These puzzles use the 27 hexatwigs. The pieces cover a
total of
162
unit line segments in the hexagonal grid.
Geometric Forms
Use
all the pieces to make a symmetric pattern. Here are examples
for the different types of symmetry. Click the images below to
see example puzzles and solutions.
Type of Symmetry
Full
Sextarotary
Ternary & Horizontal
Ternary & Vertical
Trirotary
Double Bilateral
Horizontal
Vertical
Birotary
Replications
Use
all the pieces to make three identical copies of a pattern.
Solutions exist which can be assembled to form a figure
with different types of symmetry. Click the images below to see example
puzzles and solutions.
Type of Symmetry
Full
Sextarotary
Ternary & Horizontal
Ternary & Vertical
Trirotary
Double Bilateral
Horizontal
Vertical
Birotary
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 hexatwigs, some of which were solved or improved by George.
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 hexatwigs. George supplied the two smaller solutions
which have only reflective symmetry.
Galvagni Figures
A
Galvagni Figure is one which can be tiled by a
specific polyform in more than one way. You can find more about
Galvagni Figures at George Sicherman's
Polyform Curiosities website. Here are the minimal solutions
for the hexatwigs.