80 lines
2.9 KiB
Python
80 lines
2.9 KiB
Python
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# Write a Python program to calculate a grid of hexagon coordinates of the given radius given lower-left and upper-right coordinates. The function will return a list of lists containing 6 tuples of x, y point coordinates. These can be used to construct valid regular hexagonal polygons.
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# Expected Output :
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[[(-5.0, -4.196152422706632), (-5.0, -0.7320508075688767), (-2.0, 1.0), (1.0, -0.
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7320508075688767), (1.0, -4.196152422706632), (-2.0, -5.928203230275509), (-5.0,
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-4.196152422706632)], [(1.0, -4.196152422706632), (1.0, -0.7320508075688767), (4.
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0, 1.0), (7.0, -0.7320508075688767), (7.0, -4.196152422706632), (4.0, -5.92820323
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0275509), (1.0, -4.196152422706632)], [(7.0, -4.196152422706632), (7.0, -0.732050
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8075688767), (10.0, 1.0), (13.0, -0.7320508075688767), (13.0, -4.196152422706632)
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........
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(7.0, 9.660254037844387), (4.0, 11.392304845413264)]]
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import math
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#https://gist.github.com/urschrei/17cf0be92ca90a244a91
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def calculate_polygons(startx, starty, endx, endy, radius):
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# calculate side length given radius
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sl = (2 * radius) * math.tan(math.pi / 6)
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# calculate radius for a given side-length
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# (a * (math.cos(math.pi / 6) / math.sin(math.pi / 6)) / 2)
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# see http://www.calculatorsoup.com/calculators/geometry-plane/polygon.php
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# calculate coordinates of the hexagon points
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# sin(30)
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p = sl * 0.5
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b = sl * math.cos(math.radians(30))
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w = b * 2
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h = 2 * sl
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# offset start and end coordinates by hex widths and heights to guarantee coverage
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startx = startx - w
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starty = starty - h
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endx = endx + w
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endy = endy + h
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origx = startx
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origy = starty
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# offsets for moving along and up rows
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xoffset = b
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yoffset = 3 * p
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polygons = []
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row = 1
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counter = 0
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while starty < endy:
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if row % 2 == 0:
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startx = origx + xoffset
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else:
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startx = origx
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while startx < endx:
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p1x = startx
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p1y = starty + p
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p2x = startx
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p2y = starty + (3 * p)
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p3x = startx + b
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p3y = starty + h
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p4x = startx + w
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p4y = starty + (3 * p)
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p5x = startx + w
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p5y = starty + p
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p6x = startx + b
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p6y = starty
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poly = [
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(p1x, p1y),
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(p2x, p2y),
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(p3x, p3y),
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(p4x, p4y),
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(p5x, p5y),
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(p6x, p6y),
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(p1x, p1y)]
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polygons.append(poly)
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counter += 1
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startx += w
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starty += yoffset
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row += 1
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return polygons
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print(calculate_polygons(1,1, 4, 4, 3))
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