The Fifteen Puzzle Part 2 + More Puzzles

[Triplepower4]

How do I start these puzzles with Loyd's starter position if it is impossible to get to?

[AjedrezEnEspanol]

Keep up the great work!

[coolguy4488]

Its like a rubiks cube...its impossible to solve a rubiks cube if you take out an edge piece and flip it, Neither can you only switch the position of two edge pieces. or even switch two corner pieces' positions.

[CogitoErgoCogitoSum]

I already knew it was impossible the moment you offered a cash prize.

[TAC00CAT89]

nvm it is ):

[TAC00CAT89]

its not impossible

[thesatanic6]

i dont get it....how did anyone claim a prise f an impossible puzzle????

[RandomNinjaOfEvil]

@thesatanic6 They cheated.

[jennifer401000]

@thesatanic6 it's to trick them but he said people got the prize

[anticorncob6]

I wonder if you can flip two pieces that are on the same color square...

[Russelia224]

This is the same principal as the Big Brother puzzle :) but I have one question; Is this also the same principal that means you can't solve a Rubiks Cube if one of the edge pieces has been flipped? Love the vids by the way :)

[singingbanana]

@Russelia224 That's right. What is the Big Brother puzzle?

[Russelia224]

@singingbanana it's a silly game that is this principal interpreted for year 8s. There is a 9x9 grid of rooms and each person picks a room. Another person plays Big Brother, who then starts telling them to move either 1, 2 or 3 rooms (the people can only move to a new room that is either above/below to the left or right of them). After each turn they close one room, so that it is inaccessable. The idea is that by the end every person in the room has been herded into a single room :)

[singingbanana]

@Russelia224 Ah, yes, I see what you mean then.

[Russelia224]

@singingbanana I realise now i didn't even say the correct thing, but its all ok. On a slight side note; I was talking to my maths teacher, Miss Jameson of WCS if tht rings a bell, I showed her your youtube page and she said that everynow and then you come to our school to do the Enigma puzzle or just generally show us some fun puzzles. I'm taking my As maths now a year early an I was wondering if/when you're next coming down?

[singingbanana]

@Russelia224 Yes, tell Miss Jameson that she hasn't booked me yet for this year.

[Russelia224]

@singingbanana thank you and i will :)

[GrannyPig21]

You're too smart for me =(

[Dudebot58]

Hey, I have a funny Dear blank, Please blank for you!

Dear Math Students,

Please don't try to find me. I owe your teacher money...

Sincerely, X

[2MuchAsian]

can you please be my high school math teacher?? :)

[ruloman2010]

desde argentina te mando saludos... no sere considerado como fan pero me divierto viendo tus videos... un exelente trabajo

[NZKJalltheway1]

solved all 3

[AlmightyCerebus]

y not just scramble it and solve so that the swap works

[concretecubes]

Hello Singing banana, i have been watching your videos, and i am very fond of puzzles and math all together. Now, after previously watching the 15 puzzle video, i knew immediately that the switching of the two pieces would be impossible to solve, how did i know? Parity. What is Parity? it has something to do with other puzzles, including the original 3x3 Rubik's cube , Which you might already be familiar with.

[DeadeyeKeith]

So basically you could also claim that if squares 1-6 are in the correct positions of a 3X3 slider and the 7 & 8 are reversed with the empty space in the lower right corner, then it is impossible to solve?

[kinraade]

Thanks for the visual/audio explanation i read about this in simon singhs book fermats last theorem

[kinraade]

Thanks for the verbal and visual explanation of this puzzle i read about it in the simon singh book Fermats last Theorem

[kinraade]

Thanks for the audio and visual explanation of this puzzle i read about it in simon singh`s book Fermats last theorem

[kinraade]

Thanks for the visual and audio explanation of this puzzle i read about this problem in simon singh`s book fermats last theorem

[perezrex]

it is like the parity in a void cube.

[Dynamo112233]

how was it proved impossible in 1879 if it wasnt created until 1880

[fredrocks222]

it was created in 1818. Try Listening!

[antiaverage1]

Or maybe he was listening and is unfamiliar with the accent... whereby 18 sounds excruciatingly similar to 80

[pianoaddict06]

@Dynamo112233 no it was created in 1818

[sasuke283]

loyd was a cruel man of science lol

[miriamymarina]

Podriais poner subtitulos para los que somos españoles no? NO ENTIENDO NADA!

[TyYann]

I have these puzzles in a book by Martin Gardner. Maybe you own the same book?

[TyYann]

Yes! I was right!

Never mind... I will soon upload a video which will do with topology... You will be able to work on it on the road.

Stay tuned!

[Hamachi321]

wow didnt know you could have such sense of humour

[kurtzb1970]

I am a closet math nerd and really enjoy your videos. I wish I could take your class. What classes do you teach?

[singingbanana]

I'm a pure mathematician so I teach anything like that (I do what I'm told), and often teach probability and stats too. Much now my job is maths communication which involves travelling the country (or world) giving public talks.

[mickeyyeung0528]

@singingbanana so will you come to hong kong sometimes?

[singingbanana]

@mickeyyeung0528 I went earlier this year. I would like to go again.

[mickeyyeung0528]

@singingbanana when u come again please tell me!

[nerdwithaboner]

pizzle noober too

[MaffiasAngelO88]

I would love to try this, but I don't own a fifteen puzzle and hand rearing puppies has made me too tired to just use my brain alone =( (not that that's usually much use anyhow lol).

Thanks for the vid though = D

Peace

[gmsherry1953]

It may be your British English throwing off my American ears, but are you saying that the 14-15 reversal was proved impossible to solve in 1879 and Loyd offered the reward in 1880? If so, that was a pretty safe offer on his part. Just lucky he didn't cause a train accident by distracting those drivers with something known to be impossible.

I like your videos; thanks for them.

[singingbanana]

That's right.

[computerman91]

You are smart!!!!!

[FlloydOwnsAll]

Hmm, well I don't feel liek trying this right now, if I remember to do it I will, I LOVE puzzles I just only feel like doing them once in a blue moon, so I hate to say it I think I am out of this one, but another on in the near future I might do, again, if I feel like it. Why am I trying this thing all the way out instead of just saying, "I am not going to do this one."? I dunno, I can. (Keep up these puzzles)

[JuicyWubby]

I thought some were going to win for saying its impossible . And if it was solvable, you wouldn't have had offered $1000 .

[magician2242]

DID IT

[scotland7yard]

I see why it takes an even number of moves to get the blank space to its place, but I fail to see why it takes an odd number of moves to take the 15 to its place (including moves that don't involve moving the 15) .

The way I see it, numbers 1 to 13 need to be moved an even number of times or 0 (cos they are in their correct position) but 14 and 15 an odd number of times each... the total is still even

Having said that, thanks for the video

[singingbanana]

Fair enough. It takes an even number of swaps to move the blank to a black square. It takes an odd number of swaps to swap 14 and 15 - that will not change no matter how you do it. So that's why you can't do both.

[PreciseArrow1]

I love you? =)

your a cool guy

[askmagus]

*wins smugg*

[singingbanana]

You already had the answer to one of these didn't you :) I couldn't say anything before this video went up.

[DantezMaritu]

Thank you for winning me a beer.:)

[singingbanana]

Really...? :) Story please!

[DantezMaritu]

T'was easy, I just bet my friend (a quite clever guy) that he cannot do the impossible puzzle in a minute. He tried so hard, but he failed and had to pay me some beers. I'd share, but I am for a bit too far from you.:-D Anyway, I hope that your travel will be safe.;) Peace.

[singingbanana]

I love it :)

[frostshadow5]

hes a good lad this one

[singingbanana]

Haha :)

[Error081688]

Thanks for making more videos even while on the road.

[singingbanana]

No problem :) I away all next week, so I don't know when the next one will be...

[MagicRevealer09]

Cool!, I have the answer for the 15 puzzle, lift up the 15 and put it where the 14 was 8)

[DanyBoss1500]

awesome, but im no gonna solve any of those, too hard xD

[ChaosKnighta]

just i thought