English

Biflippers and head to tail composition rules

Metric Geometry 2015-08-11 v2 Group Theory

Abstract

A new graphical calculus for operating with isometries of low dimensional spaces of classical geometries is proposed. It is similar to a well-known graphical representation for vectors and translations in an affine space. Instead of arrows, we use biflippers, which are arrows framed at the end points with subspaces. The head to tail addition of vectors and composition of translations is generalized to head to tail composition rules for isometries.

Keywords

Cite

@article{arxiv.1412.2397,
  title  = {Biflippers and head to tail composition rules},
  author = {Oleg Viro},
  journal= {arXiv preprint arXiv:1412.2397},
  year   = {2015}
}

Comments

In version 2: added five references, corrected typos

R2 v1 2026-06-22T07:22:54.540Z