Sierpinski Tetrahedron

Procedure

First we will discuss how to create a unit tetrahedron.

First fold
First cut
Fold again
Open and fold again
Open and fold again

Having made individual tetrahedrons, now tape four together to make a larger shape.

To do this place and tape three small tetrahedrons together to form a base, then place and tape the fourth on top to the other three (like a pile of cannon balls). This will look like a pyramid with a hole in the middle.

Then take four of these shapes and make a larger shape in the same manner. At this stage we have used sixteen tetrahedrons.

Finally, put four of these shapes together to make the completed tetrahedron using sixty-four envelopes.

To go one more stage will require 256 envelopes in total and a lot of tape, time, patience, cleverness and cooperation to make it all fit.

The base and the completed first stage tetrahedron

Return to Sierpinski Tetrahedron Project.