Hinged Dissections: From Equilateral Triangle to Square

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

How to cut an equilateral triangle so that the pieces can be reassembled to form a square was discovered by Dudeney in the 1900s. This Demonstration includes his method along with two other versions (discovered by Greg Frederickson a hundred years later) that show that the pieces can be linked with imaginary hinges to close back and forth from triangle to square and vice versa.

Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send