inkscape-bobbinlace

InkScape plugins related to bobbin lace

View project on GitHub

Original math for Polar Grids

The angle of the polar grid is kept constant with the following theory.

angles

When a is small and r large, the small edge of the pie could be considered straight.

With b = 45 degrees, r1 equals the small pie edge.

The approximation above in math: r_1 = \frac{ 2*\pi*r }{ nr \ of \ segments }' align='absmiddle' title='r_1 = \frac{ 2*\pi*r }{ nr \ of \ segments }

For the circle we get: r_2 = \frac{ 2*\pi*(r + r_1) }{ nr \ of \ segments }' align='absmiddle' title='r_2 = \frac{ 2*\pi*(r + r_1) }{ nr \ of \ segments }

From the mathematical rule: tan(b) = \frac{ r_1 }{ curve \ length }' align='absmiddle' title='tan(b) = \frac{ r_1 }{ curve \ length }

we can deduce: r_1 = \frac{ 2 * \pi * r * tan(b) }{ nr \ of \ segments }' align='absmiddle' title='r_1 = \frac{ 2 * \pi * r * tan(b) }{ nr \ of \ segments }