A novel generalization of Clifford's classical point-circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian KP equation

TL;DR

This paper introduces a new generalization of Clifford's classical point-circle configuration and explores its geometric properties, establishing a link with the integrable quaternionic discrete Schwarzian KP equation.

Contribution

It presents a novel generalization of Clifford's configuration and connects it to the quaternionic discrete Schwarzian KP equation, providing new insights into their geometric and algebraic structures.

Findings

New generalization of Clifford's configuration

Connection with quaternionic discrete Schwarzian KP equation

Enhanced understanding of geometric properties

Abstract

The algebraic and geometric properties of a novel generalization of Clifford's classical C4 point-circle configuration are analysed. A connection with the integrable quaternionic discrete Schwarzian Kadomtsev-Petviashvili equation is revealed.