Triangle — 2 × Triangle (5 pieces)
Discovered by Harry Bradley (1930).
Square — 2 × Square (4 pieces)
The dissection is translational and hingeable.
Pentagon — 2 × Pentagon (9 pieces)
Hexagon — 2 × Hexagon (8 pieces with 2 turned over)
Heptagon — 2 × Heptagon (10 pieces with 1 turned over)
Discovered by Greg Frederickson (1997).
Octagon — 2 × Octagon (8 pieces)
Discovered by Harry Lindgren (1964).
Enneagon — 2 × Enneagon (19 pieces)
Discovered by Harry Hart (1877). This is a modification discovered by Ernest Irving Freese (1957).
Enneagon — 2 × Enneagon (16 pieces with 3 turned over)
Discovered by Greg Frederickson.
Decagon — 2 × Decagon (16 pieces)
Hendecagon — 2 × Hendecagon (23 pieces)
Discovered by Harry Hart (1877). This is a modification discovered by Ernest Irving Freese (1957).
Dodecagon — 2 × Dodecagon (10 pieces)
Discovered by Harry Lindgren (1964).
The dissection is translational.
Tridecagon — 2 × Tridecagon (21 pieces with 6 turned over)
Discovered by Greg Frederickson.
Tetradecagon — 2 × Tetradecagon (22 pieces with 7 turned over)
Discovered by Greg Frederickson.
Pentadecagon — 2 × Pentadecagon (24 pieces with 7 turned over)
Discovered by Greg Frederickson.
Hexadecagon — 2 × Hexadecagon (16 pieces)
Discovered by Greg Frederickson (1972).
Icosagon — 2 × Icosagon (20 pieces)
Discovered by Greg Frederickson (1972).
Icositetragon — 2 × Icositetragon (24 pieces)
Discovered by Greg Frederickson (1972).
Hexagram — 2 × Hexagram (11 pieces)
First discovered by Anton Hanegraaf (before 1990).
The dissection is translational.
Octagram {8/2} — 2 × Octagram {8/2} (11 pieces)
Discovered by Harry Lindgren (1964).
Octagram {8/3} — 2 × Octagram {8/3} (12 pieces)
Discovered by Harry Lindgren (1964).
Dodecagram{12/2} — 2 × Dodecagram {12/2} (13 pieces)
Discovered by Greg Frederickson (1972).
The dissection is translational.
Dodecagram {12/3} — 2 × Dodecagram {12/3} (12 pieces)
Discovered by Greg Frederickson (1972).
The dissection is translational.
Dodecagram {12/4} — 2 × Dodecagram {12/4} (18 pieces)
Discovered by Greg Frederickson (1974).
The dissection is translational.
Silver Rectangle — 2 × Silver Rectangle (2 pieces)
The dissection is translational.
Golden Rectangle — 2 × Golden Rectangle (5 pieces)
The dissection is translational.
Domino — 2 × Domino (5 pieces)
The dissection is translational.
Greek Cross — 2 × Greek Cross (5 pieces)
The dissection is translational and hingeable. It was discovered by Henry Ernest Dudeney, Weekly Dispatch, 26th August 1900.