I saw somewhere an image of a “spiral of squares,” and I looked online to see how I could graph it myself. I found the Wikipedia page for the Archimedean Spiral and its equation, but that just gives a general spiral. I would like to know if there is a way to convert the Archimedean Spiral into this square spiral, or if I need a different equation. The exact product I am going for is this: https://geo-met-me.deviantart.com/art/Square-Spiral-114824119
Thanks in advance!
On
instead of looking it like squares visualize it as 4 spirals all of which are made of triangles. those spirals are then called "spiral of Theodorus" these triangles can be made using the Pythagorean theorem to give the length of the next leg based on the previous triangle
the four spiral are then arranged like so according to the Pythagorean theorem
The equation of the spiral can be obtained as solution of the Four Bags Problem and it turns out to be a logarithmic spiral.