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Prehistoric spiral designs date back to Gavrinis (c. 3500 BCE). [1] Celtic spiral tile pattern found in many locations including The Book of Kells. The straight-line spirals of Celtic labyrinths originated in chevrons and lozenges and are drawn by the Celts using a connect the dots method. [1]
A vectorized version of File:Celtic_spiral_tile_pattern.png: Author: User:Hyacinth, converted to SVG by Bartledan : Other versions: Original PNG image: Image:Celtic spiral tile pattern.png For other Celtic "key" patterns, see File:Celtic key Cross.svg and File:Celtic key Cross 2.svg
Note that all of the colored tiles are congruent. The Voderberg tiling is a mathematical spiral tiling , invented in 1936 by mathematician Heinz Voderberg [ de ] (1911–1945). [ 1 ] Karl August Reinhardt asked the question of whether there is a tile such that two copies can completely enclose a third copy.
A triskelion or triskeles is an ancient motif consisting either of a triple spiral exhibiting rotational symmetry or of other patterns in triplicate that emanate from a common center. The spiral design can be based on interlocking Archimedean spirals , or represent three bent human limbs.
The tiles in the square tiling have only one shape, and it is common for other tilings to have only a finite number of shapes. These shapes are called prototiles, and a set of prototiles is said to admit a tiling or tile the plane if there is a tiling of the plane using only these shapes.
Late Iron Age Celtic art or "Ultimate La Tène", gave the love of spirals, triskeles, circles and other geometric motifs. These were combined with animal forms probably mainly deriving from the Germanic version of the general Eurasian animal style , though also from Celtic art, where heads terminating scrolls were common.