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The next step is to actually measure the radius at selected angles of theta. In this example we have provided the protractor, so you only need a ruler. Plotting the increase of radius with increasing theta will produce a curved graph. To change this into a linear graph we need to use the logarithmic function: y = ax expressed as log y = x*log a. The logarithmic spiral, r =ktheta
becomes
Putting this into the form
for a linear graph,
So all we have to do is measure
the slope m of a plot of theta versus log r. Since
If you plot a logarithmic
spiral using this value for k, it should closely match
the curvature of the cornrow braid.
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