
Tetrahex Bisymmetry Puzzle: Take a full set of seven tetrahexes.
Using all the pieces make a figure with horizontal and vertical
symmetry (it will also have R2 rotational symmetry). There are 76
different figures (many courtesy of George Sicherman).
See
Figures and Solutions


Tetrahex Butterfly Problem A: Take a full set of seven tetrahexes. Select four tetrahex pieces and make two identical copies of a twopiece shape for wings,
then use the remaining three pieces to make a symmetrical body. I have found 59 solutions for wing pairs, along with numerous
alternate body shapes.
See
Figures and Solutions


Tetrahex Butterfly Problem B: Take a full set of seven tetrahexes. Remove the 1 (or I) piece as a body.
Using the remaining six pieces, make two identical copies of a threepiece shape for wings. There are 191 solutions (many courtesy of George Sicherman).
See
Figures and Solutions


Tetrahex Butterfly Problem C: Take a full set of seven tetrahexes. Remove the
4 (or Y) piece as a body.
Using the remaining six pieces, make two identical copies of a threepiece shape for wings.
There are 234 solutions (many courtesy of George Sicherman).
See
Figures and Solutions


Tetrahex Butterfly Problem D: Take a full set of seven tetrahexes. Remove the
5 (or U) piece as a body.
Using the remaining six pieces, make two identical copies of a threepiece shape for wings.
There are 113 solutions (one courtesy of George Sicherman).
See
Figures and Solutions


Tetrahex Butterfly Problem E: Take a full set of seven tetrahexes. Remove the
7 (or O) piece as a body. Using the remaining
six pieces, make two identical copies of a threepiece shape for
wings.
Figures and Solutions coming soon


Tetrahex Propeller Problem: Take a full set of seven tetrahexes. Remove the
3 (or S) piece as a body. Using the remaining
six pieces, make two identical copies of a threepiece shape for
wings.
See
Figures and Solutions


Trihex and Tetrahex Propeller Problem:
Take a full set of seven tetrahexes and three trihexes. Remove
the 4 (or Y) tetrahex as a body. Using the
remaining nine pieces, make three identical copies of a
threepiece shape for blades.
Figures and Solutions coming soon


Mono  Tetrahex Propeller Problem: Take a
full set of seven tetrahexes, three trihexes, dihex and monohex.
Remove the 4 (or Y) tetrahex as a body. Using the
remaining eleven pieces, make three identical copies of a
12unit shape for blades.
Figures and Solutions coming soon


Mono  Pentahex Propeller Problem 1: Take a
full set of 22 pentahexes, seven tetrahexes, three trihexes,
dihex and monohex. Take 6 pentahexes and make a figure with
6rotational symmetry. Using the remaining pieces, make 6
identical copies of a 20unit shape for blades.
Figures and Solutions coming soon


Mono  Pentahex Propeller Problem 2: Take a
full set of 22 pentahexes, seven tetrahexes, three trihexes,
dihex and monohex. Take 12 pentahexes and make a figure with
6rotational symmetry. Using the remaining pieces, make 6
identical copies of a 15unit shape for blades.
Figures and Solutions coming soon


Snowflake Problem 1: Take a
full set of 22 pentahexes, seven tetrahexes, three trihexes,
dihex and monohex. Take 6 pentahexes and make a figure with full
sixfold symmetry. Using the remaining pieces, make 6 identical
copies of a 20unit shape for blades.
See
some Figures and Solutions


Snowflake Problem 2: Take a
full set of 22 pentahexes, seven tetrahexes, three trihexes,
dihex and monohex. Take 12 pentahexes and make a figure with full
sixfold symmetry. Using the remaining pieces, make 6 identical
copies of a 15unit shape for blades.
See
some Figures and Solutions 

Sextuplets Problem: Take a
full set of 22 pentahexes, seven tetrahexes, three trihexes,
dihex and monohex. Make 6 identical
copies of a 25unit symmetrical shape.
See
some Figures and Solutions 

Pentahex Dragonfly Problem: Take a
full set of 22 pentahexes. Take 2 pentahexes and make a figure
with mirror symmetry for the body. Using the remaining pieces, make 4 identical
copies of a 20unit symmetrical shape for wings.
Figures and Solutions coming soon


Tetrahex Portholes Problem: Take a full set of seven tetrahexes.
Construct a figure with 6 unit holes which exhibits any form of
symmetry. 31 solutions so far
See
Figures and Solutions


Tetrahex Trirotary Problem: Take a full set of seven tetrahexes.
Construct a figure with trirotary symmetry. 23 solutions so far
See
Figures and Solutions


Pentahex Portholes Problem: Take a
full set of 22 pentahexes. Construct a figure with the maximum
number of unit holes, which exhibits any form of symmetry.
See
Figures and Solutions


Hexahex 6fold Symmetry Problem: Take a
full set of 82 hexahexes. Construct a figure with full sixfold symmetry.
See
Figures and Solutions


Mono  Hexahex Snowflakes Problem 2: Take a
full set of 82 hexahexes ,22 pentahexes, seven tetrahexes, three trihexes,
dihex and monohex. Take 70 hexahexes and construct a figure with full sixfold symmetry.
Using the remaining pieces, make 6 copies of a symmetric 37unit
shape for blades.
See
Some Figures and Solutions


Mono  Hexahex Snowflakes Problem 3: Take a
full set of 82 hexahexes ,22 pentahexes, seven tetrahexes, three trihexes,
dihex and monohex. Take 64 hexahexes and construct a figure with full sixfold symmetry.
Using the remaining pieces, make 6 copies of a symmetric 43unit
shape for blades.
See
Some Figures and Solutions


Penthouses Problem: Take a
full set of 12 pentominoes and 5 tetrominoes. Pick 6 pentominoes
at random, then make an 11 x 10 rectangle with a hole to fit
each of these shapes.
See
Figures and Solutions


Polyomino Maze Problems: A series of
puzzles based upon the construction of a maze using polyomino
pieces.
See
Puzzles, Figures and Solutions


Abaroth's Rhombi Problem: Fit 27
edgecoloured rhombi into a hexagon and other shapes.
See Pieces and
Solutions


Multihut Problem A: Using
the monohut and six dihuts, make a symmetric pattern.
See Figures and
Solutions


Abaroth's Cube Problem: Make a cube from
the six pieces.
See
Pieces and Solution


Monabolic Cube Problem: Make a cube from
the six pieces.
See
Pieces and Solution
