is a plane polyform whose cells are gems—figures formed by
dividing a regular hexagon into thirds using lines from the center to
the midpoints of the sides.
A gem is one of the two dikites.
You can see more about polygems at
Abaroth's Polygem Page.
is a figure with binary symmetry formed by an odd number of copies of
Here are the minimal known oddities for polygems
of orders 1–4.
The black trigem has no solution; the gray trigems and most of
the tetragems are unsolved.
Please write if you find a smaller solution or solve an unsolved case.
Unsolved or Impossible
Last revised 2014-10-21.
Back to Polyform Oddities
Col. George Sicherman