Haga's theorems in paper folding and related theorems in Wasan geometry Part 2

TL;DR

This paper generalizes Wasan geometry problems related to Haga's origami fold, providing a parametric representation of the generalized fold through tangent circles, expanding understanding of geometric constructions without folded figures.

Contribution

It introduces a parametric method to describe generalized Haga's folds in Wasan geometry using tangent circles, extending prior work on origami-based geometric theorems.

Findings

Parametric representation of generalized Haga's fold

Use of tangent circles in geometric problem solving

Extension of origami-based geometric theorems

Abstract

We generalize problems in Wasan geometry which involve no folded figures but are related to Haga's fold in origami. Using the tangent circles appeared in those problems we give a parametric representation of the generalized Haga's fold given in the first part of this two-part paper.