﻿ Python Math: Calculate a grid of hexagon coordinates of the given radius given lower-left and upper-right coordinates - w3resource

# Python Math: Calculate a grid of hexagon coordinates of the given radius given lower-left and upper-right coordinates

## Python Math: Exercise-62 with Solution

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.

Sample Solution:-

Python Code:

``````#https://gist.github.com/urschrei/17cf0be92ca90a244a91
import math
def calculate_polygons(startx, starty, endx, endy, radius):
# calculate side length given radius
sl = (2 * radius) * math.tan(math.pi / 6)
# calculate radius for a given side-length
# (a * (math.cos(math.pi / 6) / math.sin(math.pi / 6)) / 2)
# see http://www.calculatorsoup.com/calculators/geometry-plane/polygon.php

# calculate coordinates of the hexagon points
# sin(30)
p = sl * 0.5
w = b * 2
h = 2 * sl

# offset start and end coordinates by hex widths and heights to guarantee coverage
startx = startx - w
starty = starty - h
endx = endx + w
endy = endy + h

origx = startx
origy = starty

# offsets for moving along and up rows
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

print(calculate_polygons(1,1, 4, 4, 3))
```
```

Sample Output:

```[[(-5.0, -4.196152422706632), (-5.0, -0.7320508075688767), (-2.0, 1.0), (1.0, -0.7320508075688767), (1.0, -4.1
96152422706632), (-2.0, -5.928203230275509), (-5.0, -4.196152422706632)], [(1.0, -4.196152422706632), (1.0, -0
.7320508075688767), (4.0, 1.0), (7.0, -0.7320508075688767), (7.0, -4.196152422706632), (4.0, -5.92820323027550
9), (1.0, -4.196152422706632)], [(7.0, -4.196152422706632), (7.0, -0.7320508075688767), (10.0, 1.0), (13.0, -0
.7320508075688767), (13.0, -4.196152422706632), (10.0, -5.928203230275509), (7.0, -4.196152422706632)], [(-2.0
------
), (10.0, 14.85640646055102), (10.0, 11.392304845413264), (7.0, 9.660254037844387), (4.0, 11.392304845413264)]
]
```

Flowchart:

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﻿

## Python: Tips of the Day

Getting rid of unwanted characters:

You can get rid of whitespaces or any specific character using strip methods in Python. You can use either plain strip for both sides, lstrip for the left side and rstrip for the right side only.

```str="+++Welcome python+++"
str.strip()

print(str)```

Output:

`+++Welcome python+++`