Pentagonal grid pattern plot using python

 

import matplotlib.pyplot as plt

import numpy as np

def draw_pentagon(ax,center,size):

    angles=np.linspace(0,2*np.pi,6)[:-1]+np.pi/10

    x=center[0]+size*np.cos(angles)

    y=center[1]+size*np.sin(angles)

    ax.plot(np.append(x,x[0]),np.append(y,y[0]),'b')

def draw_five_pentagons(size=1.0):

    fig,ax=plt.subplots(figsize=(8,8))

    positions=[(0,0),(1.5*size,0),(-1.5*size,0),(0.75*size,np.sqrt(3)*size),(-0.75*size,np.sqrt(3)*size)]

    for pos in positions:

        draw_pentagon(ax,pos,size)

 ax.set_aspect('equal')

    ax.axis('off')

    plt.title('Pentagonal grid pattern plot')

    plt.show()

draw_five_pentagons()

#source code --> clcoding.com 

Code Explanation:

Imports

import matplotlib.pyplot as plt

import numpy as np

matplotlib.pyplot → Used for plotting the pentagons.

numpy → Used for numerical calculations, particularly for computing pentagon vertices.

Function: draw_pentagon

def draw_pentagon(ax, center, size):

    """Draws a pentagon given a center and size."""

Defines a function draw_pentagon that takes:

ax: Matplotlib axes where the pentagon will be drawn.

center: Coordinates (x, y) where the pentagon is placed.

size: The radius or size of the pentagon.

    angles = np.linspace(0, 2 * np.pi, 6)[:-1] + np.pi / 10

np.linspace(0, 2 * np.pi, 6) → Generates 6 equally spaced angles from 0 to 

2π (full circle).

[:-1] → Removes the last element to keep only 5 points (for a pentagon).

+ np.pi / 10 → Rotates the pentagon slightly for proper orientation.

    x = center[0] + size * np.cos(angles)

    y = center[1] + size * np.sin(angles)

Computes the x and y coordinates of the pentagon vertices using trigonometric functions:

np.cos(angles) → Calculates the x-coordinates.

np.sin(angles) → Calculates the y-coordinates.

    ax.plot(np.append(x, x[0]), np.append(y, y[0]), 'b')

np.append(x, x[0]) → Ensures the first and last points are connected to close the pentagon.

ax.plot(..., 'b') → Plots the pentagon outline with a blue ('b') color.

Function: draw_five_pentagons

def draw_five_pentagons(size=1.0):

    """Draws exactly five pentagons."""

Defines a function to draw exactly five pentagons with a given size.

    fig, ax = plt.subplots(figsize=(8, 8))

Creates a figure (fig) and axes (ax) with a size of 8×8 inches.

    positions = [(0, 0), (1.5 * size, 0), (-1.5 * size, 0), 

                 (0.75 * size, np.sqrt(3) * size), (-0.75 * size, np.sqrt(3) * size)]

Defines five fixed positions where pentagons will be placed:

(0, 0) → Center pentagon.

(±1.5 * size, 0) → Left and right pentagons.

(±0.75 * size, np.sqrt(3) * size) → Two pentagons above.

    for pos in positions:

        draw_pentagon(ax, pos, size)

Iterates through the positions list and calls draw_pentagon(ax, pos, size) to draw each pentagon.

    ax.set_aspect('equal')

Ensures equal scaling so the pentagons do not appear distorted.

    ax.axis('off')

Hides the x and y axes for a cleaner visual appearance.

    plt.title("Pentagon grid pattern plot")

Sets a title for the plot.

    plt.show()

Displays the final pentagon plot.