Two-sided Rounded Trihexes
Here are the eight rounded trihexes made of wooden cylinders connected by sticks.
A SVG-file for this set is here.
The pieces allow for an highly symmetric star and a kind of rectangle.
One-sided Rounded Trihexes
Since only two pieces in the two-sided set are non symmetric, we get two additional pieces in the one-sided set.
Here are real pieces made of chips, which are used in shopping carts.
Figures with different types of symmetry can be designed.
We can also get an hexagon with two axes of symmetry and no holes.