Take and Make: Icosahedron from Golden Rectangles

Josephine ShengMaking Math, Math at Home, Sharing Ideas, Take and Make, We think math is fun!, Zoom Friendly2 Comments

We were inspired by a post on Twitter by Olivier Longuet shown below.

The object in the photo is an icosahedron, a 20-sided 3D shape, made out of three golden rectangles with side lengths that obey the golden ratio (1:1.618033…).

To make a cardboard version of the icosahedron, print out this document and follow the instructions!

You can also make this out of wood or other materials that can be laser cut. Our files including cardboard template and more directions are here if you want a pdf, svg, Corel, or AI file.   If you make the frame for wood be sure to make the center channel the same thickness (or just over) as your board.  Proportions are always 1: 1.618 short side to long side and the slot is going to be 1.618 – .5 in length.  Have fun!



2 Comments on “Take and Make: Icosahedron from Golden Rectangles”

  1. I made an icosahedron with 60 matchsticks and glue when I was 22. It turned out really well. I still have the picture of it. Wish I could post it here.

  2. Pingback: Homeschool Day at the Austin Zoo 2021 - Math Happens

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