On a class of $(15_4 \, 20_3)$-configurations reflecting abstract properties of a perspective between tetrahedrons

TL;DR

This paper classifies all schemes of abstract perspectives between two tetrahedrons where intersecting edges correspond under the perspective, revealing underlying combinatorial structures.

Contribution

It provides a complete classification of abstract perspective schemes between tetrahedrons with edge intersection correspondence.

Findings

Complete classification of perspective schemes between tetrahedrons

Identification of combinatorial properties of these schemes

Insights into abstract geometric relations

Abstract

In the paper we give a complete classification of schemes of abstract perspectives between two tetrahedrons such that intersecting edges corespond under this perspective to intersecting edges.