5X5x5 Rubik's Cube -How to Solve the Professor's Cube 12/21/17, 11 07 PM
Total Page：16
File Type：pdf, Size：1020Kb
Load more
Recommended publications
-
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............... -
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. -
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/) -
Download and Listen on Your Iphone®, Android™, Kindle™, and 500+ Mp3 Players Choose from 85,000+ Audiobooks and More Try One Today at Audible.Com/Savetime
SEPT–OCT 2011, v OlumE 104, numbEr 1 Investment products: Are Not FDIC Insured Are Not Bank Guaranteed May Lose Value U.S. Trust, Bank of America Private Wealth Management operates through Bank of America, N.A. and other subsidiaries of Bank of America Corporation. Bank of America, N.A., Member FDIC. WHAT IS WORTH is a trademark of Bank of America Corporation. © 2011 Bank of America Corporation. All rights reserved. ARF2E644 WHAT IS a legacy of teaching children how to handle legacies WORTH? According to a 2011 U.S. Trust survey,* less than one-third of adults believe their children will be prepared to handle an inheritance. It’s an anxiety that’s shared by countless other families, and it’s the reason we created the Financial Empowerment Program. Namely, to help provide your children with all the insights, guidance and assistance necessary to help preserve and grow the assets they stand to inherit. And in turn, carry on the values that helped you earn that wealth in the rst place. For more on how we can help manage your wealth and worth when it comes to legacy and estate planning, read “The Power of Positive Teaching” at ustrust.com/lessons 1.800.U.S. TRUST | ustrust.com/lessons *2011 U.S. Trust Insights on Wealth and Worth™ survey of high-net-worth adults with $3 million or more in investable assets. What’s key to surviving breast cancer? You Get Screened nOW LeSS tALK. MOre ActIOn. Early detection saves lives. the 5-year survival rate for breast cancer when caught early is 98%. -
General Information Project Details
MATH 304 FINAL TERM PROJECT General Information There will be no written final exam in Math 304, instead each student will be responsible for researching and producing a final project. You are to work in groups consisting of a maximum of 5 students. Short presentations will be held during the final weeks of classes. The ultimate goal is for you to have a truly enjoyable time working on your course term project. I want you to produce something that you will be proud to show your friends and family about what you’ve learned by taking this course. The expectation is that every student will wholeheartedly participate in their chosen project, and come away with some specialized knowledge for the area chosen to investigate. I expect you to let your imagination flourish and to use your familiarity with contemporary technology and both high- and pop-culture to create a product that you will be proud of for years to come. Project Details Your project should have a story/application/context that is explainable to an audience of your classmates, and include a connection to content covered in this course. The mathematical part of your poster must include an interpretation of the mathematical symbols used within your story, and a statement of a theoretical or computational result. In short, be sure your project has (i) math, and (ii) is connected to the course in some way. Here are some examples of possible topics: 1. Analyze another twisty puzzle (not the 15-puzzle, Oval Track, Hungarian Rings, or Rubik’s cube). Come up with a solvability criteria (i.e. -
Permutation Puzzles a Mathematical Perspective
Permutation Puzzles A Mathematical Perspective Jamie Mulholland Copyright c 2021 Jamie Mulholland SELF PUBLISHED http://www.sfu.ca/~jtmulhol/permutationpuzzles Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 License (the “License”). You may not use this document except in compliance with the License. You may obtain a copy of the License at http://creativecommons.org/licenses/by-nc-sa/4.0/. Unless required by applicable law or agreed to in writing, software distributed under the License is dis- tributed on an “AS IS” BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. First printing, May 2011 Contents I Part One: Foundations 1 Permutation Puzzles ........................................... 11 1.1 Introduction 11 1.2 A Collection of Puzzles 12 1.3 Which brings us to the Definition of a Permutation Puzzle 22 1.4 Exercises 22 2 A Bit of Set Theory ............................................ 25 2.1 Introduction 25 2.2 Sets and Subsets 25 2.3 Laws of Set Theory 26 2.4 Examples Using SageMath 28 2.5 Exercises 30 II Part Two: Permutations 3 Permutations ................................................. 33 3.1 Permutation: Preliminary Definition 33 3.2 Permutation: Mathematical Definition 35 3.3 Composing Permutations 38 3.4 Associativity of Permutation Composition 41 3.5 Inverses of Permutations 42 3.6 The Symmetric Group Sn 45 3.7 Rules for Exponents 46 3.8 Order of a Permutation 47 3.9 Exercises 48 4 Permutations: Cycle Notation ................................. 51 4.1 Permutations: Cycle Notation 51 4.2 Products of Permutations: Revisited 54 4.3 Properties of Cycle Form 55 4.4 Order of a Permutation: Revisited 55 4.5 Inverse of a Permutation: Revisited 57 4.6 Summary of Permutations 58 4.7 Working with Permutations in SageMath 59 4.8 Exercises 59 5 From Puzzles To Permutations ................................. -
Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other
Adventures in Group Theory: Rubik’s Cube, Merlin’s Machine, and Other Mathematical Toys David Joyner 5-15-2008 In mathematics you don’t understand things. You just get used to them. Johann von Neumann v Contents Preface ................................................... ................ix Acknowledgements ................................................... xiii Where to begin ................................................... .xvii Chapter 1: Elementary my dear Watson ................................1 Chapter 2: And you do addition? .......................................13 Chapter 3: Bell ringing and other permutations ......................37 Chapter 4: A procession of permutation puzzles ......................61 Chapter 5: What’s commutative and purple? .........................83 Chapter 6: Welcome to the machine ..................................123 Chapter 7: ‘God’s algorithm’ and graphs .............................143 Chapter 8: Symmetry and the Platonic solids .......................155 Chapter 9: The illegal cube group ....................................167 Chapter 10: Words which move .......................................199 Chapter 11: The (legal) Rubik’s Cube group ........................219 Chapter 12: Squares, two faces, and other subgroups ...............233 Chapter 13: Other Rubik-like puzzle groups .........................251 Chapter 14: Crossing the rubicon .....................................269 Chapter 15: Some solution strategies .................................285 Chapter 16: Coda: questions and other directions