Tuesday, July 7, 2020

Voronoi Tessellation

Tessellations/tiling are shapes that are arranged, without overlapping or gaps, and closely fit together. A common example of this is honeycomb hexagons as seen in figure 1.
Figure 1- Hexagon tessellation
https:/i.pinimg.com/originals/14/1a/1d/141a1d46a2a59db914d16f48b86d72d1.png  

Voronoi Tessellation is a mathematical technique that forms irregular tessellating. The simplest way to describe it that I understand is a Voronoi is a diagram where dots are placed on a plane and each dot has a colour. The colours move out from the centre and where two colours meet a boundary is placed. Thus an irregular tessellation pattern is formed. 
I did not understand the definitions on the internet until I found a Voronoi diagram generator which made a lot more sense, http://alexbeutel.com/webgl/voronoi.html

Voronoi Diagram
https://upload.wikimedia.org/wikipedia/commons/thumb/5/54/Euclidean_Voronoi_diagram.svg/220px-Euclidean_Voronoi_diagram.svg.png

These irregular patterns are quite common in nature. They are found in many different places, for example, the venation of an insects wings and the spots on a giraffes fur. My abstract pattern visually resembles these Voronoi tessellations without the mathematical aspect.  

Dragonfly wings
https://static.scientificamerican.com/blogs/assets/Image/Butterflies(1).jpg 
Giraffe fur
https://static.scientificamerican.com/blogs/cache/file/EDBC5D79-80D3-4B7E-862DDD150B7A1627_source.jpg?w=590&h=800&B1BA11D5-AE93-41FB-9CC3DDE1C965EE5E 



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