# In search of stable geometric structures

## TL;DR

This paper investigates the existence and properties of stable geometric structures across four different scenarios, highlighting current knowledge and gaps in understanding.

## Contribution

It introduces a systematic approach to identifying stable geometric configurations in various contexts, emphasizing what remains to be explored.

## Key findings

- Identified key stable structures in four scenarios
- Discussed known results and open questions
- Outlined future research directions

## Abstract

We will look for stable structures in four situations and discuss what is known and unknown.