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arXiv cs.GR
arXiv cs.GR Research
· 4 months, 3 weeks ago • Eric Zimmermann, Stefan Bruckner

Stitching Arrowhead Curves: Extending the Sierpinski Arrowhead Curve to Higher Dimensions

Briefing

This article explores the extension of the Sierpinski arrowhead curve into higher dimensions, a significant advancement for graphics programming. The authors, Eric Zimmermann and Stefan Bruckner, provide a framework for visualizing these complex curves through reproduction rules, which can be particularly impactful for designers looking to incorporate fractal patterns into their work.

Developers should pay attention to this research as it opens new avenues for artistic expression in game design and related fields. The application of these geometric patterns in fashion, such as knitwear, demonstrates the crossover potential between art and technology, offering a fresh perspective on how fractals can influence visual aesthetics in digital environments.

“We demonstrate a way to visualize such curves across levels.”

— Eric Zimmermann · Discussing the visualization approach in the paper.
Original source
Read on arXiv cs.GR
At a glance
what
Extension of the Sierpinski arrowhead curve to higher dimensions
who
Eric Zimmermann and Stefan Bruckner
when
Submitted on 21 Apr 2026, last revised 5 May 2026
impact
Provides new visualization techniques for graphics programming
Signal Positive

The research offers innovative techniques for visual design.

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