SQUARE SPIRAL

BALANCE


An unusual balance results from dividing the square spiral diagonally just above the center. The sum of linear units in the bottom portion of the spiral (gray) equal the sum of linear units in the upper section (rainbow).

OBSERVATION

To clarify the observation, separate out the square numbers from the array. Next pair the remaining integers from each side in ascending order and subtract. The final result confirms our original observation and demonstrates how this pattern holds true for each subsequent layer that is added to the array.