Version of script for a tutorial using a circle mesh instead of a ico sphere https://www.youtube.com/watch?v=uOQ-CPcaqMo&lc=UgzQQKuVzGyx6Ke4DvJ4AaABAg

circles_in_a_circle.py

"""
https://stackoverflow.com/a/42879185

https://en.wikipedia.org/wiki/Parametric_equation#Circle

https://sinestesia.co/blog/tutorials/python-tubes-cilinders/

https://blog.wolfram.com/2015/06/28/2-pi-or-not-2-pi/

Great explanation of the math behind this 
"Parametrizing a Circle" by @JCCCmath
https://www.youtube.com/watch?v=H9GEuAMcVwo


"""

# give Python access to Blender's functionality
import bpy

# extend Python's math functionality
import math

# extend Python's print functionality
import pprint

# initialize paramaters
vert_count = 32  # show with 16 and 64
# angle_step = 2 * math.pi / vert_count
angle_step = math.tau / vert_count

# create a list of vert coordinates
vert_coordinates = list()

# repeat code in a loop
for i in range(vert_count):

    # calculate current current_angle
    current_angle = angle_step * i

    # calculate coordinate
    x = math.cos(current_angle)
    y = math.sin(current_angle)

    # visualize what we are doing
    # bpy.ops.mesh.primitive_ico_sphere_add(radius=0.05, location=(x, y, 0))
    bpy.ops.mesh.primitive_circle_add(radius=0.05, location=(x, y, 0))

    # add current coordinate to list
    vert_coordinates.append((x, y, 0))

pprint.pprint(vert_coordinates)