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  • 1-2-3-4M

    Rotate the upper right cell of the tile 90 degrees clockwise; rotate the lower left cell of the tile 180 degrees; mirror, then rotate the lower right cell of the tile 270 degrees counterclockwise. Shape 20 Shape 54 Shape 138 Shape 175

  • 1-2-1-2M

    Rotate the upper right cell of the tile 90 degrees clockwise; mirror, then rotate the lower right cell of the tile 90 degrees counterclockwise. Shape 54 Shape 126 Shape 135 Shape 136

  • 1-1-1-2

    The twenty-eight patterns you’ve just seen are Regular tessellations — symmetrical, orderly, each one a mirror of itself in some direction. They are, in their way, perfect. But perfection accounts for only twenty-eight of the five hundred and twelve possible patterns this system can generate. What about the other four hundred and eighty-four? They don’t…