In geometry, hinged dissections are a type of dissection problems that possess one chain-like property, which makes all of their respective pieces connected into a chain by certain points. Thus, the improvement starting with one figure then onto the next can be completed by swinging the chain ceaselessly, without separating any of the associations. Hinged dissections are also regarded to as Dudeney dissections or swing-hinged dissections.
Dots
Hinges
Locks
Chains
Center
Left
Right
Vertices
Polygons
Polyforms
Polyominoes
Rhombi
The original shape will be changed
The chain will be broken
The original shape will remain intact
The chain will not be broken
Greg Frederickson
Jones Lewis Mulberry
Henry Ernest Dudeney
George Rodriguez
Overlays
Adding a new piece
Moving the piece
Folding
Both must have the same area
One should be twice the size of the other
One must be half the size of the other
Number of sides of both polygons must be less than ten
Vertices
Edge
Center
Bottom
It is plane
It is three-dimensional
Its hinges are placed on the vertices
It allows overlapping
Equilateral triangle to square
Equilateral triangle to rectangle
Equilateral triangle to polygon
Equilateral triangle to hexagon