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Updated: Jun 4, 2025

An Efficient and Flexible Cell Aggregation Method for 3D Spheroid Production
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Competing Hexagonal and Square Lattices on a Spherical Surface.

Han Xie1,2, Wenyu Liu1, Zhenyue Lu1

  • 1School of Physics and Key Laboratory of Functional Polymer Materials of Ministry of Education, Nankai University, and Collaborative Innovation Center of Chemical Science and Engineering, Tianjin 300071, China.

Nano Letters
|January 3, 2025
PubMed
Summary
This summary is machine-generated.

Researchers explored packed soft-core particles on spherical surfaces, revealing new domain and counter-domain defects when hexagonal and square patterns coexist. This work offers insights into tiling incompatibilities in natural systems.

Keywords:
Computer simulationsCurvature-induced frustrationGauss−Bonnet theoremSelf-assemblyTopological defectscounter-domain defects

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Area of Science:

  • Physics
  • Materials Science
  • Soft Matter Physics

Background:

  • Packed soft-core particles bridge concepts in solid-state and soft-matter physics.
  • Differential geometry influences defect properties in crystal lattices confined to spherical surfaces.

Purpose of the Study:

  • To investigate defect patterns in packed soft-core particles on a spherical surface.
  • To understand the coexistence of hexagonal and square patterns and their associated defects.

Main Methods:

  • Utilized molecular dynamics simulations.
  • Employed the Hertzian model to simulate particle interactions.

Main Results:

  • Observed the emergence of novel disclination patterns, specifically domain and counter-domain defects.
  • Demonstrated coexistence of hexagonal and square lattice patterns.

Conclusions:

  • Introduced a new perspective on the incompatibility between tiling lattice shapes and spherical surfaces.
  • Highlighted the relevance of these findings to natural systems, from molecular biology to architecture.