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Updated: Jan 15, 2026

Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles

Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles

Published on: May 8, 2015

Space-filling discrete helices.

Jayanth R Banavar¹, Achille Giacometti^2,3, Trinh X Hoang⁴

¹Department of Physics and Institute for Fundamental Science, University of Oregon, 1371 E. 13th Ave., Eugene, Oregon 97403, USA.

The Journal of Chemical Physics

|October 15, 2025

Summary

This summary is machine-generated.

Researchers deduced protein structures from basic principles, finding a helical form matching the alpha-helix. This suggests geometry and quantum chemistry are key to understanding protein folding and function.

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Area of Science:

Biophysics
Structural Biology
Quantum Chemistry

Background:

Proteins are essential linear molecules vital for life and health.
Protein structures are modular assemblies of alpha-helices, beta-sheets, and turns.
Understanding protein folding is crucial for biological and medical research.

Purpose of the Study:

To deduce space-filling helical structures from first principles.
To identify potential structural candidates for protein building blocks.
To explore the relationship between protein geometry and quantum chemistry.

Main Methods:

Developed a theoretical model for uniform discrete thick strings.
Deduced helical forms based on fundamental physical principles.
Analyzed geometric and quantum chemical properties of deduced forms.

Main Results:

Identified a countable set of space-filling helical forms.
One deduced helical form geometrically matches the alpha-helix structure.
Observed quantum chemistry coincidences supporting the alpha-helix identification.

Conclusions:

Protein structures can be derived from fundamental geometric and physical principles.
The alpha-helix structure emerges from these principles, linking geometry and chemistry.
This work provides a foundation for a unified framework for protein understanding.