Threefold Pattern

Eşrefoğlu Mosque, Beyşehir, Konya, Turkey

Sırçalı Mescit, Konya, Turkey

Pattern with fruity colours

Interlocking Arrows

Persian Miniature, mid-16th Century

Detail with the pattern

Hexagon Based Tesselation

Tomb of Izzettin Keykavus, Sivas/Turkey. 
We can barely see the pattern on the spandrels over the two side windows.

hexagons interlocking from caglar on Vimeo.

hexagon based tesselation point attractor from caglar on Vimeo.

The Concept

Take the mid points of a regular hexagon. Draw three axes as shown in the image(note the directions).

Move the mid-point pairs along these axes. You can as well move the three pair of points with different values. Any polygon you'll draw with this method will be seamlessly tileable. If you move all three starting points up to the hexagonal center, you'll get the Mitsubishi logo made up of three congruent rhombi which are made up of two equilateral triangles.

ghx file

hex tile.ghx