# 魔術方塊整理筆記 <p style="text-align: right;">柯仲遠<br /><br /></p> * 本網頁短網址：https://tg.pe/ksr * Chrome 暗黑板：先下載[Stylish擴充功能](https://chrome.google.com/webstore/detail/stylish-custom-themes-for/fjnbnpbmkenffdnngjfgmeleoegfcffe?utm_source=chrome-ntp-icon)，然後[點此](https://userstyles.org/styles/145795/dark-hackmd-w-realtime-preview)進入後按Install Style，接著重整此頁面即可。 --- ## 3階魔術方塊公式表 * [初版](https://www.facebook.com/groups/taiwan.rubikscube.club/permalink/4577780838942697/) * [二版](https://www.facebook.com/groups/taiwan.rubikscube.club/permalink/6049835991737167/) （二版已刪文，若需要請寄email至avy10158@gmail.com） <!-- * [公式表](https://www.facebook.com/groups/167698586617633/posts/4577780838942697/) - 試算表：https://tg.pe/juT - PDF：https://tg.pe/WY8 * [自訂OLL公式表](https://www.facebook.com/groups/167698586617633/posts/4682511141802999) - https://tg.pe/olls --> --- ## 工具 * [WCA 競賽規則](https://www.worldcubeassociation.org/regulations/translations/chinese-traditional/) ### 轉動模擬 * https://alg.cubing.net/ * https://cubedb.net/?puzzle=3 * https://alpha.twizzle.net/ - https://alpha.twizzle.net/edit/ - https://alpha.twizzle.net/explore/ ### trainer * [Alg-Trainer](https://tao-yu.github.io/Alg-Trainer/) * [Cross To F2L Trainer](https://christianvaughn.net/C2F2L/) * [Two Side PLL Recognition Trainer](https://cubetrainers.com/plltrainer.html) * [Rubiks Trainer](https://www.rubikstrainer.com/) - [OLL Recognition](https://www.rubikstrainer.com/recognition/oll) - [PLL Recognition](https://www.rubikstrainer.com/recognition/pll) - [Cross To F2L](https://www.rubikstrainer.com/cross2f2l) * [PLL Recognition Trainer](https://www.sc-trainer.com/) ### alg. tools * [alg.cubing.net](https://alg.cubing.net/) * [cubedb](https://cubedb.net/) * [Algorithm Translator](http://cube.crider.co.uk/algtrans.html) * [Order Calculator](https://mzrg.com/rubik/ordercalc.shtml) - [How to find the order of a Rubik's cube algorithm?](https://math.stackexchange.com/questions/3357124/how-to-find-the-order-of-a-rubiks-cube-algorithm) - [台灣魔術方塊俱樂部上的討論串](https://www.facebook.com/groups/167698586617633/permalink/4005242736196513) * [ROLL&JOLL](https://tao-yu.github.io/ROLLJOLL/?alg=) * [cushan.io](http://cushan.io/) * [speedcubestats](https://speedcubestats.com/lab?) ### 打亂 * https://www.worldcubeassociation.org/regulations/history/files/scrambles/scramble_cube.htm?size=3&num=5&len=20&col=yobwrg&subbutton=Scramble%21 * https://ruwix.com/puzzle-scramble-generator/ * http://cube.danrcohen.com/scrambler.html ### 計時器 * [online-rubiks-stopwatch](https://ruwix.com/online-rubiks-stopwatch-timer/) * [csTimer](https://cstimer.net/) - [csTimer+](https://chrome.google.com/webstore/detail/cstimer%20/bfafldbloncllehfiaflmmjhohiobfmo) * [CubeDesk](https://www.speedsolving.com/threads/i-made-a-cubing-timer-trainer-and-analytics-desktop-app.79850/?utm_campaign=ed1695&utm_content=iss49&utm_source=threadloom&utm_medium=email#post-1421738) * https://cubeclock.net/ * https://chiacube.tw/Timer/ * https://speedtimer.xyz/index.html ### 畫魔方 * [http://cube.crider.co.uk/visualcube.php](http://cube.crider.co.uk/visualcube.php) ( [中文介紹](http://www.i-mofang.com/i/?id=36) ) (本筆記魔方圖片來源) * http://cubiclealgdbimagegen.azurewebsites.net/ * http://www.cubezone.be/imagecube.html ### 3x3 Solver * https://ruwix.com/online-rubiks-cube-solver-program/ * https://www.grubiks.com/solvers/rubiks-cube-3x3x3/ --- ## 魔方網站 ### 中文網站 * [維基百科-魔術方塊](https://zh.wikipedia.org/wiki/%E9%AD%94%E6%96%B9) * [Wikiwand速解扭計骰](https://www.wikiwand.com/zh-mo/%E9%80%9F%E8%A7%A3%E9%AD%94%E6%96%B9#/) * [郭君逸](https://www.davidguo.idv.tw/Cube2) ([舊站](http://www.davidguo.idv.tw/Cube/)) * [小丸號方塊屋](https://maru.tw/tw/) * [魔方小天地](https://cube-tutorial.pinpincuber.com/) * [chiacube](https://chiacube.tw/) * [方塊轉不快](https://www.facebook.com/%E6%96%B9%E5%A1%8A%E8%BD%89%E4%B8%8D%E5%BF%AB-101460071410132/?ref=py_c) ### 英文網站 #### 一般 * [WCA](https://www.worldcubeassociation.org/) * [ruwix.com](https://ruwix.com/) * [grubiks.com](https://www.grubiks.com/) * [Lars Vandenbergh's CubeZone](http://www.cubezone.be/index.html) * [jaapsch](https://www.jaapsch.net/puzzles/) * [cube.crider.co.uk](http://cube.rider.biz/) * [cyotheking](http://www.cyotheking.com/) * [cubewhiz](http://www.cubewhiz.com/index.php) #### speedcubing * [speedsolving wiki](https://www.speedsolving.com/wiki/index.php/Main_Page) * [algdb.net](http://algdb.net/) * [speedcubedb](http://www.speedcubedb.com/) * [cube skills](https://www.cubeskills.com/) * [sarah cubing](https://sarah.cubing.net/) * [cubing...](http://cube.danrcohen.com/) * [J perm](https://jperm.net/) * [cuberoot](https://cuberoot.me/) * [Mike's Cube Algs](https://logiqx.github.io/cubing-algs/html/) * [Jayden McNeill Speedcubing Blog](https://www.jaydenmcneillcubing.com/) * https://speedcubestats.com/ #### 詭異網站 * [badmephisto](http://www.badmephisto.com/guide.html) * [rubiksplace](http://www.rubiksplace.com/) * [Absolute Mind](https://absolutemind.pagesperso-orange.fr/index-angl.html) * http://kociemba.org/cube.htm * https://sites.google.com/site/rubiksinfo/ * https://paritycasecubing.wordpress.com/ ### 簡字網站 * [i-mofang](http://www.i-mofang.com/i/) * [魔方乐園](http://www.mf100.org/index.htm) ### 日文網站 * [planet-puzzle](https://www.planet-puzzle.com/) --- ## 文章 * https://speedcubedb.com/features/ * [八大魔方快速還原法](https://zhuanlan.zhihu.com/p/57816260) * [[小丸油家族] 完整介紹整理文](https://maru.tw/solve-cube/writer/cubers-articles/587-marulube-family) * [公式是如何在魔術方塊的解法中運作的？](https://cubinherit.tw/how-does-algorithms-works/) - 原影片：[How Algorithms ACTUALLY Work on the Rubik's Cube](https://www.youtube.com/watch?v=_Zv3YcQeNVI) * https://www.fuw.edu.pl/~konieczn/RubikCube.pdf ### LEARNING FROM THE PROS * [LEARNING FROM THE PROS](https://speedcubedb.com/features/4/) - [向高手学习 Learning From The Pros](https://www.cuberoot.me/learning-from-the-pros-chinese/) - [Learning from the Pros-CHS.pdf](https://drive.google.com/drive/folders/16vhfpBgiBB98CXgl40RDobmsLfmI6Bgc) --- ## 魔方術語 * [小丸號 - 魔術方塊專有名詞大字典-2020年最新版](https://maru.tw/solve-cube/techniques/cube-dictionary) * [10+ Cubing Terms Every Cuber Should Know!](https://www.youtube.com/watch?v=4nSnsav3bIU) ### God's Number * [God's Number](https://ruwix.com/the-rubiks-cube/gods-number/) ___ ## Youtube 頻道 ### 國外 * [J Perm](https://www.youtube.com/channel/UCqTVfT9JQqhA6_Hi_h_h97Q/playlists) * [CubeHead](https://www.youtube.com/channel/UC9wvQsn9VGQsX9uFWEuQW4A) * [Brian Sun](https://www.youtube.com/channel/UCTrb6qcYgOjj2Wh-9iQnmsQ) - https://www.youtube.com/c/BrianSunCubes/about * [Feliks Zemdegs](https://www.youtube.com/channel/UCQ7ASM-o1ELUbScXCKYwovA) * [Matěj Grohmann](https://www.youtube.com/channel/UCohGGru0oA6ZOuK-ZZmqBlw) ### 國內 * [方塊轉不快](https://www.youtube.com/channel/UCUvrC12tC7ckCS0Mhmw9I0g) * [鍾以理 Daniel](https://www.youtube.com/user/082915d) * [MARUCUBE](https://www.youtube.com/user/cubershop) * [RQcube](https://www.youtube.com/channel/UClbk3uDZIB2vXU98-fScTNA) --- ## 討論串 * [國小學生黃色小花講解方式](https://www.facebook.com/groups/167698586617633/permalink/3138623222858473/) * [魔方容錯率 (2022/1/9)](https://www.facebook.com/groups/167698586617633/permalink/4706456576075122/) --- ## 魔方購買 * [推薦單手方塊？(2022/1/16)](https://www.facebook.com/groups/167698586617633/permalink/4729804590406987/) * [推薦初階的魔術方塊？(2021/4/14)](https://www.facebook.com/groups/167698586617633/permalink/3874075672646554/) * [【3x3魔術方塊選購指南】(2019/12/12)](https://www.facebook.com/permalink.php?story_fbid=904315953296611&id=506963076365236) * [小丸號 - 2020年度最佳方塊票選結果](https://www.facebook.com/marucubetw/posts/10158113558978315/) --- ## 3x3魔方 (CFOP) ### 流程圖 ![](https://scontent-tpe1-1.xx.fbcdn.net/v/t1.6435-9/173239098_4438928282788220_590687355869944812_n.jpg?_nc_cat=110&ccb=1-5&_nc_sid=dbeb18&_nc_ohc=JPNe78I1L9MAX_E-b0K&_nc_ht=scontent-tpe1-1.xx&oh=00_AT9iruHKaZDofoacDqibsswanycmfOg42KrYd-fITSVA4A&oe=61FC1809) * 資料來源：[FB台灣魔術方塊俱樂部上的某討論串 (2021/4/14)](https://www.facebook.com/groups/167698586617633/permalink/3874075672646554/) 底下的留言 ### 轉法符號 * http://www.rubiksplace.com/move-notations/ * https://www.easyatm.com.tw/wiki/%E9%AD%94%E6%96%B9%E5%85%AC%E5%BC%8F * https://www.speedsolving.com/wiki/index.php/Category:Puzzle_notations * https://ruwix.com/the-rubiks-cube/notation/ * [Rubik's Cube: How to Read Algorithms (Full Notation Guide)](https://www.youtube.com/watch?v=24eHm4ri8WM) --- ### Cross * [三阶魔方-CFOP-CROSS实例](http://www.i-mofang.com/bb_25.shtml#maintop) * [3x3x3魔方十字探討](http://www.davidguo.idv.tw/cube/Cross.htm) * [Advanced Cross](https://www.youtube.com/playlist?list=PLI24ciRbl8BWbmb42GW5BDinKfKVq79WD) * [小丸號 - 十字進階解法](https://maru.tw/solve-cube/solutions/solutions-3x3/solutions-3x3-advance-cross) * [三阶魔方高级玩法教程----Cross公式](http://www.mf100.org/cfop/cross.htm) * 百度資源 - [白底版CROSS十字教程【十字天书】](https://wenku.baidu.com/view/523f69116c175f0e7cd137b6.html) - [XCROSS教程独孤九剑版](https://wenku.baidu.com/view/003cfd8271fe910ef12df850.html) - [XCROSS魔方公式](https://wenku.baidu.com/view/9aedeca8eefdc8d377ee3260) |<img src="https://upload.cc/i1/2020/03/15/qNOhyT.png" style="zoom:15%;" />|<img src="https://upload.cc/i1/2020/03/15/eO4Sfj.png" style="zoom:15%;" />|<img src="https://upload.cc/i1/2020/03/14/eKaRGq.png" style="zoom:15%;" />|<img src="https://upload.cc/i1/2020/03/14/ckNiUv.png" style="zoom:15%;" />| |:-:|:-:|:-:|:-:| |u' R u|u R' u'|R u R' u'|R u' R u| --- ### [OLL (Orientation of Last Later)](https://www.speedsolving.com/wiki/index.php/OLL) (57) * [ROLL & JOLL](https://www.speedsolving.com/threads/joll-v2-in-depth-explanation-roll-joll-learning-tools-are-finally-here.73886/) --- ### [PLL (Permutation of Last Layer)](https://www.speedsolving.com/wiki/index.php/PLL) (21) #### [U Perm](https://www.youtube.com/watch?v=qZbTKzN0Vgw) #### V Perm * [RUF V perm](https://www.reddit.com/r/Cubers/comments/37vn60/your_v_perm_problems_solved_an_amazing_ruf_v_perm/) >R U R' U F' R' U' R U' R' U2 R U' F U' R U2 R' R U2 R' U F' U R' U2 R U R' U R F U' R U' R' R U' R U R' F2 U R U R' U' R' U' F2 R2 U' R2 R2 U R2' F2 U R U R U' R' U' F2 R U' R' U R' >F U' R U2 R' U2 R U R' U R U2 R' U' R U2 R' F' F U2 R U' R' U2 R U2 R' U' R U' R' U R U2 R' F' F R U2 R' U' R U R' U R U2 R' U2 R U R' U2 F' F R U2 R' U R U2 R' U' R U' R' U2 R U2 R' U F' --- #### PLL 組成 * [J Perm - Can you solve EVERY PLL with just ONE J Perm?](https://www.youtube.com/watch?v=j7ef-EkyHaI) Jb = R U R' F' R U R' U' R' F R2 U' R' = (R U R' F') + OLL 33 + (R U R' F')' T = R U R' U' R' F R2 U' R' U' R U R' F' = (F R U' R') + Jb + U' + (F R U' R')' F = R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R = (R' U' R U' R') + Jb + U' + (R' U' R U' R')' Ja = F U' R' F R2 U' R' U' R U R' F' R U R' F' = (F R U' R') + T + (F R U' R')' Rb = R2 F R U R U' R' F' R U2' R' U2 R Rb' = R' U2' R U2 R' F R U R' U' R' F' R2 Gc = R2 F2 R2 + Rb' + R2 F2 R2 Gd = R2 F2 R2 + Rb + R2 F2 R2 E = R U R' U R' U' R F' R U R' U' R' F R2 U' R2' U R = (R U R' U R' U' R2 U' R' U R' U R) R' U' R U' (R U R' F' R U R' U' R' F R2 U' R') R' U R = Ua + (R' U' R) + (U' Jb) + (R' U' R) = Ua + Y --- #### 兩面觀察法 ( 2-side PLL ) * [Two Side PLL Recognition Trainer](https://cubetrainers.com/plltrainer.html) * [小丸號 - PLL-神眼六格判斷介紹](https://maru.tw/solve-cube/solutions/solutions-3x3/528-pll-recognition-with-two-face) * [Mark49152 - Two-sided PLL recognition guide](https://www.speedsolving.com/threads/two-sided-pll-recognition-guide.41108/) * [Mark49152’s Two-Sided PLL Recognition Guide](http://cubing.pt/wp-content/uploads/2017/03/pll2side-20140531.pdf) * [Mike's Cube Algs - 2-Sided PLL Recognition](http://cubing.mikeg.me.uk/cubing-algs/html/2spll.html) * [Sarah's Cubing Site-2-Side PLL Recognition Guide](https://sarah.cubing.net/3x3x3/pll-recognition-guide#section/introduction) * [G Perm 2 side Recognition](https://i.imgur.com/9DPwP7S.jpg) * [PLL Algorithms: 3×3 A-Z (for all 84 angles & performance notes) – UPDATED to V1.1](https://paritycasecubing.wordpress.com/2015/07/12/pll-algorithms-3x3-a-z-for-all-84-angles/) * [PLL Algs A-Z 84 Angles v1.1_Parity Case Cubing (2015)](https://paritycasecubing.files.wordpress.com/2014/05/plls-2sr-v2-0-parity-case-cubing-2014.pdf) --- ### 中心塊旋轉 * U面順時針90°，F面逆時針90°：M' S' L' S M S' L S * U面逆時針90°，F面順時針90°：S' L' S M' S' L S M * U面轉180°：(L' R' U2 L R U)2 --- ### 常見高階技術名稱整理 #### 縮寫字母 |縮寫|英文|中文| |:-:|:-:|:-:| |O|Orientation / of|方向(顏色) / 的| |P|Permutation|排列(位置)| |C|Corner|邊塊| |E|Edge|角塊| |L|Layer / Last|層 / 最後的| |S|Slot|插槽| |F|First|最先的| --- #### 公式法縮寫 |名稱|起點|終點|公式數量/連結| |:-:|:-:|:-:|:-:| |LS<br>F2LL|最後一組Pair|簡化OLL|NA| |VHLS<br>VHF2L<br>HLS|F2L 1~4|頂層十字|[$4 \times 2^3$](https://www.speedsolving.com/wiki/index.php/VHLS) (含鏡像)| |EOLS<br>ZBLS<br>ZBF2L|F2L 1~41|頂層十字|[302](https://docs.google.com/spreadsheets/d/1s8Q2VM2c1eV3oLIxFfM4exvABO0AcCeMCUdMiYKnzC0/edit#gid=0)| |WV<br>WVLS|F2L 1~2<br>且頂面邊塊顏色皆正確|頂面顏色完成 | [$3^3$](http://algdb.net/puzzle/333/wv) (不含鏡像)| |SV<br>SVLS|F2L 3~4<br>且頂面邊塊顏色皆正確|頂層顏色完成|[$3^3$](https://www.docdroid.net/u4BO3tQ/summer-variation-pdf-2.pdf) (不含鏡像)| |VLS|F2L 1~2|頂層顏色完成|[$2^3 \times 3^3$](https://www.pubu.com.tw/ebook/206610)(不含鏡像)| |HLS|F2L 3~4|頂層顏色完成|[$2^3 \times 3^3$](https://www.pubu.com.tw/ebook/212412)(不含鏡像)| | BLE | F2L 25且頂層邊塊顏色皆正確 | 頂層顏色完成|[$3^3$](https://www.cubeskills.com/uploads/pdf/tutorials/ble-algorithms.pdf)| | OLS |F2L 1~41| 頂層顏色完成 | [17712](https://www.speedsolving.com/wiki/index.php/OLS) | | COLL | 頂面十字(7種) | 頂面顏色及角塊排列 | [$4 \times 1 + 6 \times 6$](http://algdb.net/puzzle/333/coll) | | ZBLL | 頂面十字(7種) | 六面完成 | [493](http://algdb.net/puzzle/333/zbll) | | ELL | 頂面的角塊顏色及排列接正確 | 六面完成 | [29](https://www.speedsolving.com/wiki/index.php/ELL) | | OLLCP | 頂面任意方向及排列 | 頂面顏色及角塊排列 | [331](http://algdb.net/puzzle/333/ollcp) | * 註：VLS包含WV, UF, UL, UB, UFUL, ULUB, UFUB, no edges等8種情況，每種情況有27個公式。 * 可參考： * [三階魔方速轉CFOP衍生技術簡介](http://www.i-mofang.com/i/?id=33) * https://www.cubeskills.com/tools/glossary #### MGLS方法 MGLS是說，在轉F2L轉完三個後，觀察第四個的邊塊以及頂面顏色，角塊先不看。 如果第四個邊塊位置、方向以及頂面邊塊方向均正確(十字)就沒事，如過不是的話，轉ELS(21種)可讓第四個的邊塊位置方向均正確且頂層邊塊方向正確(出現十字)，此時第四個的角塊仍可能還沒歸位。 接著，將最後一個角塊轉到離第四個邊塊最近位置後，有2(在上或在下)X3(3個方向)=6種可能(6種內包含角塊位置及方向均正確的可能)，分別命名為-, +, O, I, Im, C，其中C就是角塊位置即方向均正確的可能。 接著，轉CLS(104種)可完成底面2層以及頂面顏色，直接進入PLL。 說清楚點，CLS包含6個子集(-, +, O, I, Im, C)，而C子集中的公式其實就是一般的頂面十字的OLL。 6個子集的公式數量分別是27, 27, 27, 8, 8, 7，相加起來為104。 MGLS指的就是上述的這種方法。 用這種方法解的話，解法順序是Cross, F2L *3, ELS, CLS, PLL，共有41+21+104+21=189條公式。 * 關於MGLS可參考： - https://www.speedsolving.com/wiki/index.php/MGLS - https://www.speedsolving.com/wiki/index.php/ELS - https://www.speedsolving.com/wiki/index.php/CLS - https://cube.garron.us/MGLS/ --- ### 步數計算 * [OBTM](https://www.worldcubeassociation.org/regulations/translations/chinese-traditional/#12a5) = Outer Block Turn Metric， 每一個「最外層轉動」和「多層轉動」都算成一步，每一個「整顆方塊轉動」都算零步。 * STM = Slice Turn Metric，移動中間層算一步 * HTM = Half Turn Metric，移動中間層算兩步 * QTM = Quarter Turn Metric，轉180°算兩步 * ETM = Excution Turn Metric，一個動作算一步 --- ### 特殊轉 * [B R2 F2 B2 L2 B' D F B' L2 F B D2 L2 F2 L2 D2 B2 R2](https://alg.cubing.net/?alg=B_R2_F2_B2_L2_B-_D_F_B-_L2_F_B_D2_L2_F2_L2_D2_B2_R2&setup=U) * [F2 L' F U F U' F' L F](https://alg.cubing.net/?alg=F2_L-_F_U_F_U-_F-_L_F) --- ### 機率 * 不看其他面顏色，在做完一面時剛好做完一面+一層的機率 = 1/144 * 把一顆魔方拆開後重新隨便裝回去，可以轉回6面機率 = 1/12 #### 1. 假設只做白底十字，開始轉之前： ##### (1) * 已有剛好1個白色邊塊已在正確位置及方向機率 = 6893/47520 = 14.56% ≈ 1/6.9 * 已有剛好2個白色邊塊已在正確位置及方向機率 = 163/15840 = 1.0290% ≈ 1/97 * 已有剛好3個白色邊塊已在正確位置及方向機率 = 17/47520 = 0.036% ≈ 1/2800 * 已有剛好4個白色邊塊已在正確位置及方向(cross skip)機率 = 1/190080 * 以上4個總機率 = 29597/190080 = 15.57% ≈ 1/6.4 <img src="https://upload.cc/i1/2021/02/09/uo6PJt.jpg " style="zoom:10%;" /> ##### (2) * 已有剛好4個白色邊塊已在底面且方向正確(相對位置可能錯誤)機率 = 1/7920 * 已有剛好3個白色邊塊已在底面且方向正確(相對位置可能錯誤)機率 = 17/1980 = 0.86% ≈ 1/116 * 已有剛好2個白色邊塊已在底面且方向正確(相對位置可能錯誤)機率 = 29/264 = 11% ≈ 1/9 * 已有剛好1個白色邊塊已在底面且方向正確(位置可能錯誤)機率 = 833/1980 = 42.07% ≈ 1/2.4 * 以上4個總機率 = 4271/7920 = 53.93% <img src="https://upload.cc/i1/2021/02/09/hoj0u7.jpg " style="zoom:10%;" /> ##### (3) * 已有剛好4個白色邊塊已在底面，且方向及相對位置均正確(可能不在正確位置)機率 = 1/47520 * 已有剛好3個白色邊塊已在底面，且方向及相對位置均正確(可能不在正確位置)機率 = 85/594 = 0.14% ≈ 1/233 * 已有剛好2個白色邊塊已在底面，且方向及相對位置均正確(可能不在正確位置)機率 = 29/792 = 3.66% ≈ 1/27 ##### (4) * 在已知有剛好4個白色邊塊在底面且方向正確的情況下，其相對位置亦正確的機率 = 1/6 * 在已知有剛好3個白色邊塊在底面且方向正確的情況下，其相對位置均正確、其中2個相對位置正確、任2個相對位置均不正確機率分別為 1/6、3/6、2/6 * 在已知有剛好2個白色邊塊在底面且方向正確的情況下，其相對位置正確的機率 = 1/3 ##### (5) * 有一個2x2x2 block(不限顏色)的機率在1/31680到1/31690之間。 #### 2. 不特別做xcross或更高階作法，在做完cross後： ##### (1) * 剛好1個pair入槽機率 = 9428849/914457600 = 1.031 % ≈ 1/97 * 剛好2個pair入槽機率 = 32101/609638400 = 0.0053 % ≈ 1/19000 * 剛好3個pair入槽機率 = 149/914457600 = 0.000016 % ≈ 1/6000000 * 剛好4個pair入槽機率 = 1/3657830400 (36億分之1) ##### (2) * 4個白色角塊在U面機率 = 1/70 = 1.43% * 3個白色角塊在U面機率 = 16/70 = 22.86% * 2個白色角塊在U面機率 = 36/70 = 51.43% * 1個白色角塊在U面機率 = 16/70 = 22.86% * 0個白色角塊在U面機率 = 1/70 = 1.43% #### 3. 不特別選擇或避開任一種情形，做完3個F2L後，第四個F2L遇到的是： * 2L 1~F2L 36：機率都是2/75 = 2.67% * F2L 37~F2L 41：機率都是1/150 = 0.67% --- ## 最少步還原 (Fewest Moves, FMC) * Fewest Moves Tutorial - Solving a Rubik’s Cube with as few moves as possible by Sebastiano Tronto - [v.3.02](https://fmcsolves.cubing.net/fmc_tutorial_ENG.pdf) - [中文簡字翻譯](https://cuberl.gitbooks.io/fmccn/content/1_Intro.html) ### The Heise method https://www.ryanheise.com/cube/heise_method.html #### 1. [Build 4 squares](https://www.ryanheise.com/cube/squares.html) * [Building the 1st square](https://www.ryanheise.com/cube/square1.html) Building the 2nd square [Building the 3rd square](https://www.ryanheise.com/cube/square3.html) [Building the 4th square](https://www.ryanheise.com/cube/square4.html) #### 2. [Match the squares and orient the edges](https://www.ryanheise.com/cube/match_squares_and_orient_edges.html) * Joining the 4 squares * Orienting the edges #### 3. Solving five edges and two corners * Approach 1: Edges first * Approach 2: Two pairs * Approach 3: One pair --- ## 2x2魔方 * [Speedsolving - 2x2x2 speedsolving methods](https://www.speedsolving.com/wiki/index.php/Category:2x2x2_speedsolving_methods) * [algbd.net 222](http://algdb.net/puzzle/222) --- ## 4x4魔方 * [U2 r2 F2 (r U2')2 (F2 r F2 r')2 r' F2](https://alg.cubing.net/?alg=U2_r2_F2_(r_U2-)2_(F2_r_F2_r-)2_r-_F2&puzzle=4x4x4&type=alg) <img src="https://upload.cc/i1/2020/02/18/YjAEWK.png " style="zoom:20%;" /> --- ## 5x5魔方 * [(r2 B2) - (U2 l U2 r') - (U2 r U2) - (F2 r F2 l') - (B2 r2)](https://alg.cubing.net/?puzzle=5x5x5&alg=(r2_B2)_(U2_l_U2_r-)_(U2_r_U2)_(F2_r_F2_l-)_(B2_r2)&type=alg) <img src="https://upload.cc/i1/2020/02/18/efpHB2.png " style="zoom:30%;" /> --- ## 3x3x2 1. 拼好底層邊塊，位置必須正確 2. 拼好底層角塊，位置必須正確。公式：R2 U R2 U' R2 3. 完成頂面，類似三階的PLL，參考[此網站](http://meep.50webs.com/)。 * [小丸號 - 3x3x2 碟型方塊解法](https://maru.tw/solve-cube/solutions/solutions-special-cubes/solution-3x3x2) --- ## Square-1 * [Square-1簡易解法](https://www.davidguo.idv.tw/Cube/Square1.htm) --- ## 斜轉方塊Skewb * [Skewb系列方塊探討](http://www.davidguo.idv.tw/Cube/skewb.htm) * [Skewb series](http://e-tpd.kssh.khc.edu.tw/sys/read_attach.php?id=3723) * [jaapsch](https://www.jaapsch.net/puzzles/skewb.htm) --- ## 關於 * 編輯者：柯仲遠 清華物理系畢業 * 開始編輯日期：2020/1/22