SQUARE NUMBERS
Square numbers are the result of multiplying any integer by itself. Square numbers can be represented in two dimensions as stacks of square blocks.
ARRANGEMENTS OF SQUARE NUMBERS
Coloring the blocks in the first column reveals a pattern unique to square numbers. Rearranging the blocks in the second column establishes a linear order by way of the associative property.
NUMBER LINE
A square spiral is a segment of a number line which occupies two dimensional space, a spiral vector which can be fit neatly into a square grid. Units along the number line can be any integer, positive or negative.
SQUARE SPIRAL
Alternatively a square spiral can be represented as a series of concentric square rings. Each ring begins with an odd square number and ends with the next square number minus one. Each successive ring contains 8 more cells then the previous ring.