Derived system and dual sequence of a barypolygonal sequence -- Part 2

TL;DR

This paper extends the properties of derived systems and dual sequences from barypolygonal sequences, showing that previous results for p=3 also hold for p≥4, thus generalizing earlier findings.

Contribution

It generalizes the properties of derived systems and dual sequences of barypolygonal sequences from p=3 to p≥4, broadening the theoretical framework.

Findings

Results for p=3 are valid for p≥4

Properties of derived systems are established in full generality

The dual sequence maintains key properties across all p≥3

Abstract

Continuing the first part of this paper, the present one establishes in their full generality the properties of the derived system and of the dual sequence of any barypolygonal sequence: it is proven that the results obtained in the case p=3 remain valid if p$\ge$4.