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God's Number is 20

God's Number is 20. R L U2 F U' D F2 R2 B2 L U2 F' B' U R2 D F2 U R2 U Superflip, the first position proven to require 20 moves. God's Number is 26 in the quarter turn metric! Every position of Rubik's Cube™ can be solved in twenty moves or less. One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God's Algorithm. It took fifteen years after the introduction of the Cube to find the first position that provably requires twent...

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God's Number is 20 | cube20.org Reviews

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God's Number is 20. R L U2 F U' D F2 R2 B2 L U2 F' B' U R2 D F2 U R2 U Superflip, the first position proven to require 20 moves. God's Number is 26 in the quarter turn metric! Every position of Rubik's Cube™ can be solved in twenty moves or less. One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God's Algorithm. It took fifteen years after the introduction of the Cube to find the first position that provably requires twent...

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1 new results

2 date

3 lower bound

4 upper bound

5 notes and links

6 suffice

7 is always sufficient

8 is always enough

9 partitioning

10 symmetry

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God's Number is 20 | cube20.org Reviews

https://cube20.org

God's Number is 20. R L U2 F U' D F2 R2 B2 L U2 F' B' U R2 D F2 U R2 U Superflip, the first position proven to require 20 moves. God's Number is 26 in the quarter turn metric! Every position of Rubik's Cube™ can be solved in twenty moves or less. One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God's Algorithm. It took fifteen years after the introduction of the Cube to find the first position that provably requires twent...

INTERNAL PAGES

cube20.org

1

Symmetrical Positions

http://www.cube20.org/symmetry

The two pages linked below gives the results of optimally solving all symmetric positions of the cube, first in the half-turn metric and then in the quarter-turn metric. The half-turn metric results confirm Radu and Kociemba's results; the quarter-turn metric results are new. For insight into symmetry as it applies to the cube, I can't write anything better than Herbert Kociemba's page. On symmetry and the cube. Results in the half-turn metric. Results in the quarter-turn metric.

2

Hard Positions

http://www.cube20.org/distance20s

Known Distance-20 Positions in the Half-Turn Metric. All 93,659,370 known distance-20 positions as of 18 March 2014 are available below. Calculating the symmetry of each scramble, and the various distinct positions represented, is left as an exercise. Before you download the large (11MB) file you might try downloading random10.txt. Containing 10 randomly selected, positions, or random100.txt. The data file htm.zip. Known Distance-24 or Greater Positions in the Quarter-Turn Metric. In addition, we present...

3

God's Number is 26 in the Quarter Turn Metric

http://www.cube20.org/qtm

God's Number is 26 in the Quarter-Turn Metric. U U F U U R- L F F U F- B- R L U U R U D- R L- D R- L- D D Superflip composed with fourspot, the first position proven to require 26 moves. Every position of Rubik's Cube™ can be solved in 26 quarter moves or less. With about 29 CPU-years of idle computer time at the Ohio Supercomputing Center, two researchers have essentially solved every position of the Rubik's Cube™ in the quarter-turn metric, and shown that no position requires more than 26 moves. Michae...

4

CubeLovers Mailing List

http://www.cube20.org/cubelovers

CubeLovers was a mailing list dedicated to the mathematics of Rubik's Cube and similar puzzles active from 1980 to 1999. The mailing list lives on in forum form here. In order to preserve the original fascinating material, I am making a copy of the archive here for people to peruse. The dates, authors, and titles of each posting are available in one big list here,. With each line clicking through to the message itself. The original files as made available after the mailing list shut down are listed here:.

5

Rubik's Clock

http://www.cube20.org/clock

Rubik's Clock has now been solved! Inspired by the optimal solvers written by a number of people, and Jakob Kogler's surprising proof of God's Number (12), I decided see how well a "coset solver" would work on this problem. It turns out, surprisingly well! 0 1 1 330 2 51,651 3 4,947,912 4 317,141,342 5 14,054,473,232 6 428,862,722,294 7 8,621,633,953,202 8 101,600,180,118,726 9 528,107,928,328,516 10 613,251,601,892,918 11 31,893,880,879,492 12 39,248 - - - - - - - - - - - - 1,283,918,464,548,864.

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cyoubx.blogspot.com

cyoubx says: April 2011

http://cyoubx.blogspot.com/2011_04_01_archive.html

Pervading your life with my anecdotes. Tuesday, April 26, 2011. Here Are 50 Simple Pleasures In Life For a High School Student. Good job, Sherlock. This is indeed not what I usually write about. Here are fifty things you know you find enjoyable, you just may or may not admit to them. These are the things students don't pay enough attention to. :). Seeing others do worse than you on tests. Hoping others do worse than you on tests. Getting high (presumably.). Seeing someone without friends. Getting late to...

marcrendl.wordpress.com

December | 2010 | Right on the Marc!

https://marcrendl.wordpress.com/2010/12

Right on the Marc! My take on just about anything that matters. Thanks for dropping by Right on the Marc! Take a look around and grab the RSS feed. To stay updated. See you around! Archive for December, 2010. Broadband Internet: Not ‘Unli’ After All. Mdash; 1 Comment. December 28, 2010. Internet Capping, simply put, is the application of restrictions by ISPs in order to prevent abuse of some internet users (i.e. constant use of bandwidth-heavy activities such as downloads, video streams, and P2P). My two...

shearic.blogspot.com

shearic: August 2010

http://shearic.blogspot.com/2010_08_01_archive.html

Wednesday, August 25, 2010. Go Into (Technical) Debt With Eyes Wide Open! This morning Bijan Sabet had a good blog post. On being open and honest about "technical debt". I think (and commented there) that it's important to get into such debt with your eyes open and plans for how to address it in the future. As in monetary debt, this is akin to advising not to take a loan without having a plan for how you're going to pay it back. That is, when the feature comes up that needs to utilize another technology ...

icm.mcs.kent.edu

ICM/Kent: Activities

http://icm.mcs.kent.edu/activities/index.html

8 Aug 2010) Prof. Morley Davidson of the Department of Mathematical Sciences, Kent State University says- - I'm at MIT right now watching the finals of the Rubik's Cube National Championships - the defending champ is up there doing his thing (10 second solves! Just before the finals started, I had the pleasure of personally announcing this result. To a fairly packed auditorium on behalf of the research team I've been working with.it's now about a week old, and the paper is almost ready. 2007 Special Volu...

hlavolam.maweb.eu

Rubikova kostka - intuitivní návod na složení

http://hlavolam.maweb.eu/rubikova-kostka-3x3x3

Nejen o skládání kombinatorických hlavolamů. Rubikova kostka - skládání poslepu. Je patrně nejznámější a nejprodávanější kombinatorický hlavolam všech dob. Principy jeho skládání lze použít i u mnoha podobných hlavolamů, např. Pyraminx. Na kostce je možné otáčet šesti nezávislými stěnami, z nichž každá má 3x3 = 9 polí. Cílem hlavolamu je sestavit každou stěnu z právě jedné barvy. Na této stránce najdete:. Intuitivní metoda skládání hlavolamu. Špetka teorie - komutátory. A permutace (prohození, přesunutí).

artent.net

Artificial Intelligence Blog · Uncategorized

http://artent.net/category/uncategorized

We're blogging machines! You are currently browsing the archive for the Uncategorized. Art and Artificial Intelligence by G. W. Smith. March 27, 2015. In Deep Belief Networks. Luca Cambiaso, Virgin and Child, c. 1570. Art and Artificial Intelligence. By G W. Smith, (c)2014, 2015. I mention this only to demonstrate that the field of AI is no monolithic juggernaut. To the contrary, it is a human enterprise which, like all others, has its varied approaches, and its varied successes and failures and whic...

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cube20.com

God's Number is 20

God's Number is 20. R L U2 F U' D F2 R2 B2 L U2 F' B' U R2 D F2 U R2 U Superflip, the first position proven to require 20 moves. God's Number is 26 in the quarter turn metric! Every position of Rubik's Cube™ can be solved in twenty moves or less. One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God's Algorithm. It took fifteen years after the introduction of the Cube to find the first position that provably requires twent...

cube20.org

God's Number is 20

God's Number is 20. R L U2 F U' D F2 R2 B2 L U2 F' B' U R2 D F2 U R2 U Superflip, the first position proven to require 20 moves. God's Number is 26 in the quarter turn metric! Every position of Rubik's Cube™ can be solved in twenty moves or less. One may suppose God would use a much more efficient algorithm, one that always uses the shortest sequence of moves; this is known as God's Algorithm. It took fifteen years after the introduction of the Cube to find the first position that provably requires twent...

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Rubik's Cube. Algorithms, compositions, visual simulator.

Or the Hungarian cube has drawn attention, and has received the broadest distribution. Rubik's Cube (commonly misspelled rubix, . Rubick's or rubics cube) is a Mechanical puzzle invented by Erno Rubik's.We shall try to tell about how to put in order the mixed Rubik's Cube.In 1977 Erno Rubik's most original of all puzzles was patented. Rubik's Revenge), and the 5 5 5. Accepted system of designations: sides of a Rubik's Cube are designated by letters F, B, R, L, U, D. F-r, r-u, f-d. The letter C (center).

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