Mono-Tetrahex Puzzles

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Tetrahex Puzzles

These puzzles use a full set of seven tetrahexes. These pieces cover an area of 28 unit hexagons.

 

Geometric Forms

     Use all the pieces to make a symmetric pattern. Click the images below to see example puzzles with solutions.
 

Type of Symmetry

  Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Birotary Horizontal Vertical
Solutions 2 1 20 76 1000s 1000s 1000s
 
     Use any three pieces to make a symmetric pattern. Click the images below to see example puzzles with solutions.
 

Type of Symmetry

  Ternary & Vertical Double Bilateral Birotary Horizontal Vertical
Solutions 4 15 98 236 126
 

Butterflies and Propellers

     The first butterfly and propeller puzzles have a single symmetric piece removed as a body, with the remaining pieces used to make two identical wings. The final type has a 3-piece body and two-piece wings. Click the images below to see a full set of puzzles with solutions.
Body
Butterflies X
Propellers X X

 

Portholes

 

     Create a pattern which encloses the maximum number of unit holes. Here are examples for the different types of symmetry. Six holes is maximal even without symmetry. Click the images below to see a set of puzzles with solutions.

Type of Symmetry

Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Birotary Horizontal Vertical
6 3 3 5 6 6 6

 

Tri- and Tetrahex Puzzles

These puzzles use a full set of seven tetrahexes and three trihexes. These pieces cover an area of 37 unit hexagons. For clarity, the tetrahexes are referred to using the usual numbers, with the trihexes labelled "A", "B" and "C".

Geometric Forms

 

     Use all the pieces to make a symmetric pattern. Click the images below to see example puzzles with solutions.
 

Type of Symmetry

  Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Birotary Horizontal Vertical
Solutions

2

3 56 18 1000s ? 1000s 1000s 1000s
 

Butterflies &  Twin Propellers

1. Take one tetrahex and one trihex piece to make a symmetric body, with the remaining pieces used to make two identical wings. A solution with mirror symmetry is a butterfly, whilst one with rotational symmetry is a propeller.
Body = tetrahex
 + one of these trihexes
Butterflies              
Propellers              
2. Take one trihex and all three tetrahexes to make a symmetric body, with the remaining pieces used to make two identical wings.
Body = tetrahex
 + all three trihexes
Butterflies              
Propellers              
 3. Take three tetrahexes and one trihex to make a symmetric body, with the remaining pieces used to make two identical wings.
               
               
               
               

Triple Propellers

     Remove the #4 tetrahex as a body and make three identical wings with the remaining pieces. One wing uses the three listed pieces.

Click the images below to see a set of puzzles with solutions.

Body
Wings 12A 12B 12C 23A 23B 23C
Propellers
Wings 25A 25B 25C 26A 26B 26C
Propellers
Wings 27A 27B 27C      
Propellers      

Portholes

     Create a pattern which encloses the maximum number of unit holes. Here are my best results for the different types of symmetry.

Click the images below to see example puzzles with solutions.

Type of Symmetry

Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Birotary Horizontal Vertical
X 6 6 6 9 10 10 10 10
 

 

Complete the Shape

 

     Take three tetrahex pieces, and make any connected shape of 12 hexagons. Use the seven remaining pieces to complete the shape so that the complete pattern is symmetric in some way.

 

Mono-Tetrahex Puzzles.

These puzzles use a full set of seven tetrahexes, three trihexes, the dihex and monohex. These pieces cover an area of 40 unit hexagons.

Portholes

 

     Create a pattern which encloses the maximum number of unit holes. Here are my best results for the different types of symmetry.

Type of Symmetry

Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Birotary Horizontal Vertical
9 6 9 9 9 11 11
             

 

Complete the Shape

 

     Take four tetrahex pieces, and make any connected shape of 16 hexagons. Use the eight remaining pieces to complete the shape so that the complete pattern is symmetric in some way.

 

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