The Sacks number spiral plots the natural numbers (including zero) on an Archimedean spiral, such that the square numbers, 1,4,9... occur at each complete revolution. The very small gold dots indicate natural numbers. Here, the natural number solutions of polynomials of the form n^3 + n^2 +n + C are plotted for cases C = 1,2,3...500. Each forms its own spiral and is plotted in its own colour, starting with C = 1 = deep red and ending with C = 500 = bright yellow. Some spirals intersect previous ones and the colour of the newest spiral over-writes the previous colour where this happens.

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