These puzzles use the eleven rounded
or bridged triamonds. The pieces cover an area of 33
unit triangles. Patterns are considered symmetric regardless
of the position of the bridges joining the triangles.

Geometric Forms

Use
all the pieces to make a symmetric pattern. Here are examples
for the different types of symmetry.

Type of Symmetry

Ternary and Reflected

Trirotary

Reflected

Butterflies

Butterfly puzzles have a single symmetric piece removed as a
body, with the remaining pieces used to make two identical
wings. Here is an example of each type.

Oddities

An
oddity is a figure with binary symmetry formed by an
odd number of copies of a polyform. You can find more about
Polyform Oddities at George Sicherman's Polyform Curiosities website.
Here are the minimal oddities for the rounded triamonds.

Compatibilities

Polyforms are compatible if
there is a shape that can be tiled by each. You can find more about
Polyform Compatibility at George Sicherman's Polyform Curiosities website.
Here are minimal known compatibilities for the rounded triamonds,
several of which were solved or improved by George.

*

2

6

2

2

?

2

2

2

3

3

2

*

3

3

3

3

2

2

2

2

2

6

3

*

R

R

?

2

2

3

2

6

2

3

R

*

6

2

2

2

3

2

2

2

3

R

6

*

?

2

2

3

2

2

?

3

?

2

?

*

9

3

3

2

2

2

2

2

2

2

9

*

2

2

3

3

2

2

2

2

2

3

2

*

2

3

2

2

2

3

3

3

3

2

2

*

2

2

3

2

2

2

2

2

3

3

2

*

3

3

2

6

2

2

2

3

2

2

3

*

2 Tiles

3 Tiles

6 Tiles

9 Tiles

Reëntrant Solutions

Baiocchi
Figures

Baiocchi figures were first proposed by Claudio Baiocchi in
2008. A Baiocchi figure is formed by
joining copies of a single polyform and has full symmetry - in
this case sextarotary with reflection. You can find more about
Baiocchi Figures at George Sicherman's Polyform Curiosities website.
Here are minimal known Baiocchi Figures for the rounded triamonds.