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Rubik Cube

Rubik's Cube - Magic Cube

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Brief History Of The Rubik's Cube
(All photos by Georges Helm )
Every invention has an official birth date. For the Cube this date is 1974 when the first working prototype came into being and a patent application was drafted. The place was Budapest, the capital of Hungary. The inventor's name is now a household word. At the time, Erno Rubik was a lecturer in the Department of Interior Design at the Academy of Applied Arts and Crafts in Budapest.
Although 1974 marks the inauguration of the Cube, the processes that led to the invention began a few years earlier, nor was the identity of the inventor a fortuitous accident. Erno Rubik had a passionate interest in geometry, in the study of 3D forms, in construction and in exploring the hidden possibilities of combinations of forms and material in theory and in practice.
In the course of his teaching, Erno Rubik preferred to communicate his ideas by the use of actual models, made from paper, cardboard, wood or plastic, challenging his students to experiment by manipulating clearly constructed and easily interpreted forms. It was the realization that even the simplest elements, cleverly duplicated and manipulated, yield an abundance of multiple forms that was the first step on the long road that led finally to the Cube. Erno had applied for a Hungarian patent for the Magic Cube in 1975, the first test batches were notproduced until late 1977.
Although possibly the most original of all invented puzzles, the Cube was not created in a vacuum. Its classical antecedents are great puzzles in their own right. The Tangram, originating from ancient China, merely consists of 5 triangles, a square and a parallelogram, simple elements that yield a multitude of interesting figures. The Pentomino, invented by Solomon W Golomb, has 12 different elements, each one made up of five squares joined together, displaying all the possible configurations of the five combined squares. Pentomino poses the fascinating geometric problem of constructing various rectangles. Piet Hein's Soma Cube is, in a sense, a three dimensional version of Pentominos. It resembles Rubik's Cube both in shape and in the large number of ways its seven elements can be assembled into a 3x3x3 cube. Finally, there is Sam Loyd's well known 15 puzzle, with it's numbered tiles locked together yet moving separately, so that by pushing them about they can be set in sequential order and scrambled at will. Viewing these puzzles places Rubik's Cube in a context and highlights just what a breakthrough creation the Cube really is.
What Erno Rubik's set out to do was create a three dimensional object, of high aesthetic value, which was not only richer in configuration variations and more of a mental challenge than any puzzle in existence, but would also continue to be one, "self-contained whole", throughout its manifold transformations.
This objective seemed at first as impossible to achieve as the 3-axial rotation of the Cube appears on first encounter. After conceiving the idea of the 3x3x3 Cube, Erno Rubik first tried to hold together the elements of a simpler, 2x2x2 cube, by means of an elastic rubber construction that threaded its way through all 8 elements. Even at this simple level it soon became clear that such a device could not work. The alternatives then available, such as magnets and the obvious tongue and grooves system, could not cope with the complexity of the different junctions and movements that each element required. Erno Rubik realized that only a totally original concept could provide a satisfactory solution.
The inspiration came on a lazy, summer day as he was watching the Danube flow by. Rubik's eye was attracted by some pebbles, whose sharp edges have been rubbed and smoothed away in the course of time bringing into being rounded shapes of great but simple beauty. The interior of the Cube elements had to have the same rounded architecture. The brilliant interior mechanism, which is basically cylindrical, took some time to reach its final form. For ease of manipulation, the balance between tightness and looseness had to be just right, tolerances had to be exact. Finally, the 54 outer surfaces of the individual elements were given their colors. Lots of different decorative patterns, with numbers and symbols as well as diverse color combinations were tried, but none of them worked nearly as well as the six simple but distinct colors, each one unifying and differentiating one single face of the Cube.
When the Cube was complete, Erno Rubik demonstrated it to his students and let some of his friends play with it. The effect was instantaneous. Once somebody laid his hands on the Cube it was difficult to get it back!
The compulsive interest of friends and students in the Cube caught its creator completely by surprise and it was months before any thought was given to the possibility of producing it on an industrial scale.
Eventually a manufacturer took on the job of tooling up for mass production and making the puzzle available to the public at large. Given the inner complexity of the Cube, and the then prevailing economic conditions in communist Hungary, this was by no means an easy undertaking. It is to the credit of the two men at the helm of the toy production firm of Politechnika, President Lehel Takacz and Chief Engineer Ferencz Manczur that they at once perceived enough merit in the Cube to accept this task. The process of turning the hand made object into thousands of low cost, mass manufactured units was slow. It took the best part of three years, but at last, towards the end of 1977 the first Cubes appeared on the shelves of the Budapest toyshops.
During 1978, without any promotion or publicity, the Cube began very slowly to make its way through the hands of fascinated youths into homes, playgrounds and schools. Word of mouth spread the news and by the beginning of 1979. There was growing interest in the Magic Cube throughout Hungary. Some Western World academics were also most interested in it. In September, a deal was signed with Ideal Toys to bring the Magic Cube to the West.
With the country being both physically and culturally behind the iron curtain at the time, the growing popularity of the Cube did not cross over to the West for quite some time. Not surprisingly, two men of Hungarian origin who had established their lives in the West built the bridge, which eventually enabled the Cube to cross the divide.
Dr Tibor Laczi, born in Budapest, educated in Vienna and employed by a major German computer manufacturer "discovered" the Cube on one of his frequent business trips to Hungary. He fell in love with it, and sensing its potential consumer appeal, brought it to the Nuremberg Toy Fair in February 1979 in the hope of finding a potential German toy distributor. He did not meet with a great deal of success but he did stumble across an individual who at that point of the Cube's history was destined to make a crucial difference.
Tom Kremer, a successful toy and game inventor himself, whose mother language was also Hungarian, ran at the time his own marketing and licensing company. Seven Towns Ltd., based in London, was widely respected throughout the international toy industry as a product developer working not only with its own ideas but also representing professional inventors from all over the world.
The two men made a pact, there and then, to translate the Hungarian success of the Cube onto the world stage. Dr Ladzi headed back to Hungary to pave the way with the prevailing Hungarian bureaucracy whilst Tom Kremer set off on a world tour of toy manufacturers. He was convinced that to realize the Cube's full commercial potential it had to have the marketing muscle, the promotional power and distribution network of a major international company. Unfortunately he found none of the leading players in the field shared his enthusiasm. Although impressed by the Cube, the general view within the industry estimated its prospects to be poor. Its "faults" were numerous: too difficult and expensive to manufacture, impossible to demonstrate its fascination on TV, too abstract, too cerebral, too quiet, a challenge for the esoteric academic mind rather than a puzzle meant for the young and the general public.
Undeterred by this universal rejection, and spurred on by his firm belief in the exceptional quality of the toy, Tom Kremer, now armed with a convincing marketing plan, continued his search for a viable partner. After many disappointments, he succeeded in persuading Stewart Sims, Vice President of Marketing of the Ideal Toy Corporation, to come to Hungary, to see with his own eyes the Cube in play. It was now September 1979, by which time the Cube had gained a sufficient degree of popularity to be seen occasionally in the street, on trams, in cafes, each time in the hands of someone turning and twisting it, completely absorbed. After five days of convoluted negotiations between a skeptical American capitalist and an obstinate communist organization largely ignorant of the operation of a free market, with Laczi and Kremer desperately holding the two sides together, an order for one million cubes was signed amidst much handshaking and great relief all round.
In the meanwhile, quite independently of these developments, David Singmaster, an English mathematician, became deeply interested in the theoretical problems and ramifications raised by the Cube in his own field. He wrote a newspaper article in June 1979, the first one to appear outside Hungary, which brought the Cube to the attention of academic circles world wide and led indirectly to another milestone in its history: an article in Scientific American, with a cover picture, by Douglas Hotstadter an acknowledged authority in the field of Recreational Mathematics.
Apart from a small seepage across the Hungarian borders, the Cube made its international debut at the Toy Fairs of London, Paris, Nuremberg and New York in January/February 1980. With Erno Rubik demonstrating his own creation, the Cube made an immediate impact. The trade buyers were impressed, orders rolled in. There was just one problem: there were no Cubes! Western quality standards and packaging norms meant drastic changes in the Hungarian manufacturing process. This, as with any change under a communist in regime, was slow in coming. Communication between New York and Budapest, given the linguistic and cultural differences, despite the frequent interventions of Tom Kremer, were not easy. The new Cube was easier to manipulate. Ideal Toys renamed it Rubik's Cube. The first Rubik's Cubes were exported from Hungary in May 1980.
Erno Rubik has not changed much over the years. Working closely with Seven Towns, he is still deeply engaged in creating new games and puzzles, and remains one of the principal beneficiaries of what proved to be a spectacularly successful invention.
(All photos by Georges Helm )

External Links:

Rubik's Official Online Site

Speedcubing

World Cube Association

Rubik's Cube By Georges Helm

Top World Link

Yahoo Groups:

Speed Solving Rubik's Cube Group

Rubik's Cube The Petrus Method

Italian Rubik's Cube

My Interests

Did You Know? Great Cube Fact!

In 1980, Ideal Toys considered renaming the Magic Cube "The Gordian Knot"! Then somebody suggested "Rubik's Cube" and the rest is history!

Hungarian actress Zsa Zsa Gabor was chosen to host the Rubik's Cube's launch in America, beginning with a Hollywood party on 5th of May 1980.

Over 100 million Rubik's Cubes were sold in the period 1980-1982.

The ultimate collectable of 1981 in Britain was a Rubik's Cube showing Prince Charles and Lady Diana Spencer.

One of the youngest Cube solvers ever back in 1981 was seven year old Lars-Erik Anderson of Norway. He often did the Cube, but could not explain how!

G. L. Honaker, Jr., discovered that the number of different unsolved configurations that can be reached on the original Rubik's Cube is a prime number!

A man who made a fortune by solving the riddle of Rubik's cube invented a test kit to detect where the millennium computer bug would strike. At the age of 12, Patrick Bossert shot to fame when he worked out his own solution to the mystifying Rubik's Cube and wrote a bestseller about it that sold 1.5 million copies.

"Rubik, The Amazing Cube" TV show premiered on ABC: September 10, 1983-September 1, 1984. The 12 episode Saturday morning series ran for 1 year. Originally broadcast in color as "The Pac-Man/Rubik, Amazing Cube Hour" each Rubik segment lasted 22 minutes. The storyline featured a young boy named Carlos who discovers the cube and brings it to life by aligning its coloured sides. Solving the cube sends him, his brother Renaldo and sister Lisa off on a magical adventure. The series was rebroadcast in the spring of 1985 as a mid-season replacement. Ruby-Spears Enterprises produced the series.

Lloyd Allison used Rubik's Snakes to digitally model protein folding. He writes: "The snake can be packed in a ball as a "globular" protein and can form "helices" and "extended" conformations."

Erno Rubik's fiendishly complex cube has been called a lot of names, among them: the Hungarian Cube, Rubik's Cube, Magic Cube, The Cube, Rubik Cube, Il Cubo di Rubik (Italian), Il Cubo Magico (Italian), etc.

A recent market survey by Oddzon in the US has shown that over 85% of the population is aware of the Rubik name and shows a clear recognition of the Cube.

"Easiest color to solve on a Rubik's Cube? black. Simply remove all the little colored stickers on the cube, and each side of the cube will now be the original color of the plastic underneath black. According to the instructions, this means the puzzle is solved." Steve Rubenstein

When Richard Pavelle's cube fell into a swimming pool he solved it underwater, with five gulps of air.

The Cube (3x3) has 43,252,003,274,489,856,000 different possible configurations. One, and only one, of these possibilities presents the "solved" Cube, having a single color on each of its 6 sides. If you allow one second for each turn, it would take you 1400 million million years to go through "all" the possible configurations. In comparison, the whole universe is only 14 thousand million years old.

The World Rubik Cube championship was held in Budapest on June 5, 1982. Nineteen National Champions took part. Minh Thai, the US Champion, won by solving the Cube in of 22.95 seconds. The world record, in competitive conditions, grew progressively lower and now stands at 9.86 seconds by Thibaut Jacquinot (Spanish Open 2007).

"Rubik Cube" has become part and parcel of the English language and attained official status by having its own entry in the Oxford English Dictionary.

By 1982, sales rose to such unprecedented levels that in the West, according to some calculations, one in every three households possessed at least one Rubik's Cube.

The compelling quality of the Cube was such that two brand new medical conditions became rife among the more serious addicts, known as the Cubist's thumb and Rubik's wrist.

Andras Mezey, one of the leading Hungarian authors of this generation, wrote a highly successful musical play entirely devoted to the Cube. The play, incidentally critical of the Communist regime, ran for three consecutive seasons in a large Budapest theatre.

The Cube's international fame and the export achievement became one of the contributing factors in the reform and liberalization of the Hungarian economy between 1981 and 1985 which finally led to the move from Communism to Capitalism.

The Massachusetts Institute of Technology established a regular series of "Cube-ins" for its staff and students to explore the various mathematical ramifications created by Rubik's Cube.

Frau Schmidt of Dusseldorf in Germany, sued her husband for divorce in 1981 citing the Cube as correspondent. She complained: "Gundar no longer speaks to me and when he comes to bed he is too exhausted from playing with his Cube to even give me a cuddle".

A football game in Connecticut was delayed when one player, Bob Blake, failed to take the field. He was found in the locker room playing with the Cube.

At the Edinburgh Conference of European leaders in 1992, John Major, the British Premier, used Rubik's Cube to explain to his TV audience the virtually insoluble complexities of the Maastricht Treaty.

"Cubaholics Anonymous" a voluntary organization to help Cube addicts kick the habit was founded in 1980 by Augustus Judd, a self-confessed Cubomaniac.

Apart from the hundreds of Cubes with different surface decoration, over 60 self-contained, 3D puzzles with various geometries and moving parts, came to market between 1981 and 1984. All of them derived fundamentally from the original Rubik's Cube. No other single toy had anywhere near the kind of impact on the Toy Industry, ever.

Scientist Solves Rubik's Cube in 26 moves! The least number of moves required in unscrambling the Cube from the worst disorder, the shortest route, is often called "God's Algorithm"!
In May 1997, U.C.L.A. computer science Professor Richard Korf announced that he had found the first optimal solutions to Rubik's Cube. His research showed that the median optimal solution was 18 moves, and he believed any cube could be solved in no more than 20 moves. However, he was unable to prove this, and no one has ever been able to prove that it could be solved in less than 27 moves.
"Korf had written a program that spends a long time to find optimal solutions for single states of the Rubik's cube", says Kunkle. "Our program first does a large pre-computation and then it very quickly - in about a second - finds a solution in 26 moves or less for any state of Rubik's cube.

General Solutions

Many general solutions for the Rubik's Cube have been discovered independently. The most popular method was developed by David Singmaster and published in the book Notes on Rubik's Magic Cube in 1980/81. This solution involves solving the Cube layer by layer, in which one layer, designated the top, is solved first, followed by the middle layer, and then the final and bottom layer. Other general solutions include "corners first" methods or combinations of several other methods.

Speedcubing Solutions

Speedcubing solutions have been developed for solving the Rubik's Cube as quickly as possible. The most common speedcubing solution was developed by Jessica Fridrich. It is a very efficient layer-by-layer method that requires a large number of algorithms, especially for orienting and permuting the last layer. The first layer corners and second layer are done simultaneously, with each corner paired up with a second-layer edge piece. Another well-known method was developed by Lars Petrus. In this method, a 2×2×2 section is solved first, followed by a 2x2x3, and then the incorrect edges are solved using a 3 move algorithm, which eliminates the need for a 32 move algorithm later. One of the advantages of this method is that it tends to give solutions in fewer moves. For this reason the method is also popular for fewest move competitions.

Considerations On The Solutions

Solutions typically follow a series of steps, and include a set of algorithms for solving each step. An algorithm, also known as a process or an operator, is a series of twists that accomplishes a particular goal. For instance, one algorithm might switch the locations of three corner pieces, while leaving the rest of the pieces in place. Basic solutions require learning as few as 4 or 5 algorithms but are generally inefficient, needing around 100 twists on average to solve an entire cube. In comparison, Fridrich's advanced solution requires learning 53+ algorithms, but allows the cube to be solved in only 55 moves on average. A different kind of solution developed by Ryan Heise uses no algorithms but rather teaches a set of underlying principles that can be used to solve in fewer than 40 moves. A number of complete solutions can also be found in any of the books listed in the bibliography, and most can be used to solve any Cube in under five minutes.

I'd like to meet:


Erno Rubik

Books:

David Singmaster Notes on Rubik's Magic Cube (Enslow 1980/81)

Don Taylor, Andrena Millen Mastering Rubik's Cube: The Solution to the 20th Century's Most Amazing Puzzle (Paperback 1981)

Andre' Warusfel Il cubo di Rubik (Mondadori 1981)

James G. Nourse The Simple Solution to Rubik's Cube (Paperback 1981)

David Singmaster, Alexander Frey Handbook of Cubik Math (Enslow 1982)

Jeffrey Varasano Conquer The Cube In 45 Seconds (Hardcover 1982)

Ken Lawless Dissolving Rubik's Cube: The Ultimate Solution! (Hardcover 1982)

Jack Eidswick Rubik's Cube Made Easy (Paperback 1982)

Christoph Bandelow Inside Rubik's Cube and Beyond (Birkhauser Boston 1982)

David Singmaster How to solve Rubik's magic (Felden 1986)

Erno Rubik, Tamas Varga, Gerzson Keri, Gyorgy Marx, Tamas Vekerdy Rubik's Cubic Compendium (Oxford University Press 1987)

Annie Gottlieb, Slobodan D. Pesic The Cube: Keep the Secret (Paperback 1995)

Hana M. Bizek Mathematics of the Rubik's Cube Design (Paperback 1997)

David Joyner Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys (Hardcover 2002)

Karen Peebles How to Solve the Rubik's Cube with Ease (Spiral-bound 2007)

Puzzler's Choice A New Solution to That Damned Rubik's Cube (Paperback 2007)

Karen Peebles Crack It! The Rubik's Cube Solution (Paperback 2007)

Heroes:

Erno Rubik