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Structural design of the echinoid's trabecular system.

Tobias B Grun¹, James H Nebelsick¹

¹Department of Geosciences, University of Tübingen, Tübingen, Germany.

|September 28, 2018

Summary

The echinoid skeleton

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Area of Science:

Marine Biology
Biomechanics
Paleontology

Background:

Echinoid skeletons (stereom) are lightweight, micro-beam frameworks.
The 2D design of stereom is known, but its 3D spatial architecture is not well understood.
Understanding spatial architecture is crucial for interpreting its load-bearing principles.

Purpose of the Study:

To analyze the spatial architecture of the echinoid trabecular system.
To investigate the structural principles of this load-bearing construction.

Main Methods:

Analysis of the echinoid's trabecular system using eight topological descriptors.
Division of echinoid plates into central (unordered stereom) and marginal (ordered stereom) regions.

Main Results:

Basal topology of both plate regions is similar.
The trabecular system features short, stocky, and minimally tortuous trabeculae.
Majority of trabeculae form 3N configurations (three trabeculae meeting at a node) with ~120° angles, creating planar, triangular motifs.
Trabeculae exhibit a 60° orientation perpendicular to the plate surface and directional orientation in the horizontal plane.
These orientations effectively resist multi-dimensional loads and distribute stress across the skeleton.

Conclusions:

The spatial architecture of the echinoid trabecular system is a performative, lightweight, and load-bearing system.
The structural design efficiently manages applied loads, highlighting evolutionary adaptations for skeletal integrity.

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