# Here we consider the average "roundness" of faces with n edges. # Roundness is computed as 4*pi*A/P^2, where A is area and P is # perimeter. The roundness of a circle is 1. # Columns: n, average roundness, standard deviation, standard # error from the mean 3 0.434535299 0.129631929 8.01387E-06 4 0.549838592 0.140983886 6.67371E-06 5 0.645531717 0.122515252 5.65634E-06 6 0.713788154 0.102511747 5.33198E-06 7 0.761805814 0.085912407 5.71091E-06 8 0.796324498 0.073198726 7.00404E-06 9 0.822016457 0.06357242 9.79325E-06 10 0.84181654 0.056194388 1.5463E-05 11 0.857554259 0.050420048 2.72672E-05 12 0.870392219 0.045754126 5.32244E-05 13 0.880892054 0.041889117 0.000113524 14 0.889886225 0.039031183 0.000266383 15 0.897628415 0.035786302 0.000657654 16 0.904132305 0.033502636 0.00173238 17 0.907466815 0.033345093 0.004669247 18 0.938723892 0.014762592 0.007381296