DOCSLIB.ORG

Jaap's Puzzle Page 07/08/2007 04:16 PM

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Jaap's Puzzle Page 07/08/2007 04:16 PM Jaap's Puzzle Page 07/08/2007 04:16 PM UPDATED 11/03/2007. Added new pages for Brain-chek, Frustr8tor, Magellán, Trio, and some new puzzles by Douglas Engel, namely Palette 7, Palette Mix 4, and the Slide Rule Duel puzzles Pentaplenty and Heptalive, Added javascript simulations of Brain-chek, Frustr8tor, and Palette 7. UPDATED 16/12/2006. Added new pages for the Mona Lisa Code Breaker, the Im-puzzle-ball, Palette 21, the Great Pyramid, and the Slide Rule Duel. Added the Mini Magic and also completely rearranged the Rubik's Magic pages. Added the Cmetrick Too Hard to the Cmetrick Too page. There is now a detailed write-up of the Cmetrick Too Contest results. Updated the Izzi page with some new patterns. Added javascript simulation of Palette 21. UPDATED 20/08/2006. Added new pages for the Pionir Cube, the Varikon Box 2x2x2, Clark's Cube, the Battle Gear puzzles, and the four Farmland Gears puzzles. Added Cmetrick Mini to the Cmetrick page, Inversion to the Varikon Box 3×3×3 page, and Transposer Genesis to the Trixxy/Transposer page. Added new solutions for the Rubik's Domino and the Nintendo Barrel. Added javascript simulation of Cmetrick Mini, and the Varikon Box 2x2x2. If you have a puzzle but don't know its name, then you can look at the Graphical Overview of all the puzzles featured on this site. * = JavaScript simulation available Click to switch preview on/off Rubik's Cube family: Other moving piece puzzles: Articles: Tetrahedral: (4 axes) Bandaged: About my collection Cayley graphs Pyraminx* / Tetraminx/ Bandaged Pyraminx Cmetrick Too Contest Results NEW Meier-Halpern Pyramid Bicube (Bandaged Cube) Computer Puzzling Battle Gear Mask / Spy NEW Cubic Circular Cubical: (6 axes) Planets Circle Puzzler's Manual Rotascope* Simple Ideas for further puzzles Rubik's Pocket Cube (2×2×2)* Slide Rule Duel NEW Useful Mathematics Rubik's Cube (3×3×3) Square One / Cube 21 Group Theory for puzzles Rubik's Revenge (4×4×4) Trio NEW The Mathematics of Lights Out Professor's Cube (5×5×5) Puzzle Patents Barrel / Octagon With gaps: Rotational puzzles on graphs Diamond Style Puzzler* Cube subgroups Octahedron Atomic Chaos / Kaos* Cube Symmetries and Pretty Patterns: part 1 2, 3, 4 Pyramorphix / Stern Babylon Tower Thistlethwaite's 52-move algorithm BackSpin / Loophole Two-generator corners group Octahedral: (8 axes) Billiards 9-ball puzzle* Clark's Cube NEW Beachball Crossteaser* Diamond Diamond 8-ball puzzle* Other interesting puzzles: Dino Cube* / Rainbow Cube / 14-15 Puzzle* Brain Twist / Jackpot / Platypus Great Gears* Skewb Massage Ball* Pattern matching puzzles: Ultimate Skewb Missing link* Mona Lisa Code Breaker NEW Bolygok Dodecahedral: (12 axes) Panex* Circus Puzzler* / Drive Ya Nuts / Peter's Black Hole / Magic Jack / Spot Colour Puzzle / Thinkominos Rubik's Dice Alexander's Star IQube Pionir Cube NEW Dodeca Nona Dogic Rack'em Up* Fool's Spool Impossiball / Thomasball Rolling Cubes Puzzle* Four Cube Puzzle Megaminx Row by Row* Frustr8tor* NEW Saturn (by LD Games) Instant Insanity* / Buvos Golyok / http://www.geocities.com/jaapsch/puzzles/ Page 1 of 3 Jaap's Puzzle Page 07/08/2007 04:16 PM Saturn (by LD Games) Instant Insanity* / Buvos Golyok / Dihedral: SpongeBob Puzzle* Drive Ya Crazy Whip-it / 6 by 6* / Varikon Izzi UPDATED Brain ball* Varikon Box 2×2×2* NEW Rubik's Maze Rubik's Domino* UPDATED Varikon Box 3×3×3* / Inversion NEW Octacube Gerdig Ufo* Wisdom Ball / Wisdom Ball II On the Level Kép Korong / Rubik's Cheese* Magellán NEW Masterball* / Logi-Vip Flat without gaps: The Great Pyramid NEW Morph head Pyram (Hockey) Puck* Pyrix Butterfly* Roundy 3* / Roundy 4 Pyrus Circle Puzzle* / Whirligig Saturn* (by Mag-Nif) Rubik's Rabbits Cohan Circle* Smart Alex Raging Rapids Farmland Gear Big Crop / Tricky Disky / Triple Disky / Feed Lots / Hay Ride / Plow Deep Rubik's Royal Brainteaser Ufo/Varia-Disk NEW Spectra Rubik's Ufo* Rubik's Fifteen* Rubik's Tangle Flip-Side* Tantrix / Tantrix Rock Gripple (2)* Trixxy / Transposer Tiffany / Programs, etc.: Mad Triad / Handy Transposer 6 / Palette 7* NEW Transposer Bonbons / Transposer Genesis NEW / Palette 21* NEW Kaboozle / Stained Palette Mix 4 NEW Java Applets: Turn 12 Port to Port* / Triple Cross* Rubik's ZigZaw Rubik's Cube Java Applet Rashkey* Rotos* Sphere Symmetries Java Applet Others: Polyform puzzle Java Applet Rubik's Rings* / Hungarian Rings* Slide Rule Duel Pentaplenty / Brain-chek* NEW Javascript Source Code Slide Rule Duel Heptalive NEW Swissmad* Rubik's Clock* Topspin / No. Crunch* / Cmetrick* / CMetrick Mini* NEW Other stuff: Educational Logic Game Columbus Egg / Trillion* The X Super Puzzle Graphical Overview Tsukuda's Square / 'It' Puzzle* Dizzy Rainbow Links Page Lotica / Turn'Push* Enigma / Combinescion Guest Book Turnstile* / Puzzler* / Trio Hexadecimal Puzzle Uriblock / Mix Box* Im-puzzle-ball NEW Zauberkreuz* Kibble Cube * = JavaScript simulation available Kinato* Other permutation puzzles: Lights Out* / Mini Lights Out* / Lights Out 2000* / Lights Out Cube* / Astrolabacus* Lights Out Deluxe* / Vulcan XL-25 Chromo Ball / Merlin Cmetrick Too / Cmetrick Too Hard Luminations NEW Rubik's Magic / Mini Magic NEW / Combo Puzzle Create the Cube / Master Edition / Equator / Hungarian Globe Magic Rings / Magic Balls Massage Ball 2 The Orbik* Mozaika Orbix* Nintendo Billion Barrel* UPDATED Padlock* Octo Puzzle* Snake Cubes / Cubra* Orb (Orb-It) Spinout* / The Brain / Pakoválec* Chinese Rings Rainbow Puzzle* Think-a-Dot* Rubik's Shells* Towers of Hanoi* Siamese Cubes Rubik's Triamid Ufo (by Netblock) / King Ring http://www.geocities.com/jaapsch/puzzles/ Page 2 of 3 Jaap's Puzzle Page 07/08/2007 04:16 PM Home Links Guestbook These pages and scripts are written by Jaap Scherphuis, © Copyright 1999-2007. It is a non-commercial site. Some of these puzzles may be trademarked. This site is not derived from, associated with, or endorsed by the holders of such trademarks. Send any comments or suggestions to [email protected] http://www.geocities.com/jaapsch/puzzles/ Page 3 of 3.
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
    [Show full text]
  • 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
    [Show full text]
  • 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...............
    [Show full text]
  • 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 ..................................................................................................
    [Show full text]
  • 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.
    [Show full text]
  • How to Solve the Rubik's Cube 03/11/2007 05:07 PM
    How to Solve the Rubik's Cube 03/11/2007 05:07 PM Rubik's Revolution Rubik's Cubes & Puzzles Rubik Cube Boston's Wig Store Everything you wanted to know Rubiks Cube 4x4, Keychain & Huge selection of Rubik Cube Great selection & service Serving about the all new electronic Twist In Stock Now-Free Shipping items. the Boston area Rubik’s cube Over $75 eBay.com www.mayswigs.com www.rubiksrevolution.com AwesomeAvenue.biz Ads by Goooooogle Advertise on this site How to Solve the Rubik's Cube This page is featured under Recreation:Games:Puzzles:Rubik's Cube:Solutions in Yahoo! My Home Page | My Blog | My NHL Shootout Stats 2006-2007 There are three translations of this page: Danish (Dansk) (Word Document), Japanese (日本語) (HTML) and Portuguese (Português) (HTML). If you want to translate this page, go ahead. Send me an email when you are done and I will add your translation to this list. So you have a Rubik's Cube, and you've played with it and stared at it and taken it apart...need I go on any further? The following are two complete, fool-proof solutions to solving the cube from absolutely any legal position. Credit goes not to me, but to David Singmaster, who wrote a book in 1980, Notes on Rubik's Magic Cube, which explains pretty much all of what you need to know, plus more. Singmaster wrote about all of these moves except the move for Step 2, which I discovered independently (along with many other people, no doubt). I've updated this page to include a second solution to the cube.
    [Show full text]
  • A Rubik's Cube Chronology
    http://cubeman.org/cchrono.txt 02/10/2007 11:35 AM A Rubik's Cube Chronology ------------------------- Researched and maintained by Mark Longridge (c) 1996-2004 Pre-Rubik --------- Feb 2, 1960 William Gustafson files patent for Manipulatable Toy Mar 12, 1963 Gustafson receives US patent 3,081,089 1970 Uwe Meffert invents a model for research of energy flow in different shape solids (pyraminx) Apr 9, 1970 Frank Fox applies for UK patent for spherical 3x3x3 Mar 4, 1970 Larry Nichols files patent for Twizzle (2x2x2 cube) Apr 11, 1972 Nichols receives US patent 3,655,201 Jan 16, 1974 Frank Fox receives UK patent 1,344,259 Post-Rubik ---------- Spring 1974 Erno Rubik gets idea to make the cube Summer 1974 Erno Rubik solves the cube (arguably the first solver) Jan 30, 1975 Rubik applies for patent on cube Oct 12, 1976 Terutoshi Ishige Japanese Patent 55-8192 for 3x3x3 1977 Rubik's Cube starts distribution in Hungary Mar 28, 1977 Erno Rubik receives Hungarian Patent HU00170062 Aug 1978 Bela Szalai first sees cube in Hungary, later manufactures cube in U.S. (Logical Games Inc) Sept 1979 Ideal Toy buys exclusive rights to the cube for one million dollars Jan 4, 1980 Victor Toth wins pioneering cube contest in 55 sec. July 1980 MIT cube lovers group starts up Sept 1980 Omni prints article on cube in Games column Jan 12, 1981 Steven Hanson and Jeffrey Breslow file US Patent for Missing Link March 1981 Scientific American's 1st article on cube March 1981 Uwe Meffert patents the pyraminx Mar 23, 1981 First mention of Rubik's Cube in Time Magazine May 1981 Reader's Digest prints cube story July 30, 1981 Walter Moll receives German patent for Dodecahedron July 31, 1981 Cube contest featuring James G.
    [Show full text]
  • 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.
    [Show full text]
  • How to Solve the 4X4 Rubik's Cube - Beginner's Method 12/17/17, 629 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/)
    [Show full text]
  • Puzzle Patents 07/08/2007 04:31 PM
    Puzzle patents 07/08/2007 04:31 PM Puzzle Patents Many of the puzzles listed on this site are patented. On the page of any particular patented puzzle it usually mentions the inventor and the patent publication date and number, and has a link to a pdf file of the patent itself. On this page I have collected all those links together. All the patents listed here are of actual puzzles, or are patents of historic interest that are mentioned in the Cubic Circular or the Circle Puzzler's Manual. Many patents exist that have never been made into real puzzles, or that are minor variations of existing ones. For a nice collection of such patents, you should visit Joshua Bell's Puzzle Patents page. Polyhedral 30 December Pyraminx Uwe Meffert EP 42,695 1981 25 October Skewb Puzzle Ball Uwe Meffert US 5,358,247 1994 The pocket cube Ernö Rubik 29 March 1983 US 4,378,117 2x2x2 27 October Eastsheen 2x2x2 cube Chen Sen Li US 5,826,871 1998 Mickey Mouse puzzle Francisco Josa Patermann 22 May 1996 EP 712,649 Darth Maul puzzle Thomas Kremer 17 April 2001 US 6,217,023 K-ball Saleh Khoudary 11 May 2000 WO 00/25874 Figurenmatch / Manfred Fritsche 11 August 1982 DE 3,245,341 Pyramorphix The Rubik's Cube 30 January Ernö Rubik BE 887,875 3x3x3 1975 Cube precursor Larry D. Nichols 11 April 1972 US 3,655,201 16 January Cube precursor Frank Fox GB 1,344,259 1974 Cube precursor William G. Gustafson 12 March 1963 US 3,081,089 4x4x4 Rubik's 20 December Peter Sebesteny US 4,421,311 Revenge 1983 5x5x5 Professor's Udo Krell 15 July 1986 US 4,600,199 cube US Brain Twist Charles Hoberman, Matthew Davis 12 May 2005 2005/098947 http://www.geocities.com/jaapsch/puzzles/patents.htm Page 1 of 5 Puzzle patents 07/08/2007 04:31 PM 16 January WO Jackpot / Platypus Yusuf Seyhan 2003 03/004117 Alexander's Star Adam Alexander 26 March 1985 US 4,506,891 Dogic Zoltan and Robert Vecsei 28 July 1998 HU 214,709 Impossiball William O.
    [Show full text]
  • 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.
    [Show full text]
  • Mathematics of the Rubik's Cube
    Mathematics of the Rubik’s cube Associate Professor W. D. Joyner Spring Semester, 1996-7 2 Abstract These notes cover enough group theory and graph theory to under- stand the mathematical description of the Rubik’s cube and several other related puzzles. They follow a course taught at the USNA during the Fall and Spring 1996-7 semesters. ”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, p489 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 acquir- ing. They are the very simplest things, and because it takes a man’s life to know them the little that each man gets from life is costly and the only heritage he has to leave.” Ernest Hemingway 4 Contents 0 Introduction 11 1 Logic and sets 13 1.1 Logic :::::::::::::::::::::::::::::::: 13 1.1.1 Expressing an everyday sentence symbolically ::::: 16 1.2 Sets :::::::::::::::::::::::::::::::: 17 2 Functions, matrices, relations and counting 19 2.1 Functions ::::::::::::::::::::::::::::: 19 2.2 Functions on vectors
    [Show full text]