Building 3D Fractals

BUILD A SIERPINSKI TETRAHEDRON

We have two different models of tetrahedron net that you can use.

NETS
To build a tetrahedron from one of the nets ‘with SMALL tabs’, you will need to use glue or sellotape to construct each individual tetrahedron (aswell as to join tetrahedrons together).

Using the ‘with BIG tabs’ version, means a net can be folded to make a tetrahedron without any sticking or tape required. It saves on a lot of mess! (You still need to tape to join multiple tetrahedrons together).
For this version, we advise using card (200gsm, or heavier). We’ve trialled making a Level 4 tetrahedron with 220gsm paper, so with decent folds and a good technique for joining multiple tetrahedrons together (see below), any Sierpinski Tetrahedron up to and including this level this should be structurally sound.

TAPING TETRAHEDRONS TOGETHER
Whichever net you use, for your structure to be sound, it’s important you sellotape the tetrahedrons together well.
Use the power point linked below so you can show the students how to do this, (the ‘How to sellotape’ document goes into this in more detail for you). Note the PPT has automatic timings, and plays on a continuous loop until you escape.
We advise tape that is standard width (not the mini rolls), and find the branded ‘Sellotape’ is often more effective than other types.

BUILD A MENGA SPONGE

MAKE A FRACTAL CHRISTMAS TREE

As a festive twist, use this worksheet to build an entire fractal Christmas Tree, complete with a Koch Snowflake star on the top.