The Curious Cube

Strategies and Hints

  1. The pattern makes a pyramid with a square base. The vertex formed by faces will be a corner of the completed cube. It is the only vertex with all right angles.

  2. Three patterns are needed to make a cube.

  3. Student sketches should look like this:

  1. The other six faces are inside the cube.

Solution

The pattern makes an oblique pyramid with a square base. Three of these pyramids can be put together to make a cube.