Equilateral Triangle Pattern Plot using Python

import matplotlib.pyplot as plt

rows = 5

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

for i in range(rows):

    for j in range(i + 1):

        x = j - i / 2  

        y = -i

        plt.scatter(x, y, s=500, c='blue')

plt.xlim(-rows / 2, rows / 2)

plt.ylim(-rows, 1)

plt.axis('off')

plt.gca().set_aspect('equal', adjustable='datalim')

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

plt.show()

#source code --> clcoding.com 

Code Explanation:

1. Importing Required Libraries

import matplotlib.pyplot as plt

import numpy as np

matplotlib.pyplot → Used for plotting the pattern.

numpy → Imported but not used in this code. It can be removed.

2. Defining the Number of Rows

rows = 5

Defines the height of the equilateral triangle as 5 rows.

3. Creating the Figure

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

Creates a figure of size 6x6 inches to display the pattern properly.

4. Generating the Equilateral Triangle Pattern Using Nested Loops

for i in range(rows):  # Loops through each row (i)

    for j in range(i + 1):  # Increasing dots in each row

        x = j - i / 2  # Centering the triangle

        y = -i  # Y-coordinates for arranging rows from top to bottom

        plt.scatter(x, y, s=500, c='blue')  # Plots a blue dot

Outer loop (i) → Controls the number of rows.

Inner loop (j) → Controls the number of dots per row:

Row 0 → 1 dot

Row 1 → 2 dots

Row 2 → 3 dots

Row 3 → 4 dots

Row 4 → 5 dots

Plotting the dots:

plt.scatter(x, y, s=500, c='blue')

s=500 → Sets dot size.

c='blue' → Sets dot color to blue.

5. Adjusting Plot Limits

plt.xlim(-rows / 2, rows / 2)  

plt.ylim(-rows, 1)  

plt.xlim(-rows / 2, rows / 2) → Centers the triangle horizontally.

plt.ylim(-rows, 1) → Adjusts the vertical range to fit the triangle.

6. Formatting the Plot

plt.axis('off')  

plt.gca().set_aspect('equal', adjustable='datalim')  

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

plt.axis('off') → Hides the axes for a cleaner look.

plt.gca().set_aspect('equal', adjustable='datalim') → Ensures that dot spacing remains uniform.

plt.title("Equilateral Triangle Pattern Plot", fontsize=14) → Adds a title.

7. Displaying the Final Output

plt.show()

Displays the equilateral triangle pattern.