Figure 7
Polar plot r versus θ (in radians) for the spirals of modulus
m = 8 (red, middle),
m = 10 (green, bottom) and
m = 12 (blue, top). Note the observed simple proportionality (overall, approximate) characteristic for an Archimedean spiral. Note, also, the broken order in terms of the value of the slope, with the curve for
m = 10 featuring the smallest value, thereby indicating a non-unique rule for the spiral's generation. |