Work
(1)
\begin{align} \rho \in [0,1) \end{align}
(2)
\begin{align} i = (1 - \rho ^ a) n_{points} \end{align}
(3)
\begin{align} \theta = \frac{2 \pi (i \% n_{arms})}{n_{arms}} + \frac{w i \pi}{n_{points}} \end{align}
(4)
\begin{align} r = 1 - \sqrt{1 - \frac{i}{n_{points}}} \end{align}
(5)
\begin{align} \rho_0 \in [0,1) \end{align}
(6)
\begin{align} \theta_0 = 2 \pi \rho_0 \end{align}
(7)
\begin{align} r_0 = (1 - r) \frac{ \end{align}
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