These puzzles use the 12 tritrigs.
The pieces cover 36 unit line segments and patterns are
considered symmetric regardless of the position of any
unfilled nexuses.
Geometric Forms
Use
all pieces to make a symmetric pattern. Here are examples
for the different types of symmetry.
Type of Symmetry
Ternary & Horizontal
Ternary & Vertical
Trirotary
Double Bilateral
Horizontal
Vertical
Birotary
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 tritrigs. George improved the orange solution.
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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 tritrigs.
*
3
3
3
?
?
?
?
?
?
?
?
3
*
2
2
2
3
2
3
?
18
3
6
3
2
*
2
?
6
2
3
4
2
3
?
3
2
2
*
2
3
3
3
3
2
3
3
?
2
?
2
*
4
2
3
?
3
6
3
?
3
9
3
4
*
2
2
?
21
2
R
?
2
2
3
2
2
*
3
3
2
3
3
?
3
3
3
3
2
3
*
2
3
2
2
?
?
4
3
?
?
3
2
*
3
R
?
?
18
2
2
3
?
2
3
3
*
4
?
?
3
3
3
6
2
3
2
R
4
*
?
?
6
?
3
3
R
3
2
?
?
?
*
Baiocchi Figures
A
Baiocchi Figure is one with maximal symmetry for
the set of polyforms. You can find more about
Baiocchi Figures at George Sicherman's
Polyform Curiosities website. Here are the minimal solutions
for the bitrigs and tritrigs. The solution marked * was
improved by George.