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arXiv cs.GR
arXiv cs.GR Research
· 5 months ago • Tolga Talha Y{\i}ld{\i}z, U\u{g}ur \"Onal, Vinayak R. Krishnamurthy, Ergun Akleman

Twisted Edges: A Unified Framework for Designing Linked Knot (LK) Structures Using Labeled Non-Manifold Surface Meshes

Briefing

Twisted Edges presents a groundbreaking approach to designing Linked Knot (LK) structures by utilizing labeled non-manifold surface meshes. By moving beyond binary twisting, this framework allows for arbitrary integer twist labels, significantly enhancing the potential for structural and dynamic behaviors in mesh design. Developers should take note of how this can transform the creation of chainmail-like structures that maintain connectivity even with complex twists.

This innovation not only supports the design of functional hinges and dynamic folding but also opens up new avenues for exploring previously unstudied woven structures. As the framework corresponds to knotted surfaces in four dimensions, it provides a fresh perspective on mesh design that could inspire new gameplay mechanics and visual styles in future projects.

“This work establishes a coherent paradigm for the systematic exploration of woven structures.”

— Tolga Talha Yıldız · Highlighting the framework's impact on design exploration.
What do you think?
How do you see the application of integer twist labels impacting your current projects? What challenges have you faced with non-manifold meshes, and how might this framework help?
Start the discussion
Original source
Read on arXiv cs.GR
At a glance
what
Introduction of the Twisted Edges framework for LK structures
who
Authors: Tolga Talha Yıldız, Uğur Önal, Vinayak R. Krishnamurthy, Ergun Akleman
when
Submitted on 13 Apr 2026, last revised 5 May 2026
impact
Enables dynamic, articulated structures in game design
Signal Positive

This framework significantly enhances design capabilities for developers.

graphics mesh design topology
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Story Timeline (5 sources)

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