Mathematical patterns

Each design of mosaic follows a specific mathematical pattern.
In the following lines you can see the different types of pattern and the explanation of how to construct your mosaic. By the way, the easiest is to match the tile drawings, we reccommend you plan the composition by laying the tiles on the floor before pasting them.

Type A) Simple offset
Place the second tile next to the first one with the same orientation, and continue doing the same until you fill the surface you want.

Type B) Full rotation
Place the second tile next to the first one rotating it over one corner, and do the same until you complete a full rotation. Then, repeat the "full rotation" figure filling the surface you want.

Type C) Full rotation + 1/2 offset
Place the second tile next to the first one rotating it over one corner, and do the same until you complete a full rotation. Then, repeat the figure "full rotation" composed by 4 tiles in the example, but paste it doing an offset of one tile (or half offset of the figure "full rotation"), both vertically and horitzontally. Be sure that the drawings of the tiles fit. Repeat that until you fill the surface you want.

Type D) Offset + 180º
Place the second tile with a rotation of 180 degrees next to the first one, both in the same row and the same column. And so on to fill the desired area.

Type E) 1/2 offset
Place the second tile beside the first tile displaced half of a tiles´length, breaking the row or column (depending on design). And so on to fill the desired area. In the case of combinations of more than one tile, displace the combination half as is shown in the second figure.

Type F) Free
This type allows you to place the tiles in any direction. All positions fits.

Type G) Centrifugation point
Place the first four tiles doing a full rotation, that makes the centrifugation nucleus. Then place the following tiles doing simple offsets (see type A) from each tile position in the nucleus.
In the composition, there can be several points of centrifugation.