Find all your DIY electronics in the MakerShed. 3D Printing, Kits, Arduino, Raspberry Pi, Books & more!
Math_Monday_banner_600px.gif

Tetraxis puzzle

By George Hart for the Museum of Mathematics

tetraxis Math Monday: Tetraxis puzzle

People have been making geometric puzzles for centuries, with each design adding new twists. At The Museum of Mathematics, we have a large puzzle called the tetraxis, shown above. The name comes from the fact that the pieces line up along four axes. Most people are familiar with the 90 degree relationship between the standard XYZ axes, but are confounded by these parts, which line up in the directions of the four long diagonals of a cube. This puzzle was made by John and Jane Kostick, who incorporated magnets to make the parts lock together nicely. The outer shape comes from a family of related puzzles by Stewart Coffin, whose book The Puzzling World of Polyhedral Dissections, gives instructions for woodworkers on making their own copies of many geometric puzzles.

tetraxis part Math Monday: Tetraxis puzzle

You can make your own paper version by cutting out twelve copies of the above template, folding on the dotted lines, and taping them closed.

tetraxis paper Math Monday: Tetraxis puzzle

Then put the twelve identical parts together to make the form shown at right. Since the paper version has no magnets to hold it together, you may want to tape them to each other. Can you assemble the twelve parts as shown using three rubber bands that hold it together and indicate the XYZ planes? For an extra challenge, make three pieces in each of four colors or four pieces in each of three colors and see what symmetric color patterns you can create.

More:
Math Monday: Giant Zometool sculpture
Math Monday: Giant burr puzzles
Math Monday: Fractal polyhedra clusters
Math Monday: Giant SOMA puzzle
Math Monday: Tie your bagel in a knot!
Math Monday: Playing card constructions
Introducing “Math Monday”

Gareth Branwyn

Gareth Branwyn is a freelancer writer and the former Editorial Director of Maker Media. He is the author or editor of a dozen books on technology, DIY, and geek culture, including the first book about the web (Mosaic Quick Tour) and the Absolute Beginner’s Guide to Building Robots. He is currently working on a best-of collection of his writing, called Borg Like Me.


Related
blog comments powered by Disqus

Related Supplies at Maker Shed

Follow

Get every new post delivered to your Inbox.

Join 28,201 other followers