Way Off Topic: Rubik's Cube

Morti · 2019-06-24 02:26:17

Can you solve this Rubik's Cube in 4 steps?

So, about 10 years ago I used to spend about 10 hours a week, every week, for about a year, solving Rubik's Cubes, mostly repeating the algorithm's in the little manual that comes with the cube, but also looking up solutions online. I spent a lot of time watching videos and reading stories about cubers; speedcubers mostly. I did that until I could solve a cube without looking at written down algorithms or using any sort of cube solver. Then I stopped cubing.

Fastforward to last week when I was out shopping for props, for my OHOL pictures in these two threads:
Off Topic: Any of you play KIDS yet?
and
I went outside.
and I saw a cube at a thift store and while trying to solve it there, realized I'd forgotten the algorithms for the bottom layer's cross and corners. I barely even remembered the algorithm for the sides of the second layer and gave up on the cube in the store. Well, after finding all my props my mind was still on the cube, so I bought it, for 25 cents. The cube in the pictures is that cube. I have one in storage as well, but, it was easier just to buy this cube. Besides, it was already in the arrangement I wanted to try and solve.

Well, I have been working on it for about 3 hours over the last week and I have failed to recall the algorithms for the bottom layer.
So, I looked up some videos, got a little distracted by other things and decided to just go back to my old routine of learning all over again by exploring the web for other solutions. That's when I found Grubik's, and decided to plug this cube into it just for fun to see what the solver was like. Over the course of the steps, well, almost immediately, I realized the solver wan't using the "standard" (L1&L2: white cross to side faces, L1: white corners, L2: side sides, L3: yellow cross, L3: yellow corners) algorithms to solve the cube. I knew there were other ways, speedcubers use them quite often, as do machines programmed to solve cubes.

Well, when I got to step 16 I realized I needed to visualize the cube in another way, if I was ever going to learn these new algorithms comfortably and that is when I made that third picture in MS Paint. While making it a thought about a lot of things, mostly playing OHOL as my brain just does that a lot when it wants to escape from learning too many new things these days, but that also got me thinking about you; the community of OHOL and I wondered if any of you had taken an interest in Rubik's Cubes before, or if you were interested in solving puzzles in general. I figured I'd put the state of this cube before you and see if you can solve it in just 4 moves, or, steps, as Grubik's calls them.

Now, this is my first time ever using Grubik's as far as I can recall, but , so far there have been 3 moves that count as steps:

turning a face 90 degrees clockwise,
turning a face 90 degrees counterclockwise,
and turning a face 180 degrees.

Each of those counts as one step.

Now, some speed cubers will add steps like turning layer 2, 90 or 180 degrees, but that is the same as turning the top or bottom face 90 or 180 degrees. I'm not sure if any "rules" as far as steps go, say, for competitions where people solve cubes in the least number of steps, would count moving a central layer or column, as a move or a step, but for the purpose of this challenge, since I don't know what Grubik's is going to have me do next, let's just say it's possible, but not probable.

The solution is more than likely going to require the turning of the faces.

So, can you do it?

Based on the pictures, can you tell what the next 4 steps are going to be before the cube is solved?

Now, Grubik's is currently telling me to turn the faces relative to the orientation of the cube, as seen in the fourth picture. Using words like TOP Layer, BOTTOM Layer, LEFT Side, Right Side, FRONT Side and, BACK Side. But I think it would be easier for the sake of conversation, to refer to the faces by the color of the central piece.

I'm not looking at the cube right now, but let's just say some examples of moves would be

Blue 180
Red 90 clockwise
White 90 counter clockwise

or, to be more concise, something like
red
might just be red 90 degrees clockwise
red cc
would be red counterclockwise
and red 180, or even, red 2
might be a 180 degree turn of the red face.

Any sort of notation that makes sense to you, you're free to use.

Probably the most common notation used are single letter ones for the side, based on an orientation, or for color, and the counterclockwise of that is noted with a prime, or colon mark '
So, the face colors would be
White W
Yellow Y
Red R
Orange O
Green G
Blue B

So, W R W' would be White face turned 90 degrees clockwise, red face turned 90 degrees clockwise, white face turned 90 degrees counterclockwise.

Worth noting people also, more often it seems, use the notations for sides in algorithms. Those are
Top T
Bottom B
Left L
Right R
Front F
Back... oh wait

Bottom is usually Down D and Back is B.

T D L R F B, yeah, that's more like it. Anyway, that assumes you are holding the cube so that the faces are always in the same orientation, which can be useful.

--

Okay, well, in the time it took me to type all this, Grubik's has cleared my cube, so I'm just going to close that and see if I can solve the last 4 moves on my own. Feel free to join me and chime in on your experience with cubes, with 3D visualization or with any memory devices or techniques you use to get yourself through solving cubes.

Everyone has different degrees of spatial awareness and I'm always interested in finding out to what degree different people grasps puzzles like Rubik's Cubes or how your degree of spatial awareness helps you elsewhere.

Sidenote, spatial awareness is really handy when playing OHOL without any sort of zoom modification. If you use a mod and would like to enjoy that challenge again, I suggest playing without one for a life or two. It's a really enjoyable experience to have to put more things to memory, in their directions relative to other things, as well as to move among all those memories.

Our brains are really amazing, enjoy using them, for all they can do.

Morti · 2019-06-24 02:53:58

Morti wrote:

noted with a prime, or colon mark '

PS
This ' is an apostrophe
This : is a colon
This , is a comma
This ; is a semicolon

BUT THIS `is a prime
also this ~ is a tilde, it's pronouned til-duh

The prime symbol, ` is below the the tilde ~ on the key above the tab...

--

(Why am I making such a big deal over this?)

See if you can solve the cube, and let me know if you do.

No rush, just think about it, and if you can solve it, translate your thoughts to text and share them.

I'm more interested in getting you to think about it, you using your spatial awareness and solving it, and you communicating that thought process. If I only wanted the solution, I'd have clicked next 2 hours ago and been done with it.

Even if you don't respond with a message, think about it. How easy is it for you to solve it, if you can?
Feel free to put the info into grubiks, in the state it's in, if it eats at your brain for too long, but honestly, your brain could probably do without an easy solution provided by the internet once in a while. I suggest letting it stew in your head for a night if you can't figure it out. Then, if it's not easier to solve tomorrow, do as you like.

Morti · 2019-06-25 07:26:42

Firstly, I was wrong about the common notation, seems most people don't use T for Top or B for Bottom. Most seem to use U for Up and D for Down, that leaves B for Back and F for Front. I suppose R for Rear would just get confused with R for Right, and there aren't really good substitute words for Left and Right. So, most notations use F R U L B D, F' R' U' L' B' D' and F2 R2 U2 L2 B2 D2.

Secondly, the move I was trying to describe

steps like turning layer 2, 90 or 180 degrees, but that is the same as turning the top or and bottom face 90 or 180 degrees.

that is called a slice, and there are 3 types of slices; equatorial, middle and standing. Equatorial is moving the layer between Up and Down layers, middle is moving the layer between Front and Back and a standing slice is moving the layer between Left and Right, but none of them are used by grubik's in the last 4 steps. The world of speedcubing notations get's pretty deep. I'll spare you the rest of that. Speaking of grubik's though...

Blue 90 Clockwise
Orange 180
Green 90 Counterclockwise
Orange 180

So, the algorithm might look something like
B O" G' O"
If we were to use the core's central piece's colors as notations for sides.

But why? Why was that the solution?
Well, looking around the cube in the state it was at before any of those steps, a few things stick out, but one seems to be the most important; that central vertical, or standing, layer is solved.

So, that is why we get the blue and green quarter turns combined with the two O" moves. Each 180 degree turn of the orange face swaps the edges of orange/blue and orange/green.

Another way to look at this might be, which pieces are out of place?

First, let's keep in mind the faces never change, not even if a slice is performed. Standard colored cubes will always have white and yellow faces opposed to one another, as well as green and blue and red and orange opposite each other. There is no move you can do to the cube to change that.

So, a piece is in place when the colors on it's sides are in line with the colors of that side. Sometimes pieces can be in the right position, but not oriented properly, such as red and white side piece, with the red side of the piece on the white side of the cube, and vice versa, but for the sake of this solution, I'll just say they are in the right place when their locations AND orientation are correct.

So, besides the four side pieces in that standing red/white/orange/yellow layer, which other sides and corners are in the correct place?

Okay, that was a pain in the ass. BUT, we did learn something. There are 4 other pieces that are in the correct positions, 3 corners; WOG, WOB and GOY corners and the Green and Orange (GO) side. So that whole GO edge from the white to yellow corner, is good, as well as the blue white and orange corner piece.

Now, I'm staring at this BOW corner piece and I find it interesting that the next 4 steps not only keep it on the orange layer, but they return it to it's exact position and orientation. The first rotation of the blue side, flips the white side of the piece up onto the orange side, bringing it over to the BOY corner, then we rotate the orange side 180 degrees, bringing it over to the GOY corner, then we rotate the green side 90 degrees counterclockwise, taking this corner piece over to the GOY corner, and the orange layer, the orange face, is done. Orange just needs to be rotated 180 degrees so that the yellow and white swap, along with the green and the blue.

This is one of those algorithms I recall for solving the corners of the final layer, in this case the orange face is acting as that layer.

This is pretty a pretty common last step in the standard, or, beginner, method for solving a cube. It's useful once you've gotten 1 of the corners of the last layer in place, but need to change around the other three corners. I don't know if that was exactly the same move, but, it reminded me of it.

--

It really is a strange thing, getting your mind into the state where you can understand the mechanisms of a Rubik's cube. Watching pieces move around, as that corner did in the last 4 steps - it'll change the way you look at things, if you let it. It's a very unusual and, unintuitive, type of motion. Things in nature don't work like this. Joints don't work like this. Plants don't bend, twist and flip, quite like this.

It's also very tempting not to touch that piece. Since, it's in the right place from the start. I think that is another sort of, lesson, that we can learn from Rubik's cubes; maybe that just because something seems right at first, doesn't mean it won't have to change with other things, in order for everything to be right. Maybe that is a lesson you can take away from this, that you can apply elsewhere in life. Maybe to some deeply held belief, or, to a routine in your life? Of course, you don't want to do that with just anything. You have to know enough about the whole to know that changing that one thing, will make more things even better, and not worse. But then again, how bad can things really get due to such changes? As individuals, we may not have a lot of influence on the world, but some of us aren't just individuals, some of us, are leaders.

And with that in mind, I bid this thread farewell for now.

My apologies if I didn't explain as much as you wanted, if you wanted more. I encourage you to get into cubing though - revisit it if you have before, or, give it a try, if you haven't. Even if you don't want to buy a cube, there are a lot of digital versions of it, but, I can assure you, there is no comparison for holding one in your hands.

Good night.

Morti · 2019-06-25 07:39:50

...then we rotate the orange side 180 degrees, bringing it over to the GOY GOW corner,

I've never been a fan of proofreading.
Forgive the occasional mistakes you may be so inclined to find, in other's works.
But do, point them out when you see them.
History is full of them, and they can often turn into whale's tails, if they aren't reeled in before they get away from us.

Spoonwood · 2019-06-25 12:06:40

Wouldn't like a subreddit devoted to Rubik's cubes be a more likely place to find someone who has an interesting response for you?

Morti · 2019-06-25 14:59:58

Spoonwood wrote:

Wouldn't like a subreddit devoted to Rubik's cubes be a more likely place to find someone who has an interesting response for you?

This community lacks variety.
Go to a forum for a game like Dwarf Fortress and you will find

Threads on Buying Glasses
Threads for Cooking
Threads for hundreds of board games.
Threads for thousands of other video games.
Threads for people who are drunk.
...
There are over 4.6 million posts alone, in over 160,000 different threads.
A large number of them having absolutely nothing to do with the game except for the fact that the person making the post, just happens to also, more than likely, play DF.

This is something that we lack, a connection as human beings that is above and beyond the scope of the game.

So much on this forum consists of
Players griping about each other.
or
Players griping about Jason.
or
Players griping about the game.

With the occasional positive story mixed in for fresh air, but it's only a positive story, that took place in the context of the game.

We are not sharing our lives with each other.

We are not sharing our hobbies with each others.

We are not sharing ourselves, with each other.

Because we are not finding more positive ways to connect with one another, the game, which requires a community of players to function on any appreciable scale, is going to stagnate, because our relationships with each other, will stagnate. I don't want that to happen to something I care this much about. I don't want that to happen to something I've put so much time into.

Seeing this community shrink, is like seeing your daughter starve to death when she is 14.
See, I couldn't say that to a Rubik's cube reddit and it mean the same thing, I couldn't say that anywhere else but here, and you know from experience, what I mean.

I don't want to talk to some strangers on a reddit board, I want to talk to those of you I have been playing this game with for over 2,000 hours. I want to set an example that you can follow, that you can be yourselves, and get to know each other as real human beings, with all your quirks and questions that come with you.

In a way, we are like employees at the same company, and a thread about cooking lasagna, or solving a Rubik's cube, or about raising a son with autism. Maybe we don't have permanent characters in the game like people in other MMOs have, but that shouldn't keep us from having each other, in whatever ways we choose to share ourselves. It certainly would help to alleviate a lot of the stress I see here, and it might just attract a lot more people who would feel comfortable playing with us and helping us to build parks and nurseries and engines together.

It certainly wouldn't hurt the game if we cared more about each other and we knew that more of those people making pies, searching for iron and killing snakes, were doing so, because they cared about us too. That they cared that were more than just avatars on the boarders of NPCs, but that each of us, might very well be, someone we care deeply for, because we connected on several other levels, as people.

I made this post for a lot of reasons, but perhaps the most important one was, because I was thinking about you. I was thinking about everyone here, everyone that is a person that has enjoyed playing this game, so much, that they felt the need to come to this forum, and to communicate with each other.

I see comments quite often where people are not talking about the game, so much as they are talking about each other, as people, on this forum, and elsewhere on the internet, and are insulting them, for all sorts of things. And not in the sort of way family members speak to each other, but more in the sort of vein that drunks who aim to hurt each other, speak outside of a bar.

It's not a very good sign, unless, you see the lack of something, as a vaccum, that might bring it in. I mean, it's kinda like thinking by making a Jupiter sized, negative magnetic pole, you're going to get a Jupiter sized magnetic field, from the Earth. It's just not going to happen, there just isn't enough field strength and besides... you know what, maybe this isn't the best analogy? I trust you get the point though.

You know, there is only so much time, a person can devote, to anything in their lifetime. If any game community understands that, it's going to be us. So, while Jason works and the game itself, it's really up to us, to work on the community side of all this.

And sure, right now, there may not be a whole lot to this game, compared to so many other projects out there, but for now, it's alive, and so are we. Maybe it's about time some of us bring a little life to this forum? Maybe someone that really grows gooseberries, would be a little more inclined to share their story with us? Maybe one of us is actually a baker in real life, and could make and give their opinions on, what a real mutton, berry and carrot pie tastes life. Maybe one of us restores antique engines, and would just love to share their thoughts on the process as it's portrayed in the game, but just doesn't see that the community is diverse enough to welcome such an endeavor.

You know though, what I'd really like to see more of on this forum, actual moms, talking about their kids. Giving each other tips and support on things like changing diapers, vaccinations, circumcision, abortion, what it was like for them to recover after their child died shortly after birth. Real things that real mothers, and real fathers, have had to experience. I want everyone, to be comfortable talking about anything to one another. I want young women who play the game, to read stories about menopause, as older women joke about dealing with hot flashes. I want to read stories from mothers who had entire hospitals on standby, as they tried to deliver quadruplets.

Just, anything, anything more than the same suggestions and complaints people have been making since I started playing this game last year. So much here is monotonous, and so much of that monotony has turned so many people away. People all of you could have learned a wealth of information from, by just getting to know them.

We're not in the game here. We have more than an hour to convey our thoughts. We have thousands of lives worth of time, to get to know the one person, each of us are and to spend this one life with each other.

Limiting this one opportunity, to just talking about the game, would be like limiting the game, to drawing a card from a deck, when there is so much more, to it, and to us.

--

The Rubik's cube is a very small part of my life, but it's an interesting puzzle, I think it would also be something challenging to try and include in a game. Sure, maybe a game more like Myst, or, even Minecraft, but Jason managed to put a deck of poker cards into the game, even if it doesn't function perfectly like a real deck would, it's still a pretty impressive feat.

But that is another interesting thing about this community, many of the people that pass through here, are also game designers, and no doubt do some of them come here, just to get ideas for other games they may be considering. No doubt Jason has drawn a lot of inspiration from other games in much the same way.

--

I'd just like to see more variety on this forum, for the sake of everyone's sanity.

Welcome more, to the community, not less.

I bet you there are some equestrians out there would would love to play this game and share their thoughts on the behaviors of real horses. Some of them may also be looking for advice on how to raise kids. Maybe they had a Rubik's cube growing up, but never managed to solve it, and this thread will give them the inspiration to pick one up and have a go at it again. Maybe they experience the joy of solving it for the first time and that memory is forever tied to Jason, this game, and this community.

We just don't know, until we try, what, may come of our actions. But we can put, all sorts of good information across this forum, and you better believe that people from all walks of life, will happen upon it, and their lives will forever be changed, that has been the nature of forums since at least, AT LEAST, the first year I used the internet in 1989, and it certainly became that with the web, shortly thereafter... if not before, I don't know, first time I used a web browser was winter of 91/92. It was so nice not having to change protocols... when so many things were in one place. That's where the people went, to web. To share pictures, documents, music, games, about all sorts of things, all the pages with their own unique take on subjects.

Variety is the spice of life.

You caught me at a strange time of the day, I'm pretty tired. If I assumed too much, as we all often do, feel free to let me know.

I appreciate the suggestion though, if it were people who all came together just to talk about cubes, I may have a harder time finding one of them that also plays OHOL. But I think I've spent more time playing this game, just over the last 2 years, than I have holding a cube over the course of my entire life. I'm a little more comfortable being here, than anywhere else, at this time in my life. Someday that'll probably change and I'll regret it, the way we do all changes, that involve distancing ourselves, from the ones we've come to know and love. But near 30 years of this, and I've both, gotten used to it, and perhaps grown a little tired, of watching communities dissolve, and losing touch with people I didn't know I'd miss, until they were gone...

Gone...

gone.

jasonrohrer · 2019-06-25 17:23:29

I can solve 3x3. My best time is 1:21, I think.

I can also solve a colorless "mirror cube", which is a 3x3 where the cubes are rectangular solids of different dimensions (so when solved, it's a cube, but when unsolved, it's a lumpy alien artifact that looks impossible to parse visually). Exactly the same as a 3x3, but to an outsider, it makes you look like an insane wizard when you solve it.

I have this one:

https://cubezz.com/Buy-4820-YuXin+Mirro … +Blue.html

(Also, ordering top-notch cubes from cubezz.com, including shipping (free) is cheaper than getting them from the thrift store... this is the 3x3 that I have and love:

https://cubezz.com/Buy-4420-YJ+YuLong+3 … lored.html

I've studied 4x4, and learned it once, but never kept doing it to master it.

There are actually a few puzzles that can be solved intuitively without algorithms (even 2x2 rubicks cubes require algorithms):

https://cubezz.com/Buy-5892-QiYi+Mofang … less+.html
https://cubezz.com/Buy-5336-MoYu+Redi+C … rless.html

jasonrohrer · 2019-06-25 17:25:24

(I guess this was part of my midlife crisis.... like stuff I never learned to do in my youth. Within the past few years, I also learned to juggle, and learned to fly RC planes and racing drones.)

Jojigirl · 2019-06-25 20:37:06

Morti wrote:

Threads for people who are drunk.

My type of thread!

I do agree, more "Off topic" threads would be nice. Having is own sub forum on here would be even better.

Morti · 2019-06-25 22:28:13

jasonrohrer wrote:

(I guess this was part of my midlife crisis.... like stuff I never learned to do in my youth. Within the past few years, I also learned to juggle, and learned to fly RC planes and racing drones.)

I was a pretty bad trouble maker in my youth. Everyone tended to turn me over to authorities, to the point where I started to enjoy the company of police and didn't really mind causing more problems, probably the opposite of the desired effect.

Well, one of my math teachers in Junior High, Mr. Abrams, my 7th grade pre-algebra teacher, decided rather than have me come to class after school, to work on homework and just stay there for an hour no matter what I did, as punishment, well, he asked me if I've ever tried to juggle before. Well, a month later and I was staying after school with him an hour because I wanted to learn how to juggle. He taught me the most important thing about juggling; learning to juggle one ball at a time. Only after I got the motion down of that one ball, did he teach me how to juggle two. And only after I'd learned two, did I move onto 3.

I'd been trying to juggle my whole memorable life before then, and no one ever told me the simplest things about juggling, so that I could manage to do it right. I could just imagine where 5 year old me would be now, if I hadn't dropped so many things in front of the girls I've tried talking to throughout my life. Probably wouldn't have hurt my confidence in other areas of life, either.

I've never flown an RC plane or a drone. The ones I looked at were always too expensive. I say that, but then, 15 year old me bought 3 moxes (sapphire, jet and pearl) for 350 dollars with my paper route money, instead of buying the black lotus, and went on to spend thousands more on packs, starters and cards from Antiquities, Legends and Arabian Nights, not because they were of any use in a deck, but just to have them.

Probably spent nearly as much on Atari 2600, NES, SNES and N64 games over the course of my youth, buying and renting them, but I also stole thousands of dollars worth of cartridges from the K-mart, Circus World, Kay-bee Toys and Western Auto, as well over the course of that time - really wish I'd known a father growing up.

My mother did buy me a radio controlled hovercraft for Christmas one year though.

That's the one.

Turns out the rubber bladder of the Typhoon didn't fair so well in the frigid cold of Michigan, out on the ice of Lake Huron. It tore after a week and I just remember the smell of the fans after that, and the air leaking from the bladder. No idea what happened to it after a year of sitting in the bottom of my toy box.

By 1:21, I assume you mean 1 hour and 21 minutes? If not 1 day and 21 hours. I had my time down to under 6 hours, ten years ago. Really, I just wanted to solve the cube on it's own by the end of that endeavor, I spent more time watching speedcubers than solving it myself. And of course the hobby of watching interesting things, can quickly translate into... watching other things.
I suppose 1 minute and 21 seconds would be a reasonable time, I mean, you're showing me all these Chinese cubes that speedcubers use, so, either you're an observant fraud or you sincerely practiced till your time was that low.

Assuming you've made all the games you say you've made, and done the other things you've done, thanks to your start in life, I suppose it's not too hard to imagine you've had the time to get down to a minute 21. Trust is a difficult thing do earn, Jason, so is whatever the antonym of jealousy is. But skepticism, I think that comes naturally for most of us. Given the numbers the almanacs claim to be religious around the world, I could be wrong about that.

Skepticism is fine, but without time and patience, and the temperance that comes with good relations, it quickly turns to cynicism. I know I am guilty of being cynical in the past. I have failed to be the character I've strived to be in this game, many times. I've failed to come off as the person I've wanted others to know me as in the past. But I've tried to keep my mistakes public, so that others know that I too, am a human being, as we are.

I may have said to you in the past, I wish we'd know each other growing up, if I didn't it's something I've wanted to say. But in hindsight, that probably wouldn't have been good for either of us, seeing as how so many of my friends of the past, are not friends of the present.

--

I hope, for the sake of your friends, family and community, that you are not yet at midlife. I'd like the world to know you as some 90 year old man, who is famous for things he did throughout his time. I want you to know life, as a great grandfather. To be remembered as the kind of man all your descendants have no reluctance to come to for support, advice and wisdom.

--

I appreciate the links to recommended products cubing hasn't really been about any of those for me, but I know they are for others. Maybe if I had grown up nearer a larger city, or even been exposed to more information about those sorts of things, I'd have taken them up and would now be more inclined to revisit them. in a small town, you take the friends you can get, and the hobbies their parents pass down, or pick up, at the local K-mart, become your hobbies. There weren't a whole lot of parents, encouraging kids routinely to get into things I'd consider intellectual pursuits. Instead most of us were just sat in front of cable televisions where we were exposed to violence and crime, and we emulated those actions, in our own ways, as kids do.

As we do.

I have no doubt many of you have experienced worse upbringings than me, as I have no doubt the others have experienced better. But you can read this now, and that means some people did the right things for you, at least, as far as teaching you to read. Don't forget about the good things. Fix the problems of now, sure, as people, as life, has done since it's dawn, but do so for the benefit of what makes humanity great. Maybe even do so, for what can make us greater, greater than the Sun itself, for all walks of life, that spring from this world.

--

Wish I could have just talked about cubing. Too late for that now, huh?

One Hour One Life Forums

#1 2019-06-24 02:26:17

Way Off Topic: Rubik's Cube

#2 2019-06-24 02:53:58

Re: Way Off Topic: Rubik's Cube

#3 2019-06-25 07:26:42

Re: Way Off Topic: Rubik's Cube

#4 2019-06-25 07:39:50

Re: Way Off Topic: Rubik's Cube

#5 2019-06-25 12:06:40

Re: Way Off Topic: Rubik's Cube

#6 2019-06-25 14:59:58

Re: Way Off Topic: Rubik's Cube

#7 2019-06-25 17:23:29

Re: Way Off Topic: Rubik's Cube

#8 2019-06-25 17:25:24

Re: Way Off Topic: Rubik's Cube

#9 2019-06-25 20:37:06

Re: Way Off Topic: Rubik's Cube

#10 2019-06-25 22:28:13

Re: Way Off Topic: Rubik's Cube

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