Archimedes Spiral

Where:

• $r_i=r_{max}\sqrt{\frac{i}{\frac{m}{2}}}$
• ${\theta }_i=2\sqrt{\pi i}$
• $p_i=(r_{i,{\theta }_i})$
• $\overline{P_i}=(r_i-{\theta }_i)$
• For $i\in 1\dots \frac{m}{2}$