find the nearest pixel to point `ix`, `iy` in the plane with shape `shape` ovs is the oversampling factor for spatial antialiasing

Core of spatial antialiasing

redraw plots ; controlled by checkmarks

create simulation data of bifurcation at various rates. performance can improve with parallel = True only at massive scales taken

create rulers and labels at each feigenvalue

add a `ruler` to plot to show distance between Bifurcations

Render the frames we have created into a ProRes mov

Core of 3D smoothing algorithm

From pynamical `https://github.com/gboeing/pynamical` Calculate the vertices of cobweb lines for a cobweb plot. Steps in the calcula

From pynamical Calculate model results for n population values evenly spaced between start and end values. Arguments ---------

linear interpolation function maps `x` between `in_min` -> `in_max` into `out_min` -> `out_max`

Create a 2D Mandelbrot set to use as a mask when we create the 3D mandelbrot dataset Can be faster if parallel=False for

Create the 3D dataset of Mandelbrot set / logistic map, dubbed `triplebrot` mask : precomputed 2D mandelbrot set to quickly exclude point

Camera smoothing function; essentially an ease in / ease out nonlinear interpolation

custom implementation of AxisItem.resizeEvent to control `nudge` this overwrites the instance method for `AxisItem`

3D smoothing algorithm to reduce Moire patterns

From pynamical `https://github.com/gboeing/pynamical` Define the equation for the logistic map. Arguments --------- pop: f