A Zometool follow up to our cuboctohedron project

Earlier in the week we studied the cuboctahedron:

cubeoctahedron

That project is here:

Playing wiht the Cuboctahedron

Also earlier in the week I saw these shapes displayed in the MIT math department:

The chance encounters with these shapes this week gave me the idea to revisit them today and see if we could build them with our zometool set. The second shape, I think, is mislabled in the MIT display case – or maybe they are just using a less common name. The usual name is the icosidodecahedron, and it is also a shape we’ve seen before:

 Snowman

I started the project today by showing the shapes to the boys and asking what they knew about them:

Then we went to the living room to build the shapes. The only tricky part is that the cuboctahedron needs green struts. As always, the wonderful thing about the Zometool set is that you can go from seeing these shapes on a page to holding them in your hand almost immediately!

The last part of the project was building the dual shape of the cuboctahedron. I wasn’t sure if the zome set would let us do this since you can’t exactly find the center of the triangles with zome – but we did catch a lucky break! The dual is also a shape we’ve seen before 🙂

This project was really fun – exploring geometry with our Zometool set is one of my favorite activities!

Advertisements

Comments

One Comment so far. Leave a comment below.
  1. That photo of your son is the best integrative math image that I can imagine.

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 )

Twitter picture

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

Facebook photo

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

Google+ photo

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

Connecting to %s

%d bloggers like this: