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top 200 commentsshow all 329

[–]reelaizer 233 points234 points ago

[–]Azeltir 76 points77 points ago

The Turk's version is so much prettier.

[–]kristianur 38 points39 points ago

None of them are any good if they don't start from the knights starting position.

[–]poopshoes 57 points58 points ago

The Turk can be completed from any point on the board.

[–]kristianur 29 points30 points ago

yes of course. Stupid me.

[–]RandomExcess 1 point2 points ago

source?

[–]French_lesson 11 points12 points ago

A tour visits each square. As such you can start from any square.

[–]Chimp711 27 points28 points ago

Only if it is a "closed tour" where the last move leaves the piece able to move into the first spot. OPs gif is not of a closed tour, therefore it does matter where it starts. The Turk's version, however, is closed.

[–]Terran4Now 6 points7 points ago

The point of the Turk's version was that it was a closed loop; the ending square was one legal move away from the beginning square so it could be started anywhere.
but there are many solutions that are not closed loops, and if you start in the middle, it won't work; you'll get to the end and not have a legal move that will continue the path.
http://www.mayhematics.com/t/history/1b.htm

[–]greatgodpan 0 points1 point ago

I disagree. I like the other's symmetry more. JMO.

[–]SerTapsaHenrick 1 point2 points ago

I wish that version was a gif.

[–]sumdog 9 points10 points ago

I remember the 9 Queens problem back in Uni, but never this similar one with the Knight. Very cool.

[–]pushbak 3 points4 points ago

8 queens?

[–]sumdog 8 points9 points ago

8, 9 whatever. (Really n-queens problems on an n x n chessboard. There's a great xscreensaver that shows solutions for it too)

[–]FeculentUtopia 4 points5 points ago

They had that one in the 7th Guest PC game, way back in the day. Man, that game was sweet.

[–]mysticrudnin 17 points18 points ago

And apparently I learned that heuristic trying to solve the several Knight's Tour puzzles from Professor Layton

[–]IsaacTM 5 points6 points ago

To solve the final chess question, I took out a piece of paper and mapped out all the possible positions. Took me forever but I felt badass (as badass as you can feel playing Professor Layton) when I solved it on my first guess.

[–]Splitshadow 4 points5 points ago

I independently derived the same principle in my intro CS class for an n by n knight's tour program.

[–]BruceChalupa 2 points3 points ago

I'm glad I wasn't the only one.

[–]ScienceYouMonster 2 points3 points ago

FUCK YEAH PROFESSOR LAYTON

[–]larkeith 7 points8 points ago

Thank you!

[–]GaryDuder 1 point2 points ago

I was going to ask if there was a mathematical way to figure out all the different ways/routes this is possible, and indeed it is described in the Wikipedia article you have linked. I looked at it. I looked at it, and then I realized this: I am not smart enough to understand that. So tell me something, Mr. Reelaizer, why would my brain trick me like that?

[–]Cronusd 1 point2 points ago

"On an 8 × 8 board, there are exactly 26,534,728,821,064 directed closed tours" Pretty mind blowing

[–]TheSelfGoverned 1 point2 points ago

"On an 8 × 8 board, there are exactly 26,534,728,821,064 directed closed tours"

...

[–]thriiihouse 44 points45 points ago

Giantbomb. "The Testament of Sherlock Holmes."

[–]mintyice 18 points19 points ago

I came here to say this. Looks like someone watched Giant Bomb today...

[–]Minifig81Nyanyanyana[S] 13 points14 points ago

Guilty as charged.

[–]nytrik 5 points6 points ago

I fucking knew it.

[–]nutellaandcigarettes 5 points6 points ago

I was like "oh, you watched that today too".

[–]whyufail1 2 points3 points ago

Watching this part as I type and had to come back to verify this. Knew it couldn't be a coincidence!

[–]AlexCail 24 points25 points ago

im sure he could do it twice.

[–]TheFr1nk 5 points6 points ago

I'm sure he could also not visit every square. (Having been taken or not used so much) thus not being "exactly once"

[–]AlexCail 4 points5 points ago

Title was just a bit miss informing and i was poking fun.

[–]TheRookIsGod 42 points43 points ago

pfft, the king, rook, and queen can do this too.

[–]TheOthin 31 points32 points ago

For the really skilled players, so can the bishop.

[–]microfortnight 3 points4 points ago

and if you cheat, the pawn works just as well.

in really long chess games, I like to introduce a new piece: "the checker" and it can do anything at anytime and is used to win the game when you want your opponent to go home so you can sleep.

[–]crabsmash 109 points110 points ago

That would make a nifty tattoo for a chess nut.

[–]original_evanator 156 points157 points ago

Are you from the future, where they have animated tattoos? Tell me this, do the Foo Fighters get back together?

[–]crabsmash 82 points83 points ago

Yes and yes. The answer to your next question is no.

[–]CommentsAndShit 46 points47 points ago

Am I going to be lonely my whole life?

Scooooore

[–]awesomeck 4 points5 points ago

Then the answer would be: No you will be lonely your whole life

[–]gkow 31 points32 points ago

For the live of god who is Ted's wife?

[–]MrVonBuren 4 points5 points ago

Wait, what? I just saw the Foo Fighters in Central Park on Saturday.

[–]skinnyfish_2 2 points3 points ago

We actually have animated tattoos now, I'd find you a link but I'm lazy and that sounds like too much hard work.

I think they insert a flexible screen type thingo under your skin and you have scan it to change your tattoo. I do believe it could do simple animation.

[–]Splitshadow 7 points8 points ago

Which one?

There are 26,534,728,821 such knight's tours such that the knight ends at the same location he starts.

If you got rid of the closed tour rule, the number of tours would be finite but absurdly large.

(The upper bound is 2.208 * 1024 for an 8x8 board, that's more than 7 times the number of stars in the universe)

[–]McBurger 5 points6 points ago

Wikipedia just said it is unknown exactly how many knights tours exist!

But you seem so sure of your answer!

I do not know who to believe!

[–]Splitshadow 6 points7 points ago

There is a known number of closed knight's tours, that is, knight's tours where the knight ends on the same square he began.

The number of general knights tours is unknown, (despite my best efforts in study hall in the 12th grade) but there is a proven upper bound, in other words, "there can't be more than this many."

[–]narpas 4 points5 points ago

Which one? There are 26,534,728,821 such knight's tours such that the knight ends at the same location he starts. If you got ridJUST PICK ONE AND TELL PEOPLE ABOUT IT WHEN THEY ASK

[–][deleted] ago

[deleted]

[–]Randamba 3 points4 points ago

They sure do get roasted a lot though.

[–]ON3i11Cosmic 80 points81 points ago

Am I the only one who noticed... That's not where the knight starts...?

[–]madroxinide 33 points34 points ago

So pick any of the 4 "points" and continue on from there? :\

I don't think it matters where it starts. Does it?

[–]zapfastnet 5 points6 points ago

if you are playing chess it does. I was wondering if this was a path to the king. zaphod's link in reply to ON3i11 shows one example where you could start the night from the nights position and do the tour via a different pattern..... and woah dude! the mechanical turk!

[–]zaphod_85 5 points6 points ago

[–]ON3i11Cosmic 4 points5 points ago

So it's more of a math problem and not something that would happen in a reasonable game of chess?

[–]zaphod_85 8 points9 points ago

Oh, most certainly. I don't know a whole lot about chess, but I think you'd be hard-pressed to find a legitimate use for performing a knight's tour in an actual game.

[–]ON3i11Cosmic 3 points4 points ago

In that case I no longer have a problem with this .gif.

[–]Bic823 4 points5 points ago

Chess is full of stuff like this. The extremely specific ruleset and defined "map" basically allows chess to become a giant math problem. It's why computer programs can be so good as to beat the greatest human opponents.

[–]ON3i11Cosmic 2 points3 points ago

And that's why there is a math class in my high school called "Chess 12" (Grade 12 math class).

[–]load_more_comets 35 points36 points ago

The question is, was that designed into the game or a happy woah?

[–]WeLoveKanjimari 45 points46 points ago

It's just a matter of geometry. I really, really doubt the game was designed so that one of the more awkwardly-moved pieces could, if you ever needed it to (hint: you never need it to) visit each space without ever touching the same space twice.

[–]delabass 39 points40 points ago

So you're saying there's a chance?

[–]aerosol999 4 points5 points ago

I just want to know who figured this out and how.

[–]xyroclast 9 points10 points ago

Probably a bored person with a chessboard

[–]tdyo 5 points6 points ago

Is it any more designed into the game than the rook, queen, and king also being able to do it? It's a happy woah.

[–]iamnickiminaj 6 points7 points ago

Not a recommended chess strategy

[–]Jsouth9001 14 points15 points ago

Is it just me or does that make a swastika...

[–]Kreivi 3 points4 points ago

It's no wonder it's such a big symbol. It seems to pop up everywhere like magic.

[–]another-work-acct 2 points3 points ago

So now I know how this came about.

[–]to11mtm 2 points3 points ago

This was actually the end 'boss' in Return to Zork. Freaking hard if you didn't plan it out, because you had the added challenge of someone who could move to 'block' you and you had to visit each space once (Except the spaces you and your opponent are on)

[–]a_Dolphinnn 2 points3 points ago

And it kind of makes a swastika

[–]KurtAlder 10 points11 points ago

Who the fuck is the knight...? Ninja edit: ohhh horse

[–]ice_ent 37 points38 points ago

lol kids these days

[–]KurtAlder 0 points1 point ago

I'm not a kid, where I live we refer to this piece as the horse.

[–]prplhazeCosmic 12 points13 points ago

YOU! YOU ARE THE VALIANT KNIGHT!

GO FORTH AND VISIT EACH SQUARE!

[–]WeLoveKanjimari 6 points7 points ago

Im not sure your title is correct.

What, exactly (barring the other pieces, of course) is preventing the knight from going onto any of those spaces a second time?

Do you mean to say that, despite the strange movement of the knight, he can still REACH every space on the board? That's much less impressive.

[–]TheOthin 9 points10 points ago

The title doesn't convey it well, but the point is, it can reach each square without ever stepping back into its own tracks. The imposed challenge is what's keeping him out; the impressive thing is that with his odd movement, he can reach every square even with that imposed challenge in place.

[–]cr2224Green green trees 0 points1 point ago

clever. thanks!

[–]Tlah 1 point2 points ago

That kind of resembles the four proteic chains of hemoglobin.

Oooooh, also FSM.

[–]Grit_Rooster 2 points3 points ago

That was by far the most satisfying .gif I've ever seen.

[–]michaelsong55 0 points1 point ago

my minds been blown...again

[–]bigbuddha0911 0 points1 point ago

My life is complete.

[–]Thinc_Ng_Kap 1 point2 points ago

Can this be actually done if the knight is in its proper opening position though?

[–]nathan42100 1 point2 points ago

For those of you that don't know. This game is (or was, don't know if it still is) included with Spybot Search and Destroy so you can play while it scans (click on the binoculars)

[–]LogicSniper 0 points1 point ago

Um. Is math responsible for this?

[–]theMrDomino 1 point2 points ago

Looks vaguely like a Hilbert curve.

[–]EkezEtomer 0 points1 point ago

As can the queen.

[–]funnybeastsp 0 points1 point ago

so can the queen

[–]WithForte 0 points1 point ago

Did anybody else bet on the wrong square?

[–]Haasts_Eagle 1 point2 points ago

If only the other guy's pieces would just stand still for a while as I demonstrate...

[–]McLopez 0 points1 point ago

The end looked like a swastika

[–]Google_vs_Bing 0 points1 point ago

Kind of looks like an Abstract Swastika at the very end.

[–]ashkon91 0 points1 point ago

I had to program this for my AP CS class last year. THe memories. Ohh god the memories

[–]Tattered 0 points1 point ago

Also known as the most inefficient way of moving 2 squares

[–]GreenTomatoSauce 1 point2 points ago

That's not the starting position of a knight.

[–]keeganos23 1 point2 points ago

At the end it kind of looks like a frog's face

[–]mfter 1 point2 points ago

I made the wrong choice almost every time.

[–]drillguy 0 points1 point ago

this would be a sick screensaver

[–]Smudgerox 0 points1 point ago

It kind of looks like a face to me when it's finished. Very cool.

[–]Dimath 1 point2 points ago

I've spend infinite number of classes in high school trying to solve it. Usually these were physics classes. I have a degree in physics now, but was not able to solve the Knight's Tour problem :(

[–]BadgersB 0 points1 point ago

...... Beautiful....

[–]Numba2520 0 points1 point ago

Even though i knew the outcome, watched the whole damn thing

[–]sliverworm 0 points1 point ago

woah, mine = blown...

[–]somebodyother 1 point2 points ago

Computer Science student here, thank you, brain boner induced.

[–]nationalhonorroll 0 points1 point ago

i was hoping that i would make a silly face. still cool.

[–]Flene 0 points1 point ago

So can the queen, king, and rook.

[–]EnterSailor 0 points1 point ago

Pssssst that isn't where the knight starts....

[–]adamtheent 0 points1 point ago

mind has been officially bottled.

[–]CloseToast 0 points1 point ago

It's a face

[–]greentide008 1 point2 points ago

Recursion! I had to write a program last year in school to figure this out. Good ol' Knight's Tour.

[–]merlin_capone 0 points1 point ago

Or else what?

[–]FattswindstormHappy trees 0 points1 point ago

my favorite chess fact is there are more possible chess moves than atoms in the "observable universe". http://en.wikipedia.org/wiki/Shannon_number

i learned this remarkable fact via radiolab. I'm pretty sure this is the right one. My internets suck, so i can't double check.

[–]i_am_andy 0 points1 point ago

Anyone else hear a little song going along with this?

Boom Baah Boom Baah Boom Baah Boom Baah

[–]Smaktat 0 points1 point ago

COOL -__-

[–]zoso471 -1 points0 points ago

Really, the top post is about chess?

I don't know why I hang out with you guys...

[–]jjiiijjjjiiiiijjjjjj 2 points3 points ago

horse is the best peace, honestly XD

[–]DrDefenestrate 0 points1 point ago

That's just like this game on my old Junior High Teacher's website! http://mrescience.com/game_knight.php much fun. You have to try and get the knight into each spot in as few numbers as possible.

[–]Juttore 0 points1 point ago

so can the rook

[–]jrthib -1 points0 points ago

My mind is blown

[–]chingchonghat 0 points1 point ago

This was exactly in time with the song I was listening to. /r/mildlyinteresting

[–]Mirdj 0 points1 point ago

That's so cool.

[–]hagopes 1 point2 points ago

that looks like the London Olympics logo.

[–]gasholer 0 points1 point ago

hahah thats cool..never thought of it

[–]xyroclast 1 point2 points ago

Any particular reason they have it starting from that particular square? (Why not the Knight's natural starting position?

[–]Hormander -1 points0 points ago

I submitted this gif one year ago. I'm proud it is reposted.

Thank you.

[–]Greeksdorok -1 points0 points ago

This betters humanity how

[–]Schroedingers_Kant 1 point2 points ago

Some people can also do the Knight's tour blindfolded, or without a chess board and pieces in front of them.

Here's how.

[–]jimholigrams 1 point2 points ago

Why does this animation start the knight out in the king:queen spot.

[–]juma606 -1 points0 points ago

Shitty title.

[–]MrRedTRex 0 points1 point ago

and make a swastika

[–]Deseao 0 points1 point ago

I can't be the only one who was afraid it would end with the lines forming a phallic shape.

[–]gnovos 0 points1 point ago

As can the king, queen, and rook.

[–]Gymclasshero26 0 points1 point ago

I wonder who had that job. Lol

[–]le_zane 0 points1 point ago

A gentleman leaves no puzzle unsolved!

[–]Boomtastic8008 0 points1 point ago

So can the castle

[–]LuigiFebrozzi 1 point2 points ago

That's not where a knight starts out

[–]nonose101 -1 points0 points ago

Interesting thought for you all: Each of the line segments is exactly the same length.

[–]stiggz 0 points1 point ago

Alien spacecraft will be built upon mathematical truths such as these

[–]lawnjarts9 0 points1 point ago

The King's version of this would be a lot less "woahdude."

[–]EndymionAwake 0 points1 point ago

The easy to remember algorithm is to move to the space that has the least available moves afterwards. (I.E. if you could move to the corner, that space would only have 1 available move afterwards, so that is the lowest and you do it.)

You can start on any space and follow that logic and do it.

[–]knightsofrnew 0 points1 point ago

Cant believe this repost still gets so many upvotes

[–]butterybeeping 0 points1 point ago

This should be set to Bob Seger's "Knight Moves": http://www.youtube.com/watch?v=_mRFWQoXq4c

[–]Sherwin63 0 points1 point ago

put a screamer a the end

[–]SUPERMENSAorg -1 points0 points ago

this was stupid

[–]Skaarah 0 points1 point ago

I had to do this for CS class.

[–]derezzer 0 points1 point ago

Achievement Unlocked!

[–]spamfiltered 0 points1 point ago

This has to be one of the most boring things I've ever seen make #4 of /r/all, and I've played chess professionally (as in I was ranked and money was won).

This post is Reddit twiddling its thumbs.

[–]george_bluth_sr 0 points1 point ago

Holy shit, I was listening to "Bath Salt" by A$AP Mob while looking at this and the music syncs up perfectly to the animation

[–]skinnyfish_2 0 points1 point ago

I didn't read the title and thought it was going to draw something really cool. I was disappoint.

[–]epichotcheese 0 points1 point ago

Someone put that symbol in the end on a shield please.

[–]phreethinker -1 points0 points ago

Whoever took the time to do this...well done.

[–]rogicar 0 points1 point ago

That's why I call them my dancing destroyers.

[–]4the 0 points1 point ago

I would be more impressed if someone showed me how a pawn could reach every spot

[–]I_FISTED_AL_CAPONE -2 points-1 points ago

TETETETETETETETETTETETETETETETETTETETETETETTETETTETTETETTETTETETTETEETTETETETETETETEETTEhuhfffIN

g

[–]JustHereForThePizza 0 points1 point ago

Yes, but is this the route that would take the least distance moved?

[–]Freefall22 0 points1 point ago

I used to do this when filling pipet tip boxes, I would fill spots only as the knight could move and try to fill all the spots without getting stuck...

[–]TheAdziK 0 points1 point ago

Knight OP, should be nerfed next patch.

[–]Sundevil13 0 points1 point ago

You would lose

[–]blumousey 0 points1 point ago

What's more interesting is that if you number those squares 1-64 as the knight goes around, all of the horizontals, diagonals and verticals add up to the same number.

[–]ispeltzrong 0 points1 point ago

I had a coach that did this blind folded once in primary, one of the most impressive things I've seen a person do.

[–]livevil999 -1 points0 points ago

I think you meant to say: The knight can visit each square on a chess board without repeating any squares.

[–]eboxyz 0 points1 point ago

this is like one of those legend of zelda puzzles where you have to fill up all the blocks. but super fucked up.

[–]cunninglinguist81 0 points1 point ago

Question: is it possible to screw this up? By that I mean if you start moving a knight around a chess board (making sure never to visit the same space), will you naturally follow a "legal" path or can you get stuck before the end unless you follow this specific one?

[–]No_Shaft_All_Tip 0 points1 point ago

Fucking crazy! I came in saying to myself, "I hope it's a gif.". Was not disapointed.

[–]Febrezio1Bong ripper 0 points1 point ago

you broke my mind

[–]SteelingTime 1 point2 points ago

Does that, like, mean something, man?

[–]Chytrik 0 points1 point ago

Thats really neat, I like how it makes a sort of pattern. Very mathematical.

[–]Wendys_frys -2 points-1 points ago

Technically he cant if he can only travel on either black or white squares, soooo yeah.

[–]Leandrensen 1 point2 points ago

And what if he decides to keep on walking after the end of that gif ? AHA he would visit a square TWICE. GOTCHA BB. C U NEXT TIME. I'M OUTA HERE. BITE THE DASTA.

[–]2muffins 0 points1 point ago

Anyone else play Professor Layton and the Diabolical Box?

[–]jmagnus1 0 points1 point ago

Dude... Woah.

[–]GodKilledThemAll 0 points1 point ago

Woooo Knights Tour! aka computer science 100 level program!

[–]Mad_Max_Rockatansky 0 points1 point ago

This should be a puzzle game. That Chess guy was smart.

[–]LithiumBullets 0 points1 point ago

Knight you're drunk. Knight please...

[–]Kamige -1 points0 points ago

this would probably be amazing to me...if i knew how to play chess.

[–]ceawake 0 points1 point ago

I don't know why I love this but I do. I hate myself for loving this so much.

[–]Z0bieSpace is deep 0 points1 point ago

Lies, it can visit them as many times as it wants.

[–]TheRuler123 0 points1 point ago

But it doesn't start from that position :(

[–]Unsure_Of_Opinion 0 points1 point ago

[–]Pillagerguy 0 points1 point ago

So can the rook (?)

[–]nowatermelonnokfc 0 points1 point ago

this wasn't obvious?

[–]conorpacman 0 points1 point ago

The Knight always goes from black to white, white to black. Chess is awesome.

[–]Tebasaki 0 points1 point ago

Just like knights of the new need to visit each post once.

[–]insufficient_funds 0 points1 point ago

Had to do this as a project in one of my programming classes, when we learned about Recursion... pretty simple to program really...

[–]hxcavier 0 points1 point ago

If chess had Achievements/Trophies: "Well Traveled - Hit every square on the board with the knight in one match."

[–]chubasco 0 points1 point ago

Can't he also move backwards? Wouldn't that make it more than once?

[–]Fork-H 0 points1 point ago

I used a smaller version of this as a puzzle for my 3.5 DnD group. They did not enjoy that dungeon.

[–]hexwolfman -1 points0 points ago

did anybody notice the lines kind of make a swastika?

[–]mcmark123 1 point2 points ago

Yeah but so can the Queen king and rook!

[–]RockofStrength 1 point2 points ago

The chess board is four squares of four squared.

[–]grendelswr 0 points1 point ago

It kind of looks like a jack-o-lantern

[–]binary-love 0 points1 point ago

Is there an algorithm behind this?

[–]catroach 0 points1 point ago

looks like a monsters face with sharp teeth in the end

[–]ksaj 0 points1 point ago

This is pretty cool. Reminds me of Enochian Chess, except more visually interesting.

[–]biffbrixton 0 points1 point ago

splendid.

[–]michaelburns 0 points1 point ago

This was an easter egg game in the spyware removal program, Spybot.

[–]Schonnk 0 points1 point ago

look at the surprisingly symmetric shape at the end

[–]Sarahmint 0 points1 point ago

belongs on r/chess