| Common Name | Formal Name |
| Pyraminx | Tetra VB3 |
| Master Pyraminx | Tetra VB4 |
| Halpern-Meier | Tetra VC2 |
| 2x2x2 | Cube FA2 |
| 3x3x3 | Cube FA3 |
| 4x4x4 | Cube FA4 |
| Dino Cube | Cube VB1 |
| Lattice Cube | Cube VB2 |
| Skewb | Cube VC2 |
| Master Skewb | Cube VC3 |
| Bevel Cube | Cube EA2 |
| Little Chop | Cube ED2 |
| SuperX | Cube FA2VB1 |
| MasterX | Cube FA4VB2 |
| Constituent 1 | Constituent 2 | Formal Name |
| Pyraminx | Halpern-Meier | Tetra VB3VC2 |
| 2x2x2 | Dino Cube | Cube FA2VB1 |
| 4x4x4 | Lattice Cube | Cube FA4VB2 |
| 2x2x2 | Skewb | Cube FA2VC2 |
| 4x4x4 | Master Skewb | Cube FA4VC3 |