be found with rounded or flat sides, but all use thicker outer layers.
However, a fixed center piece is marked with a V, which can be oriented four different ways. This increases the number of patterns by a factor of four to 7.8010160, although any orientation of this piece could be regarded as correct.
Let the faces be denoted by the letters L, R, F, B, U and D (Left, Right Front, Back, Up and Down). Clockwise quarter turns of a face layer are denoted by the appropriate letter, anti-clockwise quarter turns by the letter with an apostrophe (i.e. L', R', F', B', U' or D'). Half turns are denoted by the letter followed by a 2 (i.e. L2, R2, F2, B2, U2 or D2). The above is the same notation as for the 333 cube. An internal slice will be denoted by adding a subscript 2, 3 or 4. So F2 is a clockwise turn of the slice immediately behind the Front face, and F3' is an anti-clockwise turn of the slice immediately behind that. Note that these denote a slice only, so such a move will not disturb the corners of the cube. The location of any piece can be denoted by listing the three faces/slices it lies in.
The text on this page has been created from some sort of historical reasons. That is, the tutorials for the 4x4x4 and 5x5x5 Rubik's cube have been written at first. Any method, through which we can solve a 4x4x4 cube, may be used (after making certain adjustments) for a solving of even bigger cubes (in terms of a greater number of layers).
Two things brought me to that conclusion - first, it would be enormously time-consuming (I can not imagine that I would make a tutorial for e.g. the 20x20x20 Rubik's cube using simulators) and second, it would be quite useless - a method principle remains the same and only certain layers are being changed when executing moves.
From a personal experience I know what it's like when you mess up a so-called OLL parity algorithm on a 20x20x20 cube. The result is a scrambled cube and eyes full of tears. Therefore, instead of reduction solving technique, I will recommend the Cage method for a solving of "bigger" cubes. It avoids parity problems as known from e.g. a 4x4x4 Rubik's cube.
On that linked page there is explained only a solving procedure for a 4x4x4 cube, nevertheless, it can be adapted to any other NxNxN cube. It is practical to somehow optimize the method on a bigger cubes, for example by solving of pieces of last 4 composite edges (i.e. the edges from a 3x3x3 cube point of view) in multiple layers at once, or by making some kind of "cleaning process" leading to faster solving of center pieces in the final phase of a solution. After all, a modification of the Cage method has been used even at solving of the 150x150x150 Rubik's cube (scroll down to the end of the linked page).
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It all started 14 years ago when I was on the train on my way towards my first lecture of law school. My friend took a Rubik's Cube out of his backpack and I remember thinking "how old are you? Isn't that a children's toy?". But after a couple of minutes of playing with it, he solved the cube. From that moment on I was determined: I am going to be able to solve a Rubik's Cube. If he can do it, I can do it. I spent an entire night researching tutorials on the internet. Some of those were written in such complicated language that you basically had to be a mathematician to be able to understand it. Once I figured out the general process of solving the cube, I started to write down the algorithms from different tutorials and combined them in one document that I understood. After that it was just a matter of memorizing the algorithms. Practice makes perfect, so it didn't take long before I was getting faster at it. In the end of 2006 I registered for the Rubik's Cube Dutch Open. I remember being quite nervous, because the line-up of players consisted of several Dutch pro cubers (yes, that's a thing) with several world records to their name. I didn't go there hoping or expecting to win, but I just wanted to see how I would compare to other cubers. Of the 32 contenders I ended up in 13th place with a personal record of 43.42 seconds for the standard 3x3x3 Rubik's Cube. I even got this nice little award for my efforts:
In 2018, I backed a Kickstarted project for a smart cube called GoCube. Being a bit of a gadget freak and a cuber, I just had to have a cube that connects to your phone, can teach you how to solve it, monitor your times and even play other cubers live online. I improved my personal record using this cube to 35.316 seconds.
I seem unable to teach myself the fast finger snapping moves those speedcubers use to turn the cube. I gave up on that idea. But that does not mean that there is no more challenge for me to improve my cubing skills. By studying the algorithms I am using, I am starting to predict what the next step will be.
You might be thinking by now: "did he really just write an entire article on solving a puzzle to show us how smart he is?". To be honest, I am pretty proud of the fact that I am able to solve these puzzles and I don't mind showing it off. It always gets a conversation started and people have jokingly called it my party trick. But that is not the reason why I wrote this article.
The implementation of a new ERP-System has a huge impact on an organization. Which modules are we going to implement? How many users are going to be using the system? etcetera! A detailed project plan is key to a successful implementation. Therefore, CSB-System always starts with a detailed concept (or call it Blueprint) describing the intended solution.
The white cross represents your Master Data. What we at CSB-System call the "Integration Elements" are the foundation of how the system will work once fully implemented. Bad decisions in this phase, will result in colors not aligning in later stages.
When your project plan is done, and you have decided how you want to setup your Master Data, it's time to get your hands dirty. The actual input of Master Data is a lot of work. Sure, there are ways to import data from an old system, but I am a fan of manually doing the work yourself. That way you have a unique opportunity to clean up your database and have the bonus benefit that you really learn how to use the system. How is that like solving the cube? The algorithms to put a cornerstone in the correct place are pretty simple. If I show it to you once or twice, you'll be able to do it yourself. But if you don't do it often enough by yourself, you'll forget that simple algorithm and you'll need to ask for the help from a consultant.
Completing the middle layer is where it becomes tricky and difficult. The algorithms are longer and more complex and it is impossible to finish the last layer unless the middle layer is solved correctly.
Completing this layer represents setting up the parameters and processes within the ERP-System. People with experience in implementing a new ERP-System know that there are endless possibilities on how you can set your parameters, how that affects the setup of processes and therefore the usability of the system as a whole.
There are many quotes about preparation, but this one by Benjamin Franklin seemed suiting to me. Preparing a Go-Live of the ERP-System requires a lot of work. This process mainly consists of training of the Key-User and End-User, but mostly of comprehensive testing. Test plans are made by the project managers and only after successfully completing the test plans, a Go-Live can be considered.
A Go-Live moment is picked for several reasons. It could be that your CFO wants to start the new fiscal year or period in the new system, or that your new customers requires EDI capability. In any circumstance, when you go live, every person is where he needs to be. All Key-Users are in their department, overlooking that the ERP-System is correctly supporting their processes.
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