Polygons in a circle

This is a python script that generates images of polygons inscribed in circles, by utilizing the svg format.

Requirements

• Python 3.5 or higher
• sympy module

Usage

The script provides the following functions:

• makeCircle(): Generates a circle with a random fill color.
• rotate(degrees, image): Rotates the image (in degrees) with respect to the center of the circle.
• scaleDown(scale, image): Scales down the image according to the specified scale and shifts it to the center of the circle.
• reflect(image): Reflects the image about the vertical axis of symmetry.
• makePolygon(prime): Generates a polygon with prime sides inscribed in the circle.
• composeShape(prime, image): Generates a composed shape with prime sub-images and an input image.
• wrapCanvas(stuffInside): Wraps the stuffInside inside an svg canvas with background color black.

To use the script, simply call the desired functions within the script or create a separate python file and import the functions.

Example

An example use of the script is to generate an image of a hexagon and a square inscribed in a circle:

from sympy.ntheory import factorint

# define primes
hexagon = 6
square = 4

# make the shapes
hexShape = makePolygon(hexagon)
sqShape = makePolygon(square)

# compose the shapes
composed = composeShape(hexagon, sqShape)

# wrap the image
finalImage = wrapCanvas(composed)

# write the image to file
with open('hexagon_and_square_in_circle.svg', 'w') as f:
    f.write(finalImage)

Notes

The script is an implementation of inscribing polygons in circles and is inspired by the following stackoverflow post. The script is scalable to generate polygons with a high number of sides, but note that generating an image of a polygon with a very large number of sides may result in long processing times.