Hexatwig Puzzles

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Hexatwig Puzzles

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.

Polytwig Puzzles

Polytwig Puzzles 2

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