In our project last weekend we looked at a fun probably problem posted by Alexander Bogomoly. Our approach to the problem was to look at 3d printed versions of the shape:

Here are the two projects:

Working through an Alexander Bogomolny probability problem with kids

Connecting yesterday’s probability project with a few old 3d geometry projects

During these project the boys thought one of the shapes looked a lot like a version of a 4 dimensional cube – specifically Bathsheba Grossman’s “Hypercube B” (seen in the picture below in red):

For today’s project I thought it would be fun for the kids to talk about the connection with the 4d cube in more detail.

Here’s how I explained the idea to my younger son:

After that introduction I gave him the camera – here’s what he had to say:

Finally, I gave my older son the same instructions off camera. Here’s what he had to say about the shapes with the camera:

Fun little project – it is always interest to hear what kids have to say about slightly unusual shapes.