5 x 5 Peg Lattice Board Answer

Answer:  50 Squares

Below are two animated .gifs of each square to be made on the lattice board.  If the images below are not moving, click on one to be directed to the original file of that image.

Regulars

\displaystyle{\boldsymbol{1+4+9+16=30}}

Regular (full size)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Diagonals

\displaystyle{\boldsymbol{1+2+8+9=20}}

Diagonal (full size)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

\displaystyle{\boldsymbol{\text{Total = }30 + 20=50}}

Challenge Answer:

\displaystyle{\boldsymbol{S(n)=\frac{n^4-n^2}{12}}}

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