Polyflap Symmetry Spectra

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Patterns created from copies of a single piece which exhibit every possible symmetry for the grid. The first column contains the Baiocchi figures with maximal symmetry, and the last has the patterns which have no overall symmetry. In each case the example shown has the fewest pieces so that the pattern displays no higher symmetries. Patterns marked * courtesy George Sicherman.

 

Monoflap

Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Horizontal Vertical Birotary None
*

Diflaps

Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Horizontal Vertical Birotary None
*
*

Triflaps

Full Sextarotary Ternary & Horizontal Ternary & Vertical Trirotary Double Bilateral Horizontal Vertical Birotary None
*
*
*
* *
*
* *
*
*
X X X X
X X X X

 

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