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Rubik's Cubegamefort

The humble Rubik’s cube can teach us something profound about the world.

Since its invention in 1974, the cube has created a passionate following. We enthusiasts even have a name: “Cubists”. Once you know the secret, solving a Rubik’s cube is very relaxing and satisfying. It’s like a mental massage for people on the OCD spectrum.

I am new here Creating an account has many benefits: check out faster, keep more than one address, track orders and a lot more! The Rubik’s cube has stolen every bit of downtime we could offer, whether it was morning bus rides to school, on the commode, or sneakily trying to solve it under the dinner table. We love this generation-defying brain teaser and the thought of beating our best friends in a head-to-head, fastest-takes-all battle.

But besides being a hobby, the cube can serve as a tool for philosophy – like anything else, once you begin to understand its underlying abstract principles. The Rubik’s cube can teach us about logic, the nature of paradoxes, and even the differences between rationalism and empiricism.

From the Foundations

To learn from the cube, we have to dive into the world of abstractions, and we must start at the very beginning. What is a Rubik’s cube? Simple: it’s a puzzle. It’s an assortment of pieces that are out-of-order, and the human mind’s job is to put them into order.

A scrambled Rubik’s cube appears to be in a state of patternless, senseless disorder.

A solved Rubik’s cube makes ordered sense. Each unique color is isolated to its own side.

The human mind, as I’ve written about before, is the tool which turns the former into the latter. This pattern is not unique to the Rubik’s cube; it’s what puzzles are all about – jigsaw puzzles, Sudoku, crosswords, etc.

Entertain the first analogy: this pattern of turning senseless into sensible is similar to using language. Humans create sounds with their vocal cords, but those sounds aren’t merely sounds – in the right pattern, they become meaningful. Take this sentence, for example:

“Cat the the over jumped chair.”

In this order, this sentence is a language-fail. It doesn’t mean anything. But what if you treat it like a puzzle? Re-arrange the parts, and see what happens:

“The cat jumped over the chair.”

The exact same words in a different order. But this time, it means something. Our ears might hear the same sounds, but in this order, sensibility is brought into existence. Communication happens.

It’s like the words in this sentence are individual cubes on a Rubik’s cube. Simply twist and turn the cube – change the order of words in a sentence – and you can create something sensible. Keep this analogy in mind; it directly applies to the existence of paradoxes, and we will return to it later.

Solving Scrambles

True story: the Rubik’s cube was kind of an accident. It wasn’t created as a toy. In the 70’s, a Hungarian professor named Erno Rubik created the cube as a tool to teach students about spatial relationships. At some point, he accidentally scrambled it too much and then couldn’t get it unscrambled.

He worked on it for over a month before he figured out how to unscramble it, and then realized he had created something special. It’s now considered to be the world’s best-selling toy.

Put yourself back in the 70’s, before anybody had solved the cube. It was an open question whether or not it was even solvable by a human. The reason is because of simple mathematics: there are about 43 quintillion possible combinations for the Rubik’s cube – making it virtually impossible unscramble by chance. Erno discovered a method of sorting through the combinations; he’d solve the corner pieces first, then put the middle/edge pieces in their proper place. It worked. Since the 70’s, however, people have developed very complex and accelerated ways to solve the cube. The best “speed-cubers” are able to solve it easily under ten seconds.

Consider this question: can every possible scramble of the Rubik’s cube be solved? All 43 quintillion?

There are two answers, both equally profound: “yes” and “no”. We’ll start with “yes”.

Regardless of how long you scramble the cube, it can always be solved. It’s a logical, mathematical necessity. I know it with certainty, and you can too.

Rubik's Cube Game Puzzle

Rubik

But think for a moment about remarkable this is. How is it possible to know such a thing? Surely, “all possible combinations” have never been actually solved – the data set is too big. To what am I appealing to know with certainty that the cube can always be solved?

The answer is what I keep writing about on this website: logic. If you start with a solved Rubik’s cube, you can scramble it for the rest of your lifetime, and just before you die, I guarantee it can be solved – even though that particular scramble has likely never been solved before.

This holds true for larger cubes, too. They don’t simply make 3×3’s. They make 4x4s, 7x7s, and the current world record is a staggering 17×17 – which you can watch be solved here. But here’s the underlying truth: you could have a Rubik’s cube the size of the solar system, and I know it is solvable in theory. Even if it wouldn’t be possible to solve in practice, given the amount of work it would take to solve it, you can still know it’s solvable in principle.

This way of reasoning is analogous to “rationalism” – understanding abstract principles, and regardless of the empirical data, arriving at true conclusions. In fact, even if all your evidence points to the fact that “the cube has never been solved”, you can know still know it’s solvable. Once we understand the logic behind the cube, we simply don’t need to appeal to empirical data. Every move that can be made, can be made in reverse.

This is also why sound mathematical reasoning is so profound – it’s true, applicable to the real world, and not dependent on empirical evidence. It, too, is an extension of pure logic.

Solving Paradoxes

The Rubik’s cube is a great analogy to critical reasoning in general. Returning to our language-analogy, if you start with a sensible sentence (regardless of the length), it doesn’t matter how long you scramble the words – or how senseless the resulting combination of words appears – it can be unscrambled into something sensible.

Rubik's Cube Board Game

The same is true of our concepts. If we start with sensible concepts, it doesn’t matter how much you scramble them, hide them, obfuscate, or confuse them – if you have the patience, you can return to sensibility.

Now, as I have written about, there is a large group of people who object to this kind of sensibility. They are paradox-seekers; I call them “irrationalists”. They desperately want to find a scramble of words/concepts that is inherently contradictory. They argue that, “This scramble can never be solved! And it’s because our Reason is limited and flawed!” Then, they will often appeal to the liar’s paradox or quantum physics to prove their claims.

This is no different than the child who scrambled the Rubik’s cube for a month and concludes, “Gosh, this time it really is unsolvable! Nobody could ever make sense of what I’ve done! This cube is now beyond comprehension!”

They do not understand the nature of logic. It doesn’t matter how long you scramble; it doesn’t matter if you’re able to solve it within a lifetime; it can certainly be solved.

The philosopher’s job is to solve the puzzle – to sit down and sort through the concepts, twisting and turning the figurative cube, until things finally get cleared up and make sense again.

Paradoxical Combinations

Ah, but things aren’t quite so easy. Our analogy goes even deeper. Remember the question, “can all possible scrambles be solved?” One can accurately answer “no”. How is this possible?

If you start with an unsolvable Rubik’s cube in the first place.

Rubik’s cubes can be disassembled. Then, when they are reassembled, you can place pieces into positions that they otherwise could never get in – creating an “unsolvable scramble.” In other words, if you break the rules from the beginning and start with a tainted cube, you won’t be able to solve it.

So in actuality, the total possible combinations for a Rubik’s cube isn’t 43 quintillion. It’s around 519 quintillion – only a twelfth of which are actually solvable. Doesn’t that throw a wrench into everything I just claimed?

What if paradoxes are like an unsolvable scramble – it doesn’t matter how long you twist and turn according to your logical rules, the puzzle is inherently unsolvable. Could reality be filled with such irrational scrambles?

Not at all.

Think once more about our language analogy. We know we can unscramble the words “The cat jumped over the chair”, regardless of their combination. But, that’s only because we’re starting from a sensible sentence. What if we start with a nonsensical sentence to begin with – if we start with a broken Rubik’s cube, if you will. Take the words:

“Belonging walnut sixteen potent under.”

By George – we’ve created an unsolvable scramble! It doesn’t matter how long we twist and turn these words; we will never make sense of them. But so what? Only a fool would conclude, “Ah, this combination of words is inherently senseless; therefore reality is paradoxical!”

Unsolvable scrambles simply demonstrate that you’ve started with an error from the beginning. It’s precisely the error in the liar’s paradox.

“This sentence is false” merely appears to be sensible. As I explain here, it actually isn’t. It’s nonsense – not because reality is nonsensical, but because the sentence is flawed from the beginning.

Seeking “true paradoxes” because of sentence construction is like saying, “If we can find a nonsensical way to assemble these words/concepts, then we’ll prove reality doesn’t make sense!”

It’s a fool’s errand, to say the least. It’s not difficult to create a nonsensical string of words, and it’s not difficult to disassemble the Rubik’s cube into something unsolvable. Doing so isn’t profound; it’s irrelevant. It’s just creating gibberish; there wasn’t something sensible to begin with in the first place.

Identity and Logic

One final analogy. Right after Erno Rubik created his cube – but before it had been solved the first time – he was in an incredibly unique position. He was the only person who saw the cube ordered properly from the beginning. He could know – though nobody else could – that the cube was actually solvable, because he saw it assembled the right way.

In a sense, he knew the answer from the beginning.

And the same is possible in philosophy.

How do we know reality was assembled the right way from the beginning? Perhaps things only appear sensible, but we’ll discover that we’re living inside of some unsolvable scramble?

This is the profound understanding you gain from understanding the nature of logic. The principles of logic are necessary and inescapable; it’s not an open question whether or reality is “inherently contradictory”. They must be exactly the way they are, and they couldn’t possibly be any other way.

This is precisely why I write so much about logic. It lets you know the answer from the beginning.

The law of identity – that A is A (a thing is a thing) – is a necessary, universal truth. When you understand why, it’s exactly like seeing the Rubik’s cube in its fully solved state.

Thus, at the very beginning of any philosophic journey, one must begin with logic. It is the objective standard to which everything else appeals. It gives certain insight into the nature of all paradoxes – they are all just a matter of unscrambling language to reveal errors.

So, what appears to be a simple puzzle can be turned into a powerful tool for understanding language, paradoxes, and even the nature of reality itself.

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Solving the Rubik's Cube!

It's easy when you know how.

Introduction

Learn how to solve the Rubik's cube with easy to follow instructions and interactive demonstrations.

The Rubik's Cube can seem almost impossible when you first start playing with it. Getting the first few pieces into place is easy enough but soon you find you can't do anything without stuffing up other areas. When you know the steps, and are armed with the right algorithms it is actually quite easy. On the following pages you'll learn a simple and easy to apply set of algorithms (pre organised steps) which will solve the cube. (The Rubik's Cube is a product created by Rubik's Brand Ltd. This is merely a tutorial on how to solve it and is in no way affiliated with the company.)

Outline

This Cube tutorial is divided into 5 sections. The rest of this page introduces you to cube notation and getting to know your cube. The rest of the pages work towards solving the cube.

Keep reading below to get started or skip to one of the following sections.

  • Pattern Challengets - Just for fun, see if you can create these cube patterns (then challenge others to intuitively solve them).
  • Cheat Sheet - All of the algorithms on a single page for easy reference.
  • Cube Simulator - Useful for helping to teach how to solve the cube.

Each Step of the tutotial lists the algorithms and has detailed explanations. If you don't want to read the explanations, you are perfectly fine skipping them.

Getting to know your cube

Everyone picks up the Rubik's Cube differently. Some people will figure out manipulating the pieces fairly quickly. Others will take a little longer. With practice manipulating the pieces it will get easier and you will start to appreciate how certain moves result in certain outcomes. What at first seems like just blindly following algorithms will start to make sense and you'll start modifying the algorithms to create shortcuts.

Before we begin working on solving the cube it can be beneficial to get a feel for how the cube behaves. A good starting exercise is to work on solving just a single face of the cube. Don't worry if the squares adjoining that face don't line up correctly, just work on solving a single face. You should be able to do this intuitively (that is without using predefined algorithms). Doing this helps to build an understanding of how the pieces move around and how pieces can be put into place without affecting others. You should practice holding the cube in two hands whilst doing this and manipulating the cube with both hands. For extra challenge, see if you can solve the cube face one handed.

Pieces of the cube

There are three different types of pieces that make up your Rubiks Cube.
Corner pieces - There are 8 corner pieces. They have 3 panels and can each be in any of 3 orientations in each position.
Edge pieces - There are 12 edge pieces. They have 2 panels and can each be in any of 2 orientations.
Center pieces - There are 6 center pieces. They each have only one panel so can be in a single orientation. These pieces also identify the six faces of the cube. eg. the face with the blue center piece is the blue face.

Rubik S Cube Game For Pc

All up this makes for 26 pieces making up the cube with a total of 54 panels on those pieces. This leads to a staggering 43, 252, 003, 274, 489, 856, 000 possible combinations. Despite this large number, a group or researchers with a heap of spare computing time actually worked out the optimal solve for each of these combinations working out that the maximum required number of moves (see below) to solve any cube is 20 moves. Virtually all of these combinations required a different algorithm in order to sovle optimally and we are not going to propose you try to remember that many combinations and corresponding algorithms.

Instead we are going to introduce you to the beginner algorithms. Qr codes in literacy & arteffective curriculum ideas. They do involve more than 20 moves but they are guaranteed to solve any combination. This is the power of well thought out algorithms, they can be very flexible in what they can solve. This is also why this Rubiks cube tutorial is on a website with IT tutorials. Learning to solve the Rubiks cube is a great way to explore how we can effectively set up processes in order to take a wide range of possible inputs and reliably transform them into given outputs.

Cube Notation

Solving the cube involves following a set of algorithms. To illustrate the algorithms we will use cube notation as listed below. (There are several variations on cube notation but once you know one, adjusting to others is fairly easy.)

Each of these moves is a 90 degree turn of the relevant pieces. Each move also has a corresponding opposite move which is denoted with an apostrophe ( ' ).

U' - Turn the top (up) face counter-clockwise.
D' - Turn the bottom (down) face counter-clockwise.
R' - Turn the right face counter-clockwise.

Rubik's Cube 3d Game

L' - Turn the left face counter-clockwise.
F' - Turn the front face counter-clockwise.
B' - Turn the back face counter-clockwise.
M' - Turn the vertical slice counter-clockwise.
E' - Turn the horizontal slice counter-clockwise.
S' - Turn the top slice counter-clockwise.

Don't worry about trying to remember all of these. The images as well as a simulation will be used along with the notation when explaining the algorithms.

Often seeing the moves makes it easier to understand them so here is a cube where you can see each of the moves in action.

Now you're ready. You can dive into Step 1 - Solving the white cross, or keep reading below if you're interested.

Tips and Advice

It's not uncommon to feel a bit overwhelmed when first starting out with learning to solve the Rubik's Cube. With time and practice this will quickly subside. Here are some tips and advice to help you on your journey to cube mastery.

  • Just do a little bit each day - if you start getting frustrated, leave it for a bit and come back the next day. A bit of time can often be great for helping to clarify things.
  • Repetition is good - the first few times you go over the algorithm for a step you'll probably need to follow the tutorial. But soon you'll start to remember it and will be able to do it on your own. Repetition will build muscle memory so you no longer need to consciously think about doing that step. This will free up valuable resources in your mind to devote to working on the next step.
  • Mix it up - Solve the cube a few times all the way making use of the tutorial as a reference, then do a few just up to the step you can remember by yourself.
  • You will make mistakes and stuff up your cube many times whilst learning. If this happens don't worry, you can try and undo your moves and have another go. Frequently you won't remember what moves you actually made and will just stuff it up even more in trying to undo them. No worries, just start again. It's all good practice.
  • Experiment - The algorithms for each step focus on placing particular pieces. They will also move other pieces around the cube. When learning a new algorithm take the time to look at other pieces on your cube and how they are moved around. This will help you better understand how the algorithm works and can also lead to shortcuts.

Getting your time down

To begin with, you'll take quite a bit of time to solve the Rubik's cube. With practice it is possible to get this down well under a minute. Here are a few tips to help with this:

  • Work on making moves with your fingers rather than by twisting your wrists. This will allow you to make the moves much quicker and to string moves together in quick succession.
  • Get a speed cube (See below). These allow you to turn the pieces much easier than a standard Rubik's Cube and this will also help with getting your time down.
  • Learn the mirror images of algorithms. Most of the algorithms can be done as a mirror image and often this allows you to place a piece more efficiently.
  • Learn to perform the algorithms on faces other than the one facing you. This will reduce time spent turning the cube around to get the right face facing you and will reduce your time quite a bit.
  • Practice, practice, practice. This is by far the best way to improve and many of the above tips will start to happen naturally with practice.

Which Cube should I get?

The standard Rubik's Cube can easily become quite stiff and difficult to turn the pieces. This can disrupt your flow and make working through the algorithms need a lot more concentration. There are many Cube's by other brands on the market many of which are marketed as Speed Cubes. The Rubiks brand sells one of these also. These often have pieces with rounded edges which make for much smoother piece turning. You can get a good speed cube for very cheap also. My advice is to get one of these for a much better experience. I won't list any specific websites to buy them from. Do a Google Search and you will find many retailers selling them.