Curved Quasi-Hex Lattice Mechanics in the Vertebral Column: A Geometry-to-Dynamics, Measurement-First Framework

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Abstract

This work examines axial support systems across biological lineages as a unified structural solution to the coupled problems of load-bearing, oscillatory forcing, and internal organization. Rather than treating vertebral columns, notochords, or organ layouts as independent evolutionary features, we frame them as components of a single constraint-driven architecture: a segmented axial load path with distributed compliance and resonance suppression. We develop a geometry-to-dynamics framework that begins with measurable axial geometry (including segmentation, curvature, and quasi-polygonal cross-sectional tendencies), extends to micro-architectural adaptation (trabecular orientation and junction statistics), and…

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Topics & keywords

Keywords
  • Topology (electrical circuits)
  • Vibration
  • Lattice (music)
  • Finite element method
  • Work (physics)
  • Terrestrial locomotion
  • Frame of reference
  • Control theory (sociology)
UN Sustainable Development Goals
  • Industry, innovation and infrastructure
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