Divide a full circle into equal angles.

divider.py

#!/usr/bin/env python3

# Divides a full circle into equal angles.

import math

for N in range(2, 27):
  print(f"{N} divider:")
  for i in range(N):
    alpha = 360.0 * i / N
    deg = math.trunc(alpha)
    remaining_deg = alpha - float(deg)
    assert remaining_deg < 1.0
    minutes = math.trunc(remaining_deg * 60.0)
    remaining_minutes = remaining_deg * 60.0 - minutes
    assert remaining_minutes < 1.0
    seconds = remaining_minutes * 60.0
    print("{:2}  {:3}°{:02}′{:05.2f}″  # {:12.9f}".format(i, deg, minutes, seconds, alpha))
  print()