Hinged Dissections: From Equilateral Triangle to Square

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
detailSectionParagraphPermanent Citation
"Hinged Dissections: From Equilateral Triangle to Square"
http://demonstrations.wolfram.com/HingedDissectionsFromEquilateralTriangleToSquare/
Wolfram Demonstrations Project
Published: March 7 2011