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:param im: The image to draw in.
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images, this argument can be RGB or RGBA (to blend the
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must be the same as the image mode. If omitted, the mode
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(Experimental) A more advanced 2D drawing interface for PIL images,
based on the WCK interface.
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(experimental) Fills a bounded region with a given color.
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:ref:`coordinate-system`.
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pixels with a color different from the border color. If not given,
the region consists of pixels having the same color as the seed
pixel.
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tolerable difference of a pixel value from the 'background' in
order for it to be replaced. Useful for filling regions of
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Generate a list of vertices for a 2D regular polygon.
:param bounding_circle: The bounding circle is a tuple defined
by a point and radius. The polygon is inscribed in this circle.
(e.g. ``bounding_circle=(x, y, r)`` or ``((x, y), r)``)
:param n_sides: Number of sides
(e.g. ``n_sides=3`` for a triangle, ``6`` for a hexagon)
:param rotation: Apply an arbitrary rotation to the polygon
(e.g. ``rotation=90``, applies a 90 degree rotation)
:return: List of regular polygon vertices
(e.g. ``[(25, 50), (50, 50), (50, 25), (25, 25)]``)
How are the vertices computed?
1. Compute the following variables
- theta: Angle between the apothem & the nearest polygon vertex
- side_length: Length of each polygon edge
- centroid: Center of bounding circle (1st, 2nd elements of bounding_circle)
- polygon_radius: Polygon radius (last element of bounding_circle)
- angles: Location of each polygon vertex in polar grid
(e.g. A square with 0 degree rotation => [225.0, 315.0, 45.0, 135.0])
2. For each angle in angles, get the polygon vertex at that angle
The vertex is computed using the equation below.
X= xcos(φ) + ysin(φ)
Y= −xsin(φ) + ycos(φ)
Note:
φ = angle in degrees
x = 0
y = polygon_radius
The formula above assumes rotation around the origin.
In our case, we are rotating around the centroid.
To account for this, we use the formula below
X = xcos(φ) + ysin(φ) + centroid_x
Y = −xsin(φ) + ycos(φ) + centroid_y
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