Hourglass pattern plot using python

 

import numpy as np

import matplotlib.pyplot as plt

x = np.linspace(-1, 1, 100)

y_upper = 1 - abs(x)  

y_lower = abs(x) - 1  

fig, ax = plt.subplots(figsize=(6, 6))

ax.fill_between(x, y_upper, 1, color="royalblue", alpha=0.7)  

ax.fill_between(x, y_lower, -1, color="tomato", alpha=0.7)  

ax.set_xlim(-1.2, 1.2)

ax.set_ylim(-1.2, 1.2)

ax.set_xticks([])

ax.set_yticks([])

ax.set_frame_on(False)

ax.axhline(0, color="black", linewidth=1.2, linestyle="--") 

plt.title("Hourglass Pattern Plot")

plt.show()

#source code --> clcoding.com 

Code Explanation:

Import Necessary Libraries

import numpy as np

import matplotlib.pyplot as plt

numpy is used to generate numerical data (e.g., linspace for smooth curves).

matplotlib.pyplot is used for visualization.

Define X-Coordinates for the Plot

x = np.linspace(-1, 1, 100)

np.linspace(-1, 1, 100): Generates 100 evenly spaced points between -1 and 1.

These x values will be used to define the hourglass shape.

Define Y-Coordinates for Upper and Lower Triangles

y_upper = 1 - abs(x)  

y_lower = abs(x) - 1  

y_upper = 1 - abs(x):

This represents the upper inverted triangle.

As x moves from -1 to 1, the y values decrease from 1 to 0 symmetrically.

y_lower = abs(x) - 1:

This represents the lower triangle.

As x moves from -1 to 1, the y values increase from -1 to 0 symmetrically.

Together, they form an hourglass shape!

Create the Plot

fig, ax = plt.subplots(figsize=(6, 6))

fig, ax = plt.subplots(figsize=(6, 6)):

Creates a square-shaped figure of size 6x6.

Fill the Upper and Lower Triangles

ax.fill_between(x, y_upper, 1, color="royalblue", alpha=0.7)  

ax.fill_between(x, y_lower, -1, color="tomato", alpha=0.7)

fill_between(x, y_upper, 1, color="royalblue", alpha=0.7):

Fills the area between y_upper and 1 with blue.

fill_between(x, y_lower, -1, color="tomato", alpha=0.7):

Fills the area between y_lower and -1 with red.

alpha=0.7:

Transparency of 70% (makes colors blend better).

Adjust Axis Limits and Appearance

ax.set_xlim(-1.2, 1.2)

ax.set_ylim(-1.2, 1.2)

ax.set_xticks([])

ax.set_yticks([])

ax.set_frame_on(False)

ax.set_xlim(-1.2, 1.2): Expands x-axis slightly beyond -1 and 1.

ax.set_ylim(-1.2, 1.2): Expands y-axis slightly beyond -1 and 1.

ax.set_xticks([]): Removes x-axis tick marks.

ax.set_yticks([]): Removes y-axis tick marks.

ax.set_frame_on(False): Removes the border around the plot.

Add a Symmetry Line

ax.axhline(0, color="black", linewidth=1.2, linestyle="--")

axhline(0, color="black", linewidth=1.2, linestyle="--"):

Draws a dashed black line at y = 0 to emphasize symmetry.

Add Title and Display Plot

ax.set_title("Hourglass Pattern Plot", fontsize=14, fontweight="bold")

plt.show()

set_title("Hourglass Pattern Plot", fontsize=14, fontweight="bold"):

Adds a bold title with font size 14.

plt.show():

Displays the final hourglass pattern.