# Trigem Pair Oddities

A *polygem*
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.
An *oddity*
is a figure with binary symmetry formed by an odd number of copies of
a polyform.
Here I present a variant in which an odd
total number of two different trigems are used
to form a figure with binary symmetry.
Please write if you find a smaller solution or solve an unsolved case.

See also Polygem Oddities.

## 3 Tiles

## 5 Tiles

## 7 Tiles

## 9 Tiles

## 11 Tiles

## Unsolved Pairs

Last revised 2023-03-31.

Back to Polyform Oddities
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Polyform Curiosities

Col. George Sicherman
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