From three-dimensional weavings to swollen corneocytes.

Area of Science:

• Materials Science
• Structural Biology
• Geometry

Background:

• Periodic arrays of fibers can form complex 3D structures.
• Understanding the mechanical properties and potential applications of these structures is crucial.

Purpose of the Study:

• To introduce a novel technique for generating 3D Euclidean weavings.
• To investigate the dilatant properties of these weavings upon fiber shape modification.
• To explore potential biological relevance and applications in materials design.

Main Methods:

• Development of a technique to construct 3D Euclidean weavings from 1D fibers.
• Analysis of the volumetric changes in weavings through fiber shape alterations, specifically straightening.
• Characterization of a chiral cubic weaving (G(129) weaving) and its expansion properties.

Main Results:

• A novel method for creating 3D Euclidean weavings is presented.
• Certain weavings exhibit dilatancy, expanding significantly (e.g., >5x) upon fiber straightening.
• The G(129) weaving demonstrates a large, tunable variation in packing density without compromising structural integrity.

Conclusions:

• 3D Euclidean weavings offer a unique platform for materials with tunable density and rigidity.
• The G(129) weaving's properties suggest potential applications in advanced materials.
• The G(129) weaving's structure may be biomimetic, potentially found in mammalian skin keratin.