Interlocking Arrows 3

Entrance Portal, Sahabiye Madrasah, 1267, Kayseri, Turkey



Pattern with muqarnas behind. It has a nice three dimensional feeling to it that reminds me of Erwin Hauer's work

Left niche

Floral Pattern On Hex Grid

Enthronement of Süleyman the Magnificient, Miniature by famous Matrakçı Nasuh

Süleyman the Magnificient receives Barbaros Hayrettin, Topkapı Palace Museum Archives

Arcs Across Hexagons

Hasbey Darülhüffazı, Konya, Turkey

Snowflake Pattern

Sadreddin Konevi Mosque, Konya, Turkey

Overlapping hex grid partially highlighted

Interlocking Arrows 2

Gök Medrese, Tokat, Turkey

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

Arcs on Hex Grid

Mosaic Tiles in Alhambra, Granada, Spain

VB.net component code in the GH definition above for drawing an arc with two points and radius.

Underlying grid and the concept

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