Triangle - Dodecagram (6 pieces)
Discovered by Harry Lindgren (1964).
Square - Dodecagram (8 pieces)
Pentagon - Dodecagram (12 pieces)
Pentagon - Dodecagram (11 pieces with 3 turned over)
Compared to the other dodecagram dissections this one is particularly inefficient. This is due to the dimensions of the pentagon making it impractical to form a pentagon tessellation that can overlay a dodecagram tessellation.
By turning over pieces we can improve the dissection, but a entirely different technique is required if the dissection is to be improved further.
Hexagon - Dodecagram (8 pieces)
This is a modification of a dissection discovered by Greg Frederickson.
Heptagon - Dodecagram (11 pieces)
Octagon - Dodecagram (12 pieces)
Enneagon - Dodecagram (14 pieces)
Decagon - Dodecagram (12 pieces)
Dodecagon - Dodecagram (13 pieces)
Dodecagon - Dodecagram (12 pieces with 1 turned over)
Pentagram - Dodecagram (14 pieces)
Hexagram - Dodecagram (9 pieces)
Discovered by Harry Lindgren (1964).
Octagram - Dodecagram (13 pieces)
Octagram - Dodecagram (14 pieces)
Octagram - Dodecagram (13 pieces with 1 turned over)
Golden Rectangle - Dodecagram (9 pieces)
Greek Cross - Dodecagram (10 pieces)
Latin Cross - Dodecagram (11 pieces)
This dissection is a very, very tight fit!