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By George Hart for the Museum of Mathematics

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Last week’s Math Monday column looked at a tricky construction of four equilateral triangles. Let’s revisit it, but instead of using paper, we’ll use square sticks. These twelve identical wood parts fit together using 60-degree half-lap joints.

4triangles wood Math Monday: Four Triangles Again

This wood version is made from 3/8 inch square stock, with slots cut as indicated below. It is easy to make these with a table saw or radial arm saw. Assembling them so each triangle links symmetrically with the other three triangles is the tricky part.

4triangles plan Math Monday: Four Triangles Again

Alternatively, you can make the components on a 3D printer. Then the lap joints don’t need to be cut. They are formed as the piece is built up. If you have access to a 3D printer, you can make your own copy using the STL file available here.

4triangles plastic Math Monday: Four Triangles Again

More:
See all of George Hart’s Math Monday columns

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.


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