2018/January/Rubiks Cube: Difference between revisions

Latest revision as of 03:10, 9 October 2019

projects

Rubiks cube projects and progress, January 2018:

Started rubiks notes repository: https://git.charlesreid1.com/notes/rubiks-notes
Started repo for investigating order of permutations: https://git.charlesreid1.com/charlesreid1/rubiks-cube-cycles
Learning terminology/notation needed to solve this problem

blog post

Blog post plan:

~~Notes on how the Rubiks Cube works and how to represent it with a 96-tuple (hint at square redundancy)~~
Notes on permutation notation and factoring into pieces, with intention of writing cycles, LCM

blog post part 1

Link: https://charlesreid1.github.io/4x4-rubiks-cube-part-1-representation.html

~~Rubik's Cube: Part 1: Representation~~

Introduction: purpose, group theory, experiments, uncover behavior

How does the Rubik's Cube work - pieces, colors, and faces

Computer representation of a Rubik's Cube

~~Tuple representation of a Rubik's Cube~~

blog post part 2

Link: https://charlesreid1.github.io/4x4-rubiks-cube-part-2-permutations.html

~~Rubik's Cube: Part 2: Permutations~~

~~Introduction: Study sequences and the permutations that result~~
~~How do we represent a particular permutation? Start with n-tuple representation from prior post~~
~~Now, when we rotate a piece, we can map the pieces involved in the rotation~~
~~Sequential application of transformations result in new tuple, unique to cube permutation~~

blog post part 3

Rubik's Cube Part 3: Cycles

Introduction: studying behavior of cycles and predicting order of move sequence
Intercalation product
Factoring a permutation using Theorem A
Factoring Rubik's Cube permutations
Least common multiple and order
Caveats

Flags

@@ Line 1: / Line 1: @@
+===projects===
 Rubiks cube projects and progress, January 2018:
-* Started rubiks notes repository: https://charlesreid1.com:3000/notes/rubiks-notes
+* Started rubiks notes repository: https://git.charlesreid1.com/notes/rubiks-notes
-* Started repo for investigating order of permutations: https://charlesreid1.com:3000/charlesreid1/rubiks-cube-cycles
+* Started repo for investigating order of permutations: https://git.charlesreid1.com/charlesreid1/rubiks-cube-cycles
 * Learning terminology/notation needed to solve this problem
+===blog post===
+Blog post plan:
+* <s>Notes on how the Rubiks Cube works and how to represent it with a 96-tuple (hint at square redundancy)</s>
+* Notes on permutation notation and factoring into pieces, with intention of writing cycles, LCM
+===blog post part 1===
+Link: https://charlesreid1.github.io/4x4-rubiks-cube-part-1-representation.html
+<s>Rubik's Cube: Part 1: Representation
+* Introduction: purpose, group theory, experiments, uncover behavior
+* How does the Rubik's Cube work - pieces, colors, and faces
+* Computer representation of a Rubik's Cube
+* Tuple representation of a Rubik's Cube</s>
+===blog post part 2===
+Link: https://charlesreid1.github.io/4x4-rubiks-cube-part-2-permutations.html
+<s>Rubik's Cube: Part 2: Permutations</s>
+* <s>Introduction: Study sequences and the permutations that result</s>
+* <s>How do we represent a particular permutation? Start with n-tuple representation from prior post</s>
+* <s>Now, when we rotate a piece, we can map the pieces involved in the rotation</s>
+* <s>Sequential application of transformations result in new tuple, unique to cube permutation</s>
+===blog post part 3===
+Rubik's Cube Part 3: Cycles
+* Introduction: studying behavior of cycles and predicting order of move sequence
+* Intercalation product
+* Factoring a permutation using Theorem A
+* Factoring Rubik's Cube permutations
+* Least common multiple and order
+* Caveats
+===Flags===
-==Flags==
+{{RubiksFlag}}
 [[Category:2018]]
 [[Category:January 2018]]