Pyenvelope helps you find an arbitrarily oriented minimum bounding rectangle of a set of points. Minimum bounding rectangle (MBR), also known as bounding box or envelope.
Currently, it calculates a bounding rectangle with minimum area (I am going to add the logic for minimum perimeter soon). It uses the rotating calipers method https://en.wikipedia.org/wiki/Rotating_calipers.
You can use pip:
$ pip install pyenvelope
Use the get_minimum_bounding_rectangle function. It takes a set of points and returns coordinates of MBR vertices:
>>> from pyenvelope import get_minimum_bounding_rectangle
>>> get_minimum_bounding_rectangle([(1, 2), (2, 6), (3, 7), (2, 2)])
[(1.94, 1.76), (3.2, 6.94), (2.29, 7.17), (1.00, 2.00), (1.94, 1.76)]