Kernel probability density estimation (KPDE) of the points ratio associated with each attractor for an horizontal or a vertical line.

<p>This figure shows the KPDE related to each attractor for a random picked horizontal or vertical line. The horizontal axis measures the ratio points per line. The vertical axis represents the probability density of each attractor, for horizontal lines on the left and for vertical lines on the right. Here, <i>γ</i>_<i>P</i>3 (blue) is the probability density function associated with the <i>P</i>3 attractor, <i>γ</i>_{<i>P</i>1<i>R</i>} (green) is the probability density function associated with the <i>P</i>1<i>R</i> attractor and <i>γ</i>_{<i>P</i>1<i>L</i>} (red) is the probability density function associated with the <i>P</i>1<i>L</i> attractor. We have repeated the same computation for the following resolutions: 50 × 50 as dash line, 300 × 300 as dot dash line and 1000 × 1000 as solid line.