Splitting a polygon along the antimeridian can potentially much more involved than expected. In Python, we can use the Shapely library to accomplish this with the following steps

1. Taking a given polygon's coordinates (in GeoJSON format), then detecting whether there are antimeridian crossings by checking if the **absolute value of the longitudinal difference** between two consecutive vertices of the polygon is greater than a certain threshold. Practically, 180 degrees could be a sensible threshold value.
2. If there are antimeridian crossing, you will next need to determine the direction (e.g. is it going from +179.9 to -179.9 or vice versa). Once you know the direction, you can shift certain vertices of the polygon into a new Cartesian space. For example, consider the case of the previous vertex at +179.9 the the current vertex at -179.9:
    - we can shift the current vertex to +180.1 in our new Cartesian space
    - we note down that the antimeridian crossing is a line at +180.0 of longitude
3. Once the entire polygon's vertices have been appropriately shifted into the new Cartesian space, we can then leverage Shapely's Cartesian geometry operations (particularly the `shapely.ops.split` function) to split the polygon safely.
4. Finally, for each of the resultant polygons from the `split` operation, you'll need to shift their longitude values to appropriate geographic coordinates (+/- 360.0)

Here's the [full tutorial + code snippets][1] using Shapely. 



  [1]: https://towardsdatascience.com/around-the-world-in-80-lines-crossing-the-antimeridian-with-python-and-shapely-c87c9b6e1513