A hinged dissection is a sort of geometric dissection where the individual parts are hinged together. Rearrangement of the parts can change the appearance of the object.
Sword and Shield
This dissection is generated by simplifying two target shapes into pixelated enitities and figuring out a way to transform between them. The design process can be described in the following steps:
1. Pixelate two or more target shapes.
2. In general, the shapes must have the same area. If pieces can be stacked, this rule can be broken.
3. Overlay the target shapes and select the largest common area as a fixed piece.
4. Divide extremities into right angled equilateral triangles. This prevents self-locking.
5. Hinge the pieces so that they reach the target shapes. Simplify if possible.
This table can transform between an equilateral triangle and a square. The dissection is a variation of Dudeney's dissection and is based on the work of Greg Frederickson .
 Designing a table both swinging and stable.
College Mathematics Journal Vol. 34, No. 4, pp. 258-266, 2008.