Python - Construct a Derived class using a classmethod from its Base class

I have a base class Polygon which holds a collection of vertices. It can also be constructed using the classmethod from_number_of_vertices_and_edge_length, in which case an equilateral polygon is constructed.

I also have a derived class, Square. I'm trying to initialize Square using the classmethod of Polygon.

When I try to create a Square instance, it will go into Polygon.from_number_of_vertices_and_edge_length() with cls being Square instead of Polygon, causing the line cls(vertices) to fail because it's calling Square(vertices) whereas I require it to call Polygon(vertices).

How can I solve this?

class Polygon:
    def __init__(self, vertices: list[Point]):
        self.vertices = vertices

    @classmethod
    def from_number_of_vertices_and_edge_length(cls, num_vertices, edge_length):
        # Create equilateral polygon with 'n' vertices.
        vertices = ...
        return cls(vertices)


class Square(Polygon):
    def __init__(self, edge_length):
        self.edge_length = edge_length
        super().from_number_of_vertices_and_edge_length(4, edge_length)

EDIT 1: I'd like the square instance to end up with attributes edge_length and vertices.