Pyraminx Puzzle - Overview and the Easiest Solution 11/17/17, 6'34 PM
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002-Contents.Pdf
CubeRoot Contents Contents Contents Purple denotes upcoming contents. 1 Preface 2 Signatures of Top Cubers in the World 3 Quotes 4 Photo Albums 5 Getting Started 5.1 Cube History 5.2 WCA Events 5.3 WCA Notation 5.4 WCA Competition Tutorial 5.5 Tips to Cubers 6 Rubik's Cube 6.1 Beginner 6.1.1 LBL Method (Layer-By-Layer) 6.1.2 Finger and Toe Tricks 6.1.3 Optimizing LBL Method 6.1.4 4LLL Algorithms 6.2 Intermediate 进阶 6.2.1 Triggers 6.2.2 How to Get Faster 6.2.3 Practice Tips 6.2.4 CN (Color Neutrality) 6.2.5 Lookahead 6.2.6 CFOP Algorithms 6.2.7 Solve Critiques 3x3 - 12.20 Ao5 6.2.8 Solve Critiques 3x3 - 13.99 Ao5 6.2.9 Cross Algorithms 6.2.10 Xcross Examples 6.2.11 F2L Algorithms 6.2.12 F2L Techniques 6.2.13 Multi-Angle F2L Algorithms 6.2.14 Non-Standard F2L Algorithms 6.2.15 OLL Algorithms, Finger Tricks and Recognition 6.2.16 PLL Algorithms and Finger Tricks 6.2.17 CP Look Ahead 6.2.18 Two-Sided PLL Recognition 6.2.19 Pre-AUF CubeRoot Contents Contents 7 Speedcubing Advice 7.1 How To Get Faster 7.2 Competition Performance 7.3 Cube Maintenance 8 Speedcubing Thoughts 8.1 Speedcubing Limit 8.2 2018 Plans, Goals and Predictions 8.3 2019 Plans, Goals and Predictions 8.4 Interviewing Feliks Zemdegs on 3.47 3x3 WR Single 9 Advanced - Last Slot and Last Layer 9.1 COLL Algorithms 9.2 CxLL Recognition 9.3 Useful OLLCP Algorithms 9.4 WV Algorithms 9.5 Easy VLS Algorithms 9.6 BLE Algorithms 9.7 Easy CLS Algorithms 9.8 Easy EOLS Algorithms 9.9 VHLS Algorithms 9.10 Easy OLS Algorithms 9.11 ZBLL Algorithms 9.12 ELL Algorithms 9.13 Useful 1LLL Algorithms -
Kurze Geschichte Des Würfels (Unknown Author)
Kurze Geschichte des Würfels (unknown author) ........................................................................................ 1 Erno Rubik .......................................................................................................................................... 1 Die Herstellung des Original-Rubik-Würfels in Ungarn ................................................................ 3 Die Rubik-Würfel-Weltmeisterschaft ............................................................................................... 6 A Rubik's Cube Chronology (Mark Longridge) .............................................................................................. 8 From five thousand to fifteen millions ....................................................................................................... 11 Toy-BUSINESS KONSUMEX .......................................................................................................................... 14 HISTORY (Nagy Olivér) ................................................................................................................................ 15 Kurze Geschichte des Würfels (unknown author) Jede Erfindung hat ein offizielles Geburtsdatum. Das Geburtsdatum des Würfels ist 1974, das Jahr, in dem der erste funktionsfähige Prototyp entstand und die erste Patentanmeldung entworfen wurde. Der Geburtsort war Budapest, die Hauptstadt Ungarns. Der Name des Erfinders ist inzwischen überall bekannt. Damals war Erno Rubik ein Dozent an der Fakultät für Innenarchitektur an der Akademie -
Mathematics of the Rubik's Cube
Mathematics of the Rubik's cube Associate Professor W. D. Joyner Spring Semester, 1996{7 2 \By and large it is uniformly true that in mathematics that there is a time lapse between a mathematical discovery and the moment it becomes useful; and that this lapse can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful." John von Neumann COLLECTED WORKS, VI, p. 489 For more mathematical quotes, see the first page of each chapter below, [M], [S] or the www page at http://math.furman.edu/~mwoodard/mquot. html 3 \There are some things which cannot be learned quickly, and time, which is all we have, must be paid heavily for their acquiring. They are the very simplest things, and because it takes a man's life to know them the little new that each man gets from life is very costly and the only heritage he has to leave." Ernest Hemingway (From A. E. Hotchner, PAPA HEMMINGWAY, Random House, NY, 1966) 4 Contents 0 Introduction 13 1 Logic and sets 15 1.1 Logic................................ 15 1.1.1 Expressing an everyday sentence symbolically..... 18 1.2 Sets................................ 19 2 Functions, matrices, relations and counting 23 2.1 Functions............................. 23 2.2 Functions on vectors....................... 28 2.2.1 History........................... 28 2.2.2 3 × 3 matrices....................... 29 2.2.3 Matrix multiplication, inverses.............. 30 2.2.4 Muliplication and inverses............... -
Breaking an Old Code -And Beating It to Pieces
Breaking an Old Code -And beating it to pieces Daniel Vu - 1 - Table of Contents About the Author................................................ - 4 - Notation ............................................................... - 5 - Time for Some Cube Math........................................................................... Error! Bookmark not defined. Layer By Layer Method................................... - 10 - Step One- Cross .................................................................................................................................. - 10 - Step Two- Solving the White Corners ................................................................................................. - 11 - Step Three- Solving the Middle Layer................................................................................................. - 11 - Step Four- Orient the Yellow Edges.................................................................................................... - 12 - Step Five- Corner Orientation ............................................................................................................ - 12 - Step Six- Corner Permutation ............................................................................................................. - 13 - Step Seven- Edge Permutation............................................................................................................ - 14 - The Petrus Method........................................... - 17 - Step One- Creating the 2x2x2 Block .................................................................................................. -
Cube Lovers: Index by Date 3/18/17, 2 09 PM
Cube Lovers: Index by Date 3/18/17, 209 PM Cube Lovers: Index by Date Index by Author Index by Subject Index for Keyword Articles sorted by Date: Jul 80 Alan Bawden: [no subject] Jef Poskanzer: Complaints about :CUBE program. Alan Bawden: [no subject] [unknown name]: [no subject] Alan Bawden: [no subject] Bernard S. Greenberg: Cube minima Ed Schwalenberg: Re: Singmeister who? Bernard S. Greenberg: Singmaster Allan C. Wechsler: Re: Cubespeak Richard Pavelle: [no subject] Lauren Weinstein: confusion Alan Bawden: confusion Jon David Callas: [no subject] Bernard S. Greenberg: Re: confusion Richard Pavelle: confusion but simplicity Allan C. Wechsler: Short Introductory Speech Richard Pavelle: the cross design Bernard S. Greenberg: Re: the cross design Alan Bawden: the cross design Yekta Gursel: Re: Checker board pattern... Bernard S. Greenberg: Re: Checker board pattern... Michael Urban: Confusion Bernard S. Greenberg: Re: the cross design Bernard S. Greenberg: Re: Checker board pattern... Bernard S. Greenberg: Re: Confusion Bernard S. Greenberg: The Higher Crosses Alan Bawden: The Higher Crosses Bernard S. Greenberg: Postscript to above Bernard S. Greenberg: Bug in above Ed Schwalenberg: Re: Patterns, designs &c. Alan Bawden: Patterns, designs &c. Alan Bawden: 1260 Richard Pavelle: [no subject] Allan C. Wechsler: Re: Where to get them in the Boston Area, Cube Language. Alan Bawden: 1260 vs. 2520 Alan Bawden: OOPS Bill McKeeman: Re: Where to get them in the Boston Area, Cube Language. Bernard S. Greenberg: General remarks Bernard S. Greenberg: :cube feature http://www.math.rwth-aachen.de/~Martin.Schoenert/Cube-Lovers/ Page 1 of 45 Cube Lovers: Index by Date 3/18/17, 209 PM Alan Bawden: [no subject] Bernard S. -
Rubiku Kuubiku Lahendamine Erinevaid Algoritme Kasutades
TALLINNA TEHNIKAÜLIKOOL Infotehnoloogia teaduskond Arvutitehnika instituut Eero Rahamägi 123837 RUBIKU KUUBIKU LAHENDAMINE ERINEVAID ALGORITME KASUTADES Bakalaureusetöö Juhendaja: Sergei Kostin PhD Teadur Tallinn 2017 Autorideklaratsioon Kinnitan, et olen koostanud antud lõputöö iseseisvalt ning seda ei ole kellegi teise poolt varem kaitsmisele esitatud. Kõik töö koostamisel kasutatud teiste autorite tööd, olulised seisukohad, kirjandusallikatest ja mujalt pärinevad andmed on töös viidatud. Autor: Eero Rahamägi 21.05.2017 2 Annotatsioon Käesolevas bakalaureuse lõputöös kirjeldatakse erinevaid Rubiku kuubiku lahendamise algoritme. Analüüs ning võrdlus erinevate algoritmide vahel; kiirust ning optimaalsust arvesstades käikude arvu lühendamisel kuupi lahendades. Võrdlust aitab realiseerida ka prototüüpne programm mis lahendab kuubiku valitud algoritme kasutades. Töö eesmärk on anda lugejale selge, arusaadav ning detailne ülevaade Rubiku kuubiku algoritmidest analüüsides ning kirjeldades erinevaid algoritme ning nende seotust keerukuse ning optimaalsuse lähtepunktist. Samuti annan ülevaate kasutatavast prototüüpsest programmist mis on võimeline lahendama Rubiku kuubikut suvalisest algolekust. Lugejale esitatakse programne prototüüp visuaalsel kujul. Lõputöö on kirjutatud eesti keeles ning sisaldab teksti 31 leheküljel, 3 peatükki, 6 joonist, 1 tabel. 3 Abstract Solving Rubiks Cube using different algorithms This Bachelors thesis describes different Rubik’s cube solving algorithms. Analysis and comparison between various algorithms; considering speed and optimality in decreasing the amount of steps it takes to complete a cube. A prototype program will be presented as a tool to help put the thesis into practice using selected algorithms. However creating this kind of application can be quite complex taking into consideration the sheer size of algorithms and different patterns, searching methods and the complexity of the programming language itself. Developing this kind of program requires handling many different parts of code and algorithms simultaneously. -
NEWSLETTER July 2021
NEWSLETTER July 2021 Welcome to our July Newsletter- In last summer's TURN TO PAGE 14 newsletter introduction, I referred to 2019-20 being a year 'unlike any other'. Sadly, it would seem that 2020-21 has also been a year 'unlike TO FIND OUT THE WINNER OF any other' and I don't think any of us could have imagined the pandemic continuing for as long as it has or having the very significant impact on the world of education in the way that it has. There are, however, brighter times ahead and we look forward to a return to school in September that feels more like our normality. We have been carefully reviewing our procedures in school and we recognise that some of the practices that we have brought in due to COVID-19 have actually enhanced what we do and helped us to raise standards. Certain other things, we will not be continuing with- we SAVE THE DATE! are very much looking forward to our teachers being able to base YEAR 6 OPEN EVENING themselves in their own rooms again, allowing the students to move more freely around school from subject area to subject area. Thursday 23rd September We can’t wait to welcome Year 6 students As ever, we have not compromised on all the fantastic extra activities and their parents/carers to our Open and opportunities on offer to our students and this July newsletter Evening. Students will have the contains so many amazing stories and articles about our students' opportunity to visit each of our subject achievements. -
Paris Rubik's Cube World Championship to Be Biggest Ever
Paris Rubik’s Cube World Championship to be Biggest Ever Submitted by: Rubik’s Cube Wednesday, 14 June 2017 The Rubik’s Cube World Championship (http://www.rubiksworldparis2017.com/en/home/), which sees competitors battle to solve the iconic cube (https://www.rubiks.com/) as quickly as possible, is being staged in France for the first time from Thursday 13 to Sunday 16 July 2017 and will see a record number of ‘speedcubers’ in action. Australian Feliks Zemdegs will defend the world title for the Rubik’s Cube, which he has held since winning in 2013 with an average solve time of 8.18 seconds and defended in 2015 with an average solve time of 7.56 seconds. Although the championship is traditionally aimed at individual competitors, this year the inaugural Nations Cup will see teams of three from 45 countries go head-to-head for the first time. Due to the excitement around the new Nations Cup format, it is anticipated that Ern Rubik, the legendary Hungarian creator of the iconic Rubik’s Cube, will be in attendance at the event. A professor of architecture from Budapest, he created the cube in 1974 to encourage his students to think about spatial relationships. Since its international launch in 1980, an estimated 450 million Rubik’s Cubes have been sold, making it the world’s most popular toy. The Rubik’s Cube World Championship will take place at Les Docks de Paris, France, and will welcome 1,100 competitors from 69 countries, competing in eighteen individual competition classes, including blindfolded solving, solving with feet and tackling different puzzles. -
Dino Cube / Rainbow Cube / Brain Twist 06/02/2007 02:36 PM
Dino Cube / Rainbow Cube / Brain Twist 06/02/2007 02:36 PM Dino Cube / Rainbow Cube / Brain Twist http://www.geocities.com/jaapsch/puzzles/dinocube.htm Page 1 of 5 Dino Cube / Rainbow Cube / Brain Twist 06/02/2007 02:36 PM Picture kindly supplied by Hendrik Haak The Dino Cube is a cube shaped puzzle, and like the Skewb, it has eight axes of rotation centred around the corners. Its cutting planes go diagonally through the square faces, cutting off triangular pyramidal corners. There are twelve moving pieces, one on each edge of the cube. It is called a dino cube because it originally had pictures of dinosaurs on the sides. Versions with 6 colours (pictured above) were also made, as well as with only 4 or 2 colours. The second puzzle pictured above is the Rainbow Cube. It has the shape of a cuboctahedron. It is very much like a Dino Cube in which the corners have been cut off, giving it 8 triangular faces as well as 6 square ones. The puzzle still has only 12 moving pieces, but now there are also stationary centres in the triangular faces. There are two colour schemes. One has 14 colours, the other has only 7 colours with opposite faces the same colour. As the puzzle with the 7 colour scheme does not have any identical pieces, the two colour schemes give puzzles of the same difficulty. The Brain Twist is a new puzzle by Hoberman. The third picture above shows what it looks like when unfolded in its star shape. -
Magiczny Sześcian- Kostka Rubika
Szkoła Podstawowa Zakonu Pijarów im. ks. St. Konarskiego ul. Dzielskiego 1 31 – 465 Kraków Magiczny sześcian- Kostka Rubika Karol Pezda Klasa 6a Kraków 2021 Spis treści Wstęp 3 1. Co to jest kostka Rubika? 4 2. Historia wynalazcy 6 3. Historia wynalazku 8 4. Najlepsze kostki 10 5. Budowa kostki 12 6. Konserwacja 14 7. Rożne rodzaje kostek 15 8. World Cube Association (WCA) 16 9. Polskie Stowarzyszenie Speedcubingu (PSS) 19 10. Rekordy, statystyki oraz znane postacie 20 11. Odpowiednie przygotowanie 22 12. Notacje/ ruchy 23 13. Fingershortcuts i ,,wzorki” 25 14. Metoda LBL- podstawowa 27 15. Metoda Fridrich 34 Bibliografia 37 2 Wstęp Moja praca poświęcona jest w całości kostce Rubika - od jej założenia do metody układania. Dowiesz się w niej wiele rzeczy na jej temat. Jednak znajomość teorii to nie wszystko. Chodzi przede wszystkim o praktykę. Nie mówię, że teoria to nic ważnego. Absolutnie nie! Od czegoś trzeba przecież zacząć, jednak co da Ci znajomość teorii, jeśli nie umiesz jej wykorzystać. Książka składa się więc z dwóch części: teoretycznej i praktycznej. W każdej możesz dowiedzieć się czegoś fascynującego, więc czytaj do końca, aby dowiedzieć się wszystko o kostce Rubika. Chcę w tym tekście pokazać również związek matematyki z tą łamigłówką. Szczególnie geometrią. Sam wynalazca, Ernő Rubik stworzył kostkę Rubika, aby rozwinąć u swoich studentów myślenie o geometrii trójwymiarowej, co doskonale mu się udało. 3 1. Co to jest kostka Rubika? Co to jest kostka Rubika? Domyślnie kostka Rubika to sześcian średniej wielkości, który składa się z 27 mniejszych sześcianów (zmniejszonych w skali 1:3- jeden mały sześcian jest trzykrotnie mniejszy od całej kostki) . -
The Cubing Community Megasurvey 2021 Acknowledgements
THE CUBING COMMUNITY MEGASURVEY 2021 ACKNOWLEDGEMENTS This work follows in the footsteps of the r/Cubers tradition of yearly Megasurveys, of which this is the fifth instalment. For the first time we've been able to integrate the responses and experience of our colleagues from China, whose communities do not always have access to the same online spaces. We're happy to present the results of this survey as a whole, reuniting these two big communities The following people contributed to this project: You guys were awesome, The r/Cubers mods: have been running the survey for the • welcoming and super supportive past 5 years, wrote and managed the bulk of it and proofread this during the whole analysis process! whole monster of a document. Thank you naliuj, gilzu, stewy, greencrossonleft, topppits, g253, pianocube93 and leinadium! It's been a blast discussing with you, Ruimin Yan / CubeRoot : provided great ideas for the • getting your ideas and seeing you recruit survey, helped coordinate between the east and the west, a thousand people in a matter of days! leveraged his online standing and following to gather all respondents across China and re-translated most this document • Justin Yang: translated the survey into mandarin and helped You have no excuse for speaking re-translate answers during the re-combination and cleanup flawless french (on top of all phase your other languages) at your ridiculously young age! About the author of this document: Basilio Noris is an older cuber, who has spent the past 15 years working on understanding and measuring human behaviour. He spends way too much time playing with data and looking for ways in which to present it. -
How to Solve the 4X4 Rubik's Cube - Beginner's Method 12/17/17, 6 29 PM
How to solve the 4x4 Rubik's Cube - Beginner's method 12/17/17, 629 PM Contribute Edit page (/edit-article/) New article (/new-article/) Home (/) Programs (/rubiks-cube-programs/) Puzzles (/twisty-puzzles/) Ruwix (/online-puzzle-simulators/) Rubik's Cube Wiki (/) (/the-rubiks-cube/how-to-solve-the-rubiks-cube-beginners-method/) Home page (/) (/online-rubiks-cube-solver-program/) (/shop/) Programs (/rubiks-cube-programs/) Rubik's Cube (/the-rubiks-cube/) (https://www.facebook.com/online.rubiks.cube.solver) Twisty Puzzles (/twisty-puzzles/) (https://twitter.com/#!/RuwixCube) Puzzles (https://ruwix.com/twisty- (https://plus.google.com/s/ruwix#112275853610877028537) puzzles/) Home (https://ruwix.com/) » Puzzles Designers (https://ruwix.com/twisty- puzzles/designers/) (https://ruwix.com/twisty-puzzles/) » 4x4x4 Puzzle Modding Rubik's Cube (https://ruwix.com/twisty-puzzles/twisty- puzzle-modding/) Siamese Twisty Puzzles (https://ruwix.com/twisty- puzzles/siamese-twisty-puzzles/) 4x4x4 Rubik's Electronic Cubes (https://ruwix.com/twisty- puzzles/electronic-rubiks-cube-puzzles- Cube - The touch-futuro-slide/) A scrambled Shape Mods (https://ruwix.com/twisty- Easiest Eastsheen puzzles/3x3x3-rubiks-cube-shape- 4x4x4 cube mods-variations/) Sticker Mods (https://ruwix.com/twisty- puzzles/rubiks-cube-sticker-mods-and- Solution picture-cubes-how-to-solve-orient- center-pieces-sudoku-shepherd-maze- The Rubik's Revenge is the 4x4 pochmann/) version of the Rubik's Cube Bandaged Cubes (https://ruwix.com/twisty- (/the-rubiks-cube/). This is also a puzzles/bandaged-cube-puzzles/)