Generate a Formula for Square Spiral Algorithm | 10x10 Problem Statement

[SwiftxStuff]

The problem statement

Form a formula to generate every value in the 10x10 square spiral shown above. Use the variables: x = the column of the cell, y = the row of the cell, s = the size of the spiral (in this case 10).

The formula must work for any size of spiral, where s is the width and height of the spiral.

Solution attempt

Let a = the value of the cell
a = x + y - 1
This works for the first row and the first column of 10-19, but doesn't work for any further numbers.

 

[NascentOxygen]

Hi SxS. Welcome to the famous Physics Forums!

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