Hollow Triangle Pattern Plot using python

 

import matplotlib.pyplot as plt

def plot_hollow_triangle(rows=5):

    # Define triangle vertices

    x1, y1 = 0, 0

    x2, y2 = rows - 1, 0

    x3, y3 = (rows - 1) / 2, np.sqrt(3) * (rows - 1) / 2  

    points = set()

    for i in range(rows):

        points.add((i, 0))

        lx = x1 + (x3 - x1) * i / (rows - 1)

        ly = y1 + (y3 - y1) * i / (rows - 1)

        points.add((lx, ly))

        rx = x2 + (x3 - x2) * i / (rows - 1)

        ry = y2 + (y3 - y2) * i / (rows - 1)

        points.add((rx, ry))

x_vals, y_vals = zip(*points)

    plt.figure(figsize=(6, 6))

    plt.scatter(x_vals, y_vals, color='black',s=400)

    plt.title("Hollow Equilateral Triangle Dot Pattern", fontsize=14)

    plt.xticks([])

    plt.yticks([])

    plt.gca().set_frame_on(False) 

    plt.show()

plot_hollow_triangle(rows=10)

#source code --> clcoding.com 

Code Explanation:

1. Importing Libraries

import matplotlib.pyplot as plt

matplotlib.pyplot is used for plotting the dot pattern.

2. Function Definition

def plot_hollow_triangle(rows=5):

Defines a function plot_hollow_triangle(rows=5), where rows determines the size of the triangle.

3. Defining Triangle Vertices

x1, y1 = 0, 0

x2, y2 = rows - 1, 0

x3, y3 = (rows - 1) / 2, np.sqrt(3) * (rows - 1) / 2

These coordinates represent the three vertices of an equilateral triangle:

(x1, y1) = (0, 0): Left vertex (bottom-left)

(x2, y2) = (rows - 1, 0): Right vertex (bottom-right)

4. Storing Boundary Points

points = set()

A set named points is created to store (x, y) coordinates for plotting.

5. Generating Points for Triangle Edges

for i in range(rows):

Iterates i times to generate dots along the three edges of the triangle.

Bottom Edge (Base)

points.add((i, 0))

Places i dots along the bottom edge (x-axis).

Left Edge (Interpolated)

lx = x1 + (x3 - x1) * i / (rows - 1)

ly = y1 + (y3 - y1) * i / (rows - 1)

points.add((lx, ly))

Uses linear interpolation to calculate intermediate points from (x1, y1) → (x3, y3).

Right Edge (Interpolated)

rx = x2 + (x3 - x2) * i / (rows - 1)

ry = y2 + (y3 - y2) * i / (rows - 1)

points.add((rx, ry))

Uses linear interpolation to calculate intermediate points from (x2, y2) → (x3, y3).

6. Plotting the Points

x_vals, y_vals = zip(*points)

plt.figure(figsize=(6, 6))

plt.scatter(x_vals, y_vals, color='black')

Extracts x and y coordinates from points and plots them using plt.scatter().

7. Adding a Title

plt.title("Hollow Equilateral Triangle Dot Pattern", fontsize=14, fontweight='bold')

Adds a title to the plot with bold font and size 14.

8. Removing Borders and Ticks

plt.xticks([])

plt.yticks([])

plt.gca().set_frame_on(False)

Removes x and y ticks for a clean look.

Removes the surrounding border (frame).

9. Displaying the Plot

plt.show()

Displays the triangle pattern.