we know that both squares are the same color since they are diagonal from each other. when you lay a domino down it has to touch one black square and one white square. assuming that the two squares removed were white, this would mean that somehow we would need one domino to cover two black squares, which is impossible. same is true if both were black squares.
i solved it.. it took me about an hour.. that was a tough one.. i love this kind of things.. too bad they dont give such problems in school.. = (,, man i sucked at math but i like this very much
its impossible as you cant place them diagonally that would ruin the riddle. if you think about it a domino must cover a whit and a black square it can never cover 2 white squares or 2 black ones and therefore witht he being 2 white squares removed(the 2 corners) this is now impossible unless of course ur an idiot and think placing them diagoally is being clever
the drawings has no black, just white, so I think the colors of the squares don't matter. I did it, with placing the vertically and horizontally, and it worked ;)
no, but i know why it is impossible. Imagine the board is a chess board, with alternating white and black squares. If you lay a domino down on this board, it will cover both a black and white square. There are 32 white and 32 black squares on a chess board. However if you chop off the two ends, they are both the same colour. So there will be 30 black and 32 white (or the other way round). As a domino must cover 1 black and 1 white, the whole board cannot be covered in dominoes.
If you could turn a domino on it's side and then place it diagonally then you can do it :D Or you could just buy those cheap plastic ones from the dollar store and snap them in half XD
Consider the colouring of the board as a chess board.
Each domino has to cover a white square and a black square. However, when the corners are taken away, we have 2 more squares of one colour than the other, hence no such arrangement of dominoes to fill the board.
4 dominoes in 3 x 3. One side of 8 x 8 has 4d x 3. Times 2 with other side gives 24d. Plus 8d in between, all minus 1d equals 31d, which counts for the two missing spaces. Therefore, ((4d x 3)2 + 8d) -1d = 62d. Substitute 2 with d, which are the number of spaces in it equals 62.
You can't do it. A domino piece covers 2 neighboring squares. On chess board you always have black square next to white square, thus a domino piece can cover one black and one white piece. By removing 2 opposite squares you remove 2 squares of same color. For example you'll get 32 black squares and 30 white ones. With 30 domino pieces you will cover all but 2 black squares which you cannot cover with last domino piece.
Draw a 2 by 2 grid. Now put an "x" in the top left and bottom right squares. Now try to place one domino down. You can't. This is the same thing on an 8 by 8 scale. Try it on a 4 x 4 grid. etc. By the way, you can remove two squares. They don't even have to be together. They just have to be laterally symmetrical squares. In this video they removed DIAGONALLY symmetrical squares. Like in my 2 by 2 example.
Draw a 2 by 2 grid. Now x out the top left and bottom right squares. Now try to place one domino down. You can't. This is the same thing on an 8 by 8 scale. Notice the removed spaces have to be together. Now try a 4 by 4 grid. The spaces no longer need to be together, but must be anywhere laterally symmetrical. The 8 x 8 grid here has removed DIAGONNALLY symmetrical spaces. This is something an orthogonally (up/down, left/right) placed domino can not do. (like in my 2 by 2 example).
i have another question to you. Lets continue the story... When the sun rises up Peter go out from their house to take some walk. it was sunset when he came back and his hair grew 2-inches more. how is it possible? do you have the answer... if you cant answer it within 2 days then my 7 year old brother is better than you. gud luck
That story doesn't make sense grammatically. You said that "the sun rises up Peter go out from their house to take some walk." Their is used for plural possession which means that there were many Peters. So theoretically if you have enough Peters, then you can add all of their hair growth together to make 2 inches. Otherwise, you need to correct the grammar in the question.
there is only one peter .. and it grows naturally.. add the hair of other person to make the 2 inches? r u stupid.. you're answer is a stupid answer...
mr. vorojtsov . i hve a quetion to you.. if peters mother has five childs namely keli,kile,kela,akel and ______ who is the fifth child..? answer it quickly... now
It can't be done, each dominoe has to cover 2 squares of different colours, you have removed diagonally opposite corner squares which are the same colour, therefore it cannot be done. The only way it can be done is to place the final dominoe diagonally acrossthe last two squares and stand the last dominoe on its edge, but it's cheating.
i subscribed to your site, Serguei but I can't find those free downloads!!!!
thezimboman 1 year ago
I notice this "chess board" is 2 7x7 squares put on top of each other.
ericcartmankicksass1 1 year ago
i can do it with 30 dominoes
haroeris1 2 years ago
we know that both squares are the same color since they are diagonal from each other. when you lay a domino down it has to touch one black square and one white square. assuming that the two squares removed were white, this would mean that somehow we would need one domino to cover two black squares, which is impossible. same is true if both were black squares.
Carbunkal 2 years ago 2
ez just make one go diagonal
hundike1 2 years ago
lol this can`t be done xD and about 20 people sayd : this was very easy I done it
nikigadev 2 years ago
well that was easy
drummerjc1995 2 years ago
fcuk.. no i havnt.. i made a flawed drawing.. geez : D
dominicjan 2 years ago
i solved it.. it took me about an hour.. that was a tough one.. i love this kind of things.. too bad they dont give such problems in school.. = (,, man i sucked at math but i like this very much
dominicjan 2 years ago
@dominicjan you cant do it
06MyWorld 1 year ago
best problem yet
krewmister777 2 years ago
IT HURTS!!!
no1sjester 2 years ago
u can do it cos ull needs 15.5 dominoes
magicgroovevids 2 years ago
how the heck do you wanna get a half domino???
Racksor 2 years ago
well.. just place them on, and than two boxes will be left at an opposite side, than you break one domino in half and place one half on each box :P
ttthedark 3 years ago
its impossible as you cant place them diagonally that would ruin the riddle. if you think about it a domino must cover a whit and a black square it can never cover 2 white squares or 2 black ones and therefore witht he being 2 white squares removed(the 2 corners) this is now impossible unless of course ur an idiot and think placing them diagoally is being clever
spacelemming 3 years ago
the drawings has no black, just white, so I think the colors of the squares don't matter. I did it, with placing the vertically and horizontally, and it worked ;)
SILVIU19G 3 years ago
lies lol, it is impossible
rwtig 3 years ago
did you try it ?
SILVIU19G 3 years ago
no, but i know why it is impossible. Imagine the board is a chess board, with alternating white and black squares. If you lay a domino down on this board, it will cover both a black and white square. There are 32 white and 32 black squares on a chess board. However if you chop off the two ends, they are both the same colour. So there will be 30 black and 32 white (or the other way round). As a domino must cover 1 black and 1 white, the whole board cannot be covered in dominoes.
rwtig 3 years ago 4
I got it
Sukraloos1 3 years ago
harmonica grapefruit turtle
texasranga 3 years ago
Place some dominoes diagonally :)
MazzazzK 3 years ago
ummmmm put the 2 squars back on? lol
fuse3214 3 years ago 2
lol
Shadowfax611 3 years ago
woaaa if you stare too much at those squares in the drawing... it seems like they move x_x
SalchichaPolaca 3 years ago 2
If you could turn a domino on it's side and then place it diagonally then you can do it :D Or you could just buy those cheap plastic ones from the dollar store and snap them in half XD
destined1415 3 years ago
nope cant think of any good awnser
wctje777 3 years ago
cool
calexculux 3 years ago
Consider the colouring of the board as a chess board.
Each domino has to cover a white square and a black square. However, when the corners are taken away, we have 2 more squares of one colour than the other, hence no such arrangement of dominoes to fill the board.
Kaiseraph 3 years ago 5
hes so excited about this isn't he?
gr8ol1 3 years ago 4
lol XD
francisalec 3 years ago
It is NOT possible!!!
Smebninja 3 years ago
4 dominoes in 3 x 3. One side of 8 x 8 has 4d x 3. Times 2 with other side gives 24d. Plus 8d in between, all minus 1d equals 31d, which counts for the two missing spaces. Therefore, ((4d x 3)2 + 8d) -1d = 62d. Substitute 2 with d, which are the number of spaces in it equals 62.
Sale15 3 years ago
((4d x 3)2 + 8d) -1d = 31d
Sale15 3 years ago
nice one.
jesokingcryst 3 years ago
It seems can't be done, because the answer would be impossible to fit in a comment.
MediumKuriboh 3 years ago
i dunno why somebody gave you a thumbs-down, but that was a good joke!! hahah :P
rtarbinar 2 years ago
thanks for thumbs up !
MediumKuriboh 2 years ago
sure!!! i always appreciate humor when i see it ;)
rtarbinar 2 years ago
You can't do it. A domino piece covers 2 neighboring squares. On chess board you always have black square next to white square, thus a domino piece can cover one black and one white piece. By removing 2 opposite squares you remove 2 squares of same color. For example you'll get 32 black squares and 30 white ones. With 30 domino pieces you will cover all but 2 black squares which you cannot cover with last domino piece.
spiddo 3 years ago 16
Genius.
hurikai 3 years ago 8
nice
ooglebydoogleby 3 years ago 3
Interesting. Good call on that one =D
CrystaltheWaterLily 2 years ago
Draw a 2 by 2 grid. Now put an "x" in the top left and bottom right squares. Now try to place one domino down. You can't. This is the same thing on an 8 by 8 scale. Try it on a 4 x 4 grid. etc. By the way, you can remove two squares. They don't even have to be together. They just have to be laterally symmetrical squares. In this video they removed DIAGONALLY symmetrical squares. Like in my 2 by 2 example.
trombone7 4 years ago
Draw a 2 by 2 grid. Now x out the top left and bottom right squares. Now try to place one domino down. You can't. This is the same thing on an 8 by 8 scale. Notice the removed spaces have to be together. Now try a 4 by 4 grid. The spaces no longer need to be together, but must be anywhere laterally symmetrical. The 8 x 8 grid here has removed DIAGONNALLY symmetrical spaces. This is something an orthogonally (up/down, left/right) placed domino can not do. (like in my 2 by 2 example).
trombone7 4 years ago 2
vorojtsov.. it only means that i am better than you.
rastal200618 4 years ago
Or that he doesn't like you.
WarlordJC 4 years ago 4
i think he doesnt like you rastal 200618
idontknow332 3 years ago 4
its a grammatical quest, so its difficult to solve if english isnt your native language,
it could be ANY sunset, like the sunset in 2 years.
And we didnt saw you solving your problem, maybe you couldnt answer it aswell, so the one who asked it told you the solution.
MishaASMV 3 years ago
but it should be the first sunset..
jaludvictor 3 years ago
uhhhh...wow...you're pretty insecure, aren't you, rastal200618? or perhaps just jealous of mr. vorojtsov's towering intellect... :P
rtarbinar 3 years ago
yeah towering intellect!hes got great problems!
krewmister777 2 years ago
hmmm...what problems???
rtarbinar 2 years ago
oh, i think i get what you were saying...heheh...yup! :)
rtarbinar 2 years ago
i have another question to you. Lets continue the story... When the sun rises up Peter go out from their house to take some walk. it was sunset when he came back and his hair grew 2-inches more. how is it possible? do you have the answer... if you cant answer it within 2 days then my 7 year old brother is better than you. gud luck
rastal200618 4 years ago
It was about 4 months later ?
trombone7 4 years ago 2
That story doesn't make sense grammatically. You said that "the sun rises up Peter go out from their house to take some walk." Their is used for plural possession which means that there were many Peters. So theoretically if you have enough Peters, then you can add all of their hair growth together to make 2 inches. Otherwise, you need to correct the grammar in the question.
poprockssuck87 3 years ago
Comment removed
poprockssuck87 3 years ago
there is only one peter .. and it grows naturally.. add the hair of other person to make the 2 inches? r u stupid.. you're answer is a stupid answer...
jaludvictor 3 years ago
Comment removed
poprockssuck87 3 years ago
he could come home at ANY sunset, like the sunset 3 months later
MishaASMV 3 years ago 4
but it should be the first sunset...
jaludvictor 3 years ago
He lives on one of the poles or something.
Ricard0dude 3 years ago
and i think is green, am i right?, lol
ricardogarza8 3 years ago
dude thats so easy
my dog could answer that...
beavsfano1 3 years ago
mr. vorojtsov . i hve a quetion to you.. if peters mother has five childs namely keli,kile,kela,akel and ______ who is the fifth child..? answer it quickly... now
rastal200618 4 years ago
Peter?
vorojtsov 4 years ago 14
lol pretty easy isn't it ?
VILABACKUP 3 years ago
@rastal200618 lake?
bigfanowarriors 1 year ago
This was a maths challenge question :)
defileralpha 4 years ago
It can't be done, each dominoe has to cover 2 squares of different colours, you have removed diagonally opposite corner squares which are the same colour, therefore it cannot be done. The only way it can be done is to place the final dominoe diagonally acrossthe last two squares and stand the last dominoe on its edge, but it's cheating.
wig3 5 years ago 4
Thank you for the correct solution!
vorojtsov 5 years ago
it can be done, i just did it
WhyMex69x 4 years ago
one domino covers two squares on a checkers board
jskiffy 5 years ago