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import math
def calculate_polygons(startx, starty, endx, endy, radius):
sl = (2 * radius) * math.tan(math.pi / 6)
p = sl * 0.5
b = sl * math.cos(math.radians(30))
w = b * 2
h = 2 * sl
startx = startx - w
starty = starty - h
endx = endx + w
endy = endy + h
origx = startx
origy = starty
xoffset = b
yoffset = 3 * p
polygons = []
row = 1
counter = 0
while starty < endy:
if row % 2 == 0:
startx = origx + xoffset
else:
startx = origx
while startx < endx:
p1x = startx
p1y = starty + p
p2x = startx
p2y = starty + (3 * p)
p3x = startx + b
p3y = starty + h
p4x = startx + w
p4y = starty + (3 * p)
p5x = startx + w
p5y = starty + p
p6x = startx + b
p6y = starty
poly = [
(p1x, p1y),
(p2x, p2y),
(p3x, p3y),
(p4x, p4y),
(p5x, p5y),
(p6x, p6y),
(p1x, p1y)]
polygons.append(poly)
counter += 1
startx += w
starty += yoffset
row += 1
return polygons
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