Jimmy motions to the cube and makes those sounds a person makes when they are trying to make something seem cooler,“ Ehh eh?” He had forgotten it could do that and was now distracted from his previous plan of sneaking away.
In math, a group is a particular collection of elements. That might be a set of integers, the face of a Rubik’s cube–which we’ll simplify to a 2x2 square for now– or anything, so long as they follow 4 specific rules, or axioms.
Axiom 1: All group operations must be closed, or restricted, to only group elements. So in our square, for any operation you do—like turn it one way or the other—you’ll still wind up with an element of the group. Or for integers, if we add 3 and 2, that gives us 1—4 and 5 aren’t members of the group, so we roll around back to 0, similar to how 2 hours past 11 is 1 o’clock.
Axiom 2: If we regroup the order of the elements in an operation, we get the same result. In other words, if we turn our square right two times, then right once, that’s the same as once, then twice. Or for numbers, 1+(1+1) is the same as (1+1)+1.
Axiom 3: For every operation, there’s an element of our ground called the identity. When we apply it to any other element in our group, we still get that element. So for both turning the square and adding integers, our identity here is 0. Not very exciting.
Axiom 4: Every group element has an element called its inverse, also in the group. When thetwo are brought together using group’s addition operation, they result in the identity element, 0. So they can be thought of as cancelling each other out. Here 3 and 1 are each other’s inverses, while 2 and 0 are their own worst enemies.
So that’s all well and good, but what’s the point of any of it? Well, when we get beyond these basic rules, some interesting properties emerge. For example, let’s expand our square back into a full-fledged Rubik’s cube. This is still a group that satisfies all of our axioms, though now with considerably more elements, and more operations—we can turn each row and column of each face.
Each position is called a permutation, and the more elements a group has, the more possible permutations there are. A Rubik’s cube has more than 43 quintillion permutations, so trying to solve it randomly isn’t going to work so well. However, using group theory we can analyze the cube and determine a sequence of permutations that will result in a solution. And, in fact, that’s exactly what most solvers do, even using a group theory notation indicating turns.
From the TED-Ed Lesson Group theory 101: How to play a Rubik’s Cube like a piano - Michael Staff
Everyone is constantly being dramatic, while complaining that everyone ELSE is so dramatic or overreacting
That time Jedi kids put on a circus show for pirates
The fact that Obi-Wan once pretended to be a bounty hunter and did an obstacle course inside a giant Rubik’s cube
How often people drink alcohol especially in the Clone Wars
That time Luminara Unduli scolds Obi-Wan and Anakin to stop being in love with each other for 5 minutes so they can fight the damn war
Obi-Wan jumping out of a window
Everyone at the Outlander checking out Anakin
Everything Padme has ever worn, especially when it’s on, like, fucking Tatooine and she’s STILL all “hey check out this couture thing I got the designer to hand make for me personally”
The faces everyone on the Council makes after Qui-Gon tells them he thinks the Sith are back
Luke playing with a toy spaceship and then Anakin doing the same thing in TCW because coolness runs in their family
Obi-Wan’s face in Episode 4 when Luke is bitching about how he can’t go to Alderaan
Leia sassing off to Darth Vader at the beginning of Episode 4 (a scene which keeps getting better now, thanks Rogue One)
Vader’s Lava Castle
Maul’s Obitine-Themed Revenge Shrine
Darth Maul coming back on fucking robot spider legs and being more obsessed with Obi-Wan than even me and possibly Anakin
The Darksaber existing
The sheer number of capes, including that Krennic has a rainproof one
Obi-Wan and Anakin’s robes in the comics and Vader’s cape in the comics being about 600 times longer than they actually are in the films and somehow always in front of a wind machine
Hux’s scenery-chewing villain speech before they destroy Hosnian Prime
Obi-Wan’s Post-Jedi-Trainee-Hair Hair
Anakin’s Post-Jedi-Trainee-Hair Hair
Yoda stealing Luke’s food
Artoo fucking off mid-assignment to take a spa day in that one TCW episode
My wife Satine Kryze constantly yelling about pacifism
Chopper’s arm flails
Vader bringing up Obi-Wan in like every third line he has in the OT even after the guy has been dead for actual years
Kanan and Hera helping to run the goddamn Rebellion while raising a couple of teenage kids at the same time, one of whom is an unstable Jedi Trainee and the other of whom is a damn Mandalorian
Anakin’s Sand Soliloquy
Count Dooku having exactly zero minutes of time for absolutely anyone ever, especially in TCW
Sidious. Just…everything about him.
The fact that Bail Organa goes out of his way to mention that he’s going back to Alderaan in Rogue One JUST to cause me pain
The novelization of Revenge of the Sith
Han Solo being like “pfft whatever Old Man I fly the Millennium Falcon” with that smug ass smile on his face while talking to OBI-WAN GODDAMNED KENOBI, who is just listening to all of this with this look like “you have absolutely no idea who you are dealing with here, kid”
Prompt: Imagine the reader finding a rubik’s cube among their stuff and passing it to Spock that somehow can’t figure it out. McCoy arrives and in 10 seconds solves it. Word Count: 522 Warnings: None Author’s Note: Frustrated Spock lol
theres this girl in my class whos been carrying this 6x6 rubiks cube since the first day of school and today she finally finished it so we all started applauding n she was so overwhelmed she ended up crying
ELI5: How do people solve rubik`s cubes in <10 seconds?
Rubik’s cubes are actually solved with a formula, or simple set of rules. Once you know those rules by heart, it just becomes a matter of applying them in the most efficient way (to minimize the number of moves required) and then moving your hands very, very quickly. Those with good memories for images can actually look at the cube once then put on a blindfold and solve it from memory.
Fun fact - every possible (valid) permutation of a Rubik’s Cube has a solution which is no larger than 20 moves. This is called “God’s Number” and it took about 30 years to determine this number. Over 99% of all possible permutations require 16-19 moves to solve.