#!/usr/bin/env python
from math import pi, sin, cos


def hexagon_coords(theta, r):
    digits = 6
    x = round(r * cos(theta), digits)
    y = round(r * sin(theta), digits)
    return (x, y)

# For the key: run(15, (30,20))
def run(radius = 3.2, offset=(0,0)):
	angles = [n*2*pi/6 for n in range(0, 7)]

	for angle in angles:
	    coords = tuple(map(sum, zip(hexagon_coords(angle, radius),offset)))
	    print("(",coords[0]," ",coords[1],")",sep="",end=" ")
	print()

def edgeMidpoint(radius, offset):
	return [(radius*cos(pi/6+i*pi/3)+offset[0],radius*sin(pi/6+i*pi/3)+offset[1]) for i in range(6)]