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Origami puzzle
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Anthony Wang 2024-03-04 14:15:13 -05:00
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---
title: "An Origami Puzzle"
date: 2024-03-04T14:14:26-05:00
description: "An origami puzzle, or more accurately, three origami puzzles"
type: "post"
tags: ["puzzle", "math", "geometry", "origami"]
---
Let's say you have a square piece of paper (so yes, you should obtain a square piece of paper right now). It's pretty easy to fold the paper in half: bring one side of the square to the opposite side and make a crease down the middle of the paper. It's also easy to fold the paper into fourths: fold the side over so that it lines up with the crease you just made in the middle. You can repeat this process to divide a square into any power of two. But what about folding the paper into thirds? Obviously, you aren't allowed to use a ruler, but you can and should use your brain!
Here's your next task. Squares are great and all, but triangles are cool too. Try folding an equilateral triangle starting from a square piece of paper. In fact, origami is more powerful than traditional compass and straightedge constructions, and you can fold any regular n-gon out of a square piece of paper, but let's just keep it simple for now and fold a triangle.
And finally, if you managed to survive those previous tasks, try folding a 3-4-5 right triangle. Good luck!