
You can keep going as long as you want. The figure comes back around to
the original point at about √
17
. We created an OpenSCAD program called
theodorus.scad to let you create as big a spiral as you want (and can fit on
your 3D printer). Here is a spiral with 3 triangles (Figure 6-5), which ends at a
triangle with a hypotenuse of √
4
= 2.
Here is a spiral with 16 triangles (Figure 6-6, longest hypotenuse √
17
). The
model creates a solid base for the figure for easier printing.
In principle, you can measure off the square roots of numbers from 1 to 17
from the flat version, which might have been handy in the era before calcula-
tors. The OpenSC ...