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What is the differential equation of the shape of breasts?

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While extremely small breasts are fit by [math]s = [-1,1][/math], extremely large breasts are fit by [math]s=[-2.5,2.5][/math]. The final figure shows the effect of [math]\theta[/math], the angle between the breast contour and the imaginary horizontal. read more

A bit of a mathematical background is needed before going into the approach taken in the paper. A catenary is the mathematical name for the shape taken by a freely hanging ideal chain or cable which is supported only at its extremities. read more

(MAE/TAM) The Shape of a Hanging Cable. The figure below shows part of a flexible cable hanging under its own weight (which is w N/m). The figure also shows a diagram of the forces which, in equilibrium, must add to zero. read more

Then the differential equation $x'''/x' = y'''/y'$ simplifies to $\theta''= 0$. Thus the general solution has $\theta = A t + B$, $u = \cos(At+B)$, $v = \sin(At+B)$, where $A$ and $B$ are constants. If $A e 0$ you get $x = x_0 + \sin(At+B)/A$, $y = y_0 - \cos(At+B)/A$, thus a circle. read more

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True&Co identifies more than 6,000 breast shapes and find ...
Source: dailymail.co.uk

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