Square — Pentagram (7 pieces)
Square — Hexagram (5 pieces)
Discovered by Harry Bradley (1921).
The dissection is translational.
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.
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 {10/3} (10 pieces with 4 turned over)
Square — Decagram {10/4} (10 pieces)
Anton Hanegraaf was the first to discover a 10 piece solution.
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 {R1.05} — 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 {12/3} (8 pieces)
Square — Dodecagram {12/4} (11 pieces)
Discovered by Greg Frederickson (1997).
Square — Dodecagram {12/5} (9 pieces)
Discovered by Greg Frederickson (1972).