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By George Hart for the Museum of Mathematics

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What could sound easier than to make a regular construction from four paper equilateral triangles? One possible construction is the regular tetrahedron, which is pretty easy. Here is a different construction from four equilateral triangles. Each triangle is linked with the other three, like two links of a chain.

4triangles paper Math Monday: Four Paper Triangles

Use this template, in which each triangle has a hole cut from it, with exactly half the edge length. You’ll need to cut through three of them to link them together. After you assemble them properly, you can tape the cut back together.

4triangles template Math Monday: Four Paper Triangles

Cory Poole took this idea and miniaturized it, making a lovely pair of geometric earrings from paper painted with metallic paint.

4triangles earrings Math Monday: Four Paper Triangles

Instructions for assembling the triangles are available here, along with other polygon assembly challenges.

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 over a dozen books on technology, DIY, and geek culture. He is currently a contributor for Boing Boing and WINK Books. And he has a new best-of writing collection and “lazy man’s memoir,” called Borg Like Me.


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