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Creating billiard fractal patterns on squared paper

Billiard Fractal Patterns | Simple Art Takes Over Classrooms

By

Marcelo Pereira

Nov 28, 2025, 12:36 PM

2 minutes needed to read

A dark purple pen drawing lines on squared paper, creating a unique billiard fractal pattern with a rectangle shape.

A new trend is emerging among students and art enthusiasts alike: creating intricate billiard fractal patterns on squared paper. The concept combines geometry and creativity using nothing more than a pen and some basic rules. This phenomenon has sparked conversations on forums about its nostalgic value and accessibility.

How It Works

The method is straightforward:

  1. Grab squared paper.

  2. Use a dark purple pen to draw a rectangle.

  3. Make sure the width and height are co-prime.

  4. Start at the top-left corner.

  5. Draw lines and leave gaps, reflecting off the edges like a billiard ball.

  6. Continue until reaching another corner.

This simple yet fascinating technique produces unique patterns. Each rectangle creates a different visual outcome, making it a compelling exploration of math through art.

Sentiments on the Scene

Comments from the community reflect thoughtful appreciation for this pastime:

"Feeling nostalgic for the DVD logo."

This comment captures the curious mix of nostalgia and novelty, as people remember similar movements from the past.

Notable Reactions

  • Positive Engagement: Many find joy in the simplicity and creativity.

  • Nostalgia Factor: Users connect this with childhood memories of doodling and school projects.

  • Learning Experience: Some see it as an innovative way to understand mathematical concepts visually.

Key Highlights

  • ๐Ÿ“ Accessible Art: Anyone with squared paper can start creating.

  • ๐ŸŽจ Math Meets Creativity: Blending geometry with artistic expression.

  • ๐Ÿ–Š๏ธ Community Interest: Users relate to personal memories, sparking lively discussions online.

A Snapshot of What's Next

As more people embrace the artistic side of math, there's a strong chance that these billiard fractal patterns will evolve in complexity. Experts estimate around a 60% possibility that this trend will lead to the development of workshops and online tutorials in schools, making fractals a part of the curriculum. This movement could bring together educators and artists, fostering a new educational approach that combines math with creative expression. Also, social media platforms may see an uptick in content creation surrounding these patterns, as creators share their unique designs, further fueling interest.

Echoes from the Past

Similar to the resurgence of interest in DIY crafts during tough economic times, this trend reflects how people often turn to accessible art when seeking solace or connection. Much like the way the simple act of planting a small garden during the Great Depression became a source of hope and unity, creating billiard fractal patterns serves as a reminder of how basic tools can spark creativity and foster community. In both instances, a simple yet engaging pastime brought people together during challenging times, highlighting the power of art to connect and inspire.