def get_angle_in_plan_relative_to_hexagon(self):
""""Get the angle of the triangle in the plan relative to the rotation
of the same triangle in the hexagon."""
- # The meaning of the formula regarding the index is the following:
+ # The explicit formula for this angle would be:
+ #
+ # pi + pi / 6 + (((self.index + 1) % 6) // 2) * pi * 2 / 3
+ #
+ # The meaning of the part regarding the index is the following:
# - rotate the indices by 1
# - group by 2 (because couples of triangles move together in the
# plan)
# - multiply the group by a rotation factor
- return pi + pi / 6 + (((self.index + 1) % 6) // 2) * pi * 2 / 3
+ #
+ # The explicit formula shows clearly that triangles move in groups of
+ # 2 in the plan.
+ #
+ # However, use an implicit form for robustness, so that if the other
+ # angle functions change this one can be left untouched.
+ return self.get_angle_in_hexagon() - self.get_angle_in_plan()
def get_angle_in_hexagon(self):
"""Get the angle of the triangle in the hexagons.