2018/January/Rubiks Cube: Difference between revisions
From charlesreid1
(→Flags) |
m (Replacing charlesreid1.com:3000 with git.charlesreid1.com) |
||
| (4 intermediate revisions by the same user not shown) | |||
| Line 2: | Line 2: | ||
Rubiks cube projects and progress, January 2018: | Rubiks cube projects and progress, January 2018: | ||
* Started rubiks notes repository: https://charlesreid1.com | * Started rubiks notes repository: https://git.charlesreid1.com/notes/rubiks-notes | ||
* Started repo for investigating order of permutations: https://charlesreid1.com | * Started repo for investigating order of permutations: https://git.charlesreid1.com/charlesreid1/rubiks-cube-cycles | ||
* Learning terminology/notation needed to solve this problem | * Learning terminology/notation needed to solve this problem | ||
| Line 14: | Line 14: | ||
===blog post part 1=== | ===blog post part 1=== | ||
https://charlesreid1.github.io/4x4-rubiks-cube-part-1-representation.html | Link: https://charlesreid1.github.io/4x4-rubiks-cube-part-1-representation.html | ||
<s>Rubik's Cube: Part 1: Representation | <s>Rubik's Cube: Part 1: Representation | ||
| Line 24: | Line 24: | ||
===blog post part 2=== | ===blog post part 2=== | ||
Rubik's Cube: Part 2: Permutations | Link: https://charlesreid1.github.io/4x4-rubiks-cube-part-2-permutations.html | ||
* Introduction: Study sequences and the permutations that result | |||
* How do we represent a particular permutation? Start with n-tuple representation from prior post | <s>Rubik's Cube: Part 2: Permutations</s> | ||
* Now, when we rotate a piece, we can map the pieces involved in the rotation | * <s>Introduction: Study sequences and the permutations that result</s> | ||
* Sequential application of transformations result in new tuple, unique to cube permutation | * <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=== | ===blog post part 3=== | ||
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 resultHow do we represent a particular permutation? Start with n-tuple representation from prior postNow, when we rotate a piece, we can map the pieces involved in the rotationSequential 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
