On a geometry of the flat violin boundary
Abstract An analytic expression for the shape of the flat boundary of the violin is suggested. The polar equation in the form ( r / a ) n = 1 − 2 Σ m = 1 N − 1 c m sin 2 ( mθ /2) has been assumed for the upper and lower bouts, whereas the C-bout has been represented by a rotated and translated ellipse. The parameters and the coefficients, computed numerically to fit a 1720 Stradivarius, are tabulated in the text.