### 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 3 turned over)

It is easy to change this so that only 2 pieces need be 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, 26^{th} August 1900.

### Latin Cross — 2 × Latin Cross (9 pieces)