Dissection of square to two identical polygons

Author : Gavin Theobald

2×{3}	Triangle
2×{4}	Square
2×{5}	Pentagon
2×{6}	Hexagon
2×{7}	Heptagon
2×{8}	Octagon
2×{9}	Enneagon
2×{10}	Decagon
2×{11}	Hendecagon
2×{12}	Dodecagon
2×{5/2}	Pentagram
2×{6/2}	Hexagram
2×{8/2}	Octagram
2×{8/3}	Octagram
2×{12/2}	Dodecagram
2×{R}	Golden Rectangle
2×{G}	Greek Cross
2×{L}	Latin Cross

2 x Triangle

2 × Triangle (5 pieces)

Discovered by Ernest Irving Freese.

2 x Square

2 × Square (4 pieces)

2 x Pentagon

2 × Pentagon (8 pieces)

2 x Hexagon

2 × Hexagon (7 pieces)

2 x Heptagon

2 × Heptagon (11 pieces)

2 x Octagon

2 × Octagon (10 pieces)

2 x Enneagon

2 × Enneagon (13 pieces)

2 x Decagon

2 × Decagon (10 pieces)

2 x Hendecagon

2 × Hendecagon (14 pieces)

2 x Dodecagon

2 × Dodecagon (8 pieces)

Discovered by Ernest Irving Freese.

2 x Pentagram

2 × Pentagram (12 pieces)

2 x Hexagram

2 × Hexagram (9 pieces)

2 x Octagram

2 × Octagram (11 pieces)

2 x Octagram

2 × Octagram (10 pieces with 3 turned over)

I discovered the original dissection, but Greg Frederickson worked out how to save a piece by turning over pieces.

2 x Octagram

2 × Octagram (10 pieces)

2 x Dodecagram

2 × Dodecagram (15 pieces)

2 x Dodecagram

2 × Dodecagram (14 pieces with 1 turned over)

2 x Golden Rectangle

2 × Golden Rectangle (5 pieces)

2 x Greek Cross

2 × Greek Cross (4 pieces)

2 x Latin Cross

2 × Latin Cross (7 pieces)