Parquet deformations animated
Cairo tiling deformation
Parquet deformation
I later discovered this was called a "parquet deformation". It happens to be the #9 on this page by David Bailey:
http://www.tess-elation.co.uk/parquet-deformations
GIF (Cairo wave) - optimized
Parquet deformation #4
Parquet deformation #4 (GIF)
