# Fractality in selfsimilar minimal mass structures

## TL;DR

This paper explores how fractality and self-organized criticality emerge in mechanical systems, specifically through mass minimization and stability in elastic structures, providing an analytical perspective.

## Contribution

It introduces an analytical framework linking fractality and criticality to mass minimization and stability in tensegrity structures, a novel insight in mechanical systems.

## Key findings

- Fractality and criticality relate to mass minimization.
- Stability conditions influence fractal structures.
- Analytical model of tensegrity structures supports findings.

## Abstract

In this paper we study the diffusely observed occurrence of Fractality and Self-organized Criticality in mechanical systems. We analytically show, based on a prototypical compressed tensegrity structure, that these phenomena can be viewed as the result of the contemporary attainment of mass minimization and global stability in elastic systems.