Building 3D Fractals

These Think Maths worksheets have all the instructions and printable nets required to build 3D fractals, both a Menger Sponge and a Sierpinski Tetrahedron. They work fine on A4 plain paper, but when printed on A3 card, they can result in some truly impressive structures.

As a festive twist, there is a third worksheet and net to build an entire fractal Christmas Tree, complete with a Koch Snowflake star on the top. We've also got a set of follow-on activities sheets about these and other fractals.

If you build any of these fractals, please do send us a photo of your achievement! We've got a gallery of existing photos sent in by schools.

For more information about these resources, or to ask about Think Maths sessions and workshops, email

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