Week 17: Sierpinski in 3D Building Toys

My Building partner and our Menger Sponge

This week break out your blocks (or whatever building toy you enjoy). We are building a Sierpinski cube (Menger Sponge) or Sierpinski tetrahedron. I would also encourage learners to create their own shape and expand on it to create a self-similar sculpture or fractal (think what each iteration would look like).

Here are a few options for building:

1.) Use this link for a paper model (good for a short class or quick project).

2.) Use toothpicks and gumdrops, cardboard, paper, aluminum foil or other handy building tools in the house.

3.) Use lego (I try not to show learners pictures of the tool they are going to use. I think it’s important to figure it out and discover.)

4.) Try Lux blox – this took us quite a while for the third iteration, but it was fun. We found that for the first three sides we needed to build inward to “figure it out.” My daughter built the last two sides while I build inward. It was a lot of fun.

3 iterations

5. Goobi toys are great and my kids and I have built many fractals with them as well. Below is the Sierpinski tetrahedron.

About fractalkitty

Lover of math, art, literature, and life.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s