| Each configuration of four cubes snapped together will have one outward pointing snap. Several constructions are
possible; for simplicity we consider only those with outward pointing snap on the corner cube. |
| Selecting an orientation for the 4-cube configuration, the outward pointing
snap can be on the bottom, left, or right face. |
| Four stage one configurations are assembled into a stage two configuration, with outward pointing snap on the
corner, on the bottom, left, or right face. Four stage two configurations are assembled into a stage three
configuration. Here is a recipe. |
| |
| Begin with 16 stage one configurations, six with outward pointing snap on the bottom, five with outward pointing
snap on the left, and five with outward pointing snap on the right. |
|
| A stage two configuration with outward pointing snap on the bottom is made from four stage one configurations,
two with outward pointing snap on the bottom, one on the left and one on the right. build two of these. |
| A stage two configuration with outward pointing snap on the left is made from four stage one configurations,
two with outward pointing snap on the left, one on the bottom and one on the right. build one of these. |
| A stage two configuration with outward pointing snap on the right is made from four stage one configurations,
two with outward pointing snap on the right, one on the bottom and one on the left. build one of these. |
|
| These four are assembled into a stage three configuration with outward pointing snap on the bottom. |
|
| The generalization is clear. A stage three configuration with outward pointing snap on the left is
assembled from four stage two configurations, two with outward pointing snap on the left, one on the
bottom, and one on the right. Interchange "left" and "right" for a stage three configuration
with outward pointing snap on the right. |
| A stage four configuration with outward pointing snap on the bottom is assembled from four stage three
configurations, two with outward pointing snap on the bottom, one on the right, and one on the left. |
