How Many Squares on a Chessboard?

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Avatar of jjupiter6

iballisticsquid123 wrote:

Okaaay. If you don't use google, you're not a noob, you're even worse.

I would argue that relying on the first three hits of Google, (of which one will be Wikipedia) like most of the world's population does,makes you worse than a noob.

Avatar of iballisticsquid123

but if most of the world are worse than a noob, i doesn't leave any room for a genius like you (secretly shaking head

Avatar of eric0022
MasterNimbleNathan wrote:
It’s 64

 

I agree with everyone else who mentions that there are 204 squares altogether. It's just that there are 64 squares of size 1 x 1. Do not forget that there are 49 squares of size 2x2, 36 squares of size 3x3, 25 squares of size 4x4, 16 squares of size 5x5, 9 squares of size 6x6, 4 squares of size 7x7 and 1 lone square of size 8x8.

 

Now I wonder, how many rectangles are there in a standard 8x8 chessboard?

 

EDIT: I did not realise that the number of rectangles discussion was mentioned earlier in this post.

Avatar of eric0022
iballisticsquid123 wrote: (Post #1)

This is a trick question. Lets see if any of you can figure it out.

 

I have a new answer. You did not specifiy that it must be a standard 8x8 chessboard.

 

385, on a 10x10 chessboard.

Avatar of eric0022
JurassicParkour wrote:

You are not allowed to combine squares into other squares

 

It's called thinking out of the box (actually, inside the square box).

Avatar of captaintugwash

Has anyone said none yet? I'll be impressed if there's a single chess board in the world with a single perfect square on it.

Avatar of iballisticsquid123

now that, is the mastermind I'm looking for. Great thinking-even pixels on a computer aren't atomically perfect.

Avatar of pumpkin_LN

How do you even draw a perfect square??

Avatar of cjxchess17

Here is another trick question (I stress the word "trick" here):

There are two people named A and B. A is a smart guy (who knows there are 204 squares on a 8x8 chess board) and B is a kid is not very good at math and thinks there are 64 squares on a 8x8 board. One day, B was playing a game on his NxN board and A walks by when B (who doesn't know A) asks A how many squares are on his NxN board. A answers, "P squares." B laughs at A saying, "Are you serious? That's the number of squares on a MxM board!"

If N, M, and P >1 and are whole numbers, what is N, M, and P? (There is only one answer, and you need to explain why)

 

 

Avatar of TheSpoonPower

64. 8x 8 array

 

Avatar of iballisticsquid123

no, wait, I just disproved the Pythoagorean theorem. That can't be right. Dang it!

Avatar of Ziryab
All of them
Avatar of iballisticsquid123

There are 0 squares on any chessboard because squares are 2-D and chessboards are 3-D. That means N=189356203465915470369316514506503465017438713287183431798035671462397417509132801249132649123401365981346193274, M=355156764712637645136436172643275173419274695432458678273827654621675167519549678653736126516751967547695867541, and P=0.

Avatar of willitrhyme

Well, on a fifth-dimensional plane, notions like 'square' or 'how many?' lose all of their contextual meaning .. So the answer ought to be 'pink'.

Avatar of ChessBoy513

64 because 8x8=64

Avatar of captaintugwash
iballisticsquid123 wrote:

There are 0 squares on any chessboard because squares are 2-D and chessboards are 3-D. 

You can have squares on the surface of a 3D object.

Avatar of captaintugwash
ChessBoy513 wrote:

64 because 8x8=64

This is certainly an incorrect answer.

The correct answer without being creative or pedantic is 204.

Avatar of captaintugwash

In case you can't figure out why, take a much simpler 2x2 board. There are five squares, not four. 

Four small ones, and one large one. 

Avatar of ChessBoy513

https://en.wikipedia.org/wiki/Chess Read this because it proves I'm right.

Avatar of captaintugwash

haha citing wikipedia.

Either you're a really good troll, or this has gone completely over your head.