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abdool
What is the exact No. of squares one can find on the Chessboard?

Note that:
1- each cell of the 64 cells of the board is considered a square.
2- any combination of these small cells and gives a bigger square (e.g. adjacent 4,9,16,...etc) is considered a square.
3- those bigger squares may overlap.

Salaam

Aljaber
Asslamo 3laykom

204 :)

peace be upon you

sattia
- If we r going to form a 1x1 cell then we can place it 8 cells horizontally or vertically 64 squares
- If we r going to form a 2x2 sqr it can be placed 7 cells hor or vert = 49 sqrs
- If we r going to form a 3x3 sqr each then we have 36
.
.
.
- ... 8x8 sqr = 1 sqr
total = sum of (i^2) i = 1 to 8 = 204

abdool
Right its
i=n-1
SUM (n-i)^2
i=0
for a 8 x 8 square n=8

8^2+7^2+6^2+...+1^2=204