Folding and Cutting a Square
Problem
Solution
As a matter of fact, regardless of the sequence of moves, the result is always eight cuts midway between the grid lines:
One proof is by induction.
Acknowledgment
The problem is not original but unfortunately I can't recollect the source.
- An Interesting Example of Angle Trisection by Paperfolding
- Angle Trisection by Paper Folding
- Angles in Triangle Add to 180o
- Broken Chord Theorem by Paper Folding
- Dividing a Segment into Equal Parts by Paper Folding
- Egyptian Triangle By Paper Folding
- Egyptian Triangle By Paper Folding II
- Egyptian Triangle By Paper Folding III
- My Logo
- Paper Folding And Cutting Sangaku
- Parabola by Paper Folding
- Radius of a Circle by Paper Folding
- Regular Pentagon Inscribed in Circle by Paper Folding
- Trigonometry by Paper Folding
- Folding Square in a Line through the Center
- Tangent of 22.5o - Proof Without Words
- Regular Octagon by Paper Folding
- The Shortest Crease
- Fold Square into Equilateral Triangle
- Circle Center by Paperfolding
- Folding and Cutting a Square
|Contact| |Front page| |Contents| |Geometry| |Triangle constructions|
Copyright © 1996-2018 Alexander Bogomolny73575539