Polytrig Puzzles

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Tritrig Puzzles

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.
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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 ? 9 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 ? ? 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.

 

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