The Shift tab allows one to vary the spacing between tiles. With the default parameters, rectangular tiles are arranged so that their Geometric quadri delimitatori are touching. The following options are available to add or subtract space between the tiles:

The Shift tab of the Crea Cloni in Serie dialog.

A P1 symmetry tiling with a constant shift of 10% (of the quadro delimitatore). There is an x shift for each column and a y shift for each row.

A P1 symmetry tiling with a constant shift of 10% (of the quadro delimitatore). There is a y shift for each column and an x shift for each row.

A P1 symmetry tiling with an exponential shift of 1.1 (2% shift in x and y).

A P1 symmetry tiling with a random shift of 10% (of the quadro delimitatore) in both x and y.

Question: What is the symmetry of closely packed hexagons? The answer is P1 as can be seen below. One can use this fact to trivially generate the board for the game Hex invented independently by the mathematicians Piet Hein and John Nash.

Closely packed hexagons have a P1 symmetry tiling as shown on the left. On the right is the board for the game Hex. To generate both tilings, a hexagon was tiled using a shift in x of 50% and a shift in y of -25% per row.