Square - Pentagram (7 pieces)
Square - Hexagram (5 pieces)
Discovered by Harry Bradley (1921).
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Square - Heptagram {7/2} (10 pieces)
Square - Heptagram {7/3} (12 pieces)
Square - Octagram {8/2} (7 pieces)
Published by Greg Frederickson (1997).
Square - Octagram {8/3} (8 pieces)
There are many different ways to solve this dissection in 8 pieces, but I have been unable to find a seven piece solution.
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Square - Enneagram {9/2} (12 pieces)
Square - Enneagram {9/3} (13 pieces)
Square - Enneagram {9/3} (12 pieces with 3 turned over)
Square - Enneagram {9/4} (19 pieces with 3 turned over)
Square - Decagram {10/2} (10 pieces)
Square - Decagram {10/2} (9 pieces with 1 turned over)
Square - Decagram {10/3} (11 pieces)
Square - Decagram {10/4} (10 pieces)
First discovered by Anton Hanegraaf.
Square - Dodecagram {12/2} (8 pieces)
Note that there are some very short edges that are not visible in these views. Click on the images to see enlarged versions.
Rectangle - Dodecagram {12/2} (8 pieces)
These diagrams use the same technique as for the square, but better show the way in which the dissection works. Click on the images to see enlarged versions.
Square - Dodecagram {12/5} (9 pieces)
Discovered by Greg Frederickson (1972).