You can view this definition coming to play in the video below. In such a way, when we have created the definition that allows the curve to orient on the 2 vertices of the triangle, we can play around with different configuration thus resulting in different patterns. The ExplodeBrep component breaks down the grid into faces, edges and vertices. Each triangle has 3 vertices which can be sorted through L istItem as item number 0,1 and 2. The configuration of the curved pattern on the grid is controlled by the two numbered sliders. Here is a snapshot of the definition for pattern tessellation. Alter the other edge of the triangle with a different curve/crooked line (in the example above I’m actually using 2 curves with different colours so it’ll be easier to view) by translate/rotating the curve on the edge of the triangle.Glide/reflect that edge to the other side of the triangular shape.Alter one edge of the triangle by replacing it with a curved or crooked line.Start with a grid, in this case I chose a triangular grid with similar sides, an equilateral triangle.My method of creating the tessellated pattern could be broken down in the steps below. From there I wanted to explore the possibilities of different grids and the variety of outcomes that could emerge. I also found a grasshopper definition that’s playing around with the tessellation idea to create a seamless pattern on a hexagonal grid. ![]() In a sense tessellation looks a bit like a simple jigsaw puzzle. My experiment with tessellation started of by studying the mathematical concept of Escher’s work such as the one pictured on the left. Escher, a Dutch artist from the early 19th century, whose work brought together art and science in an aesthetically playful way resulting in the popularity of the concept of tessellation.Īccording to Escher, a tessellation is “a regular division of the plane.” Tessellation can also be defined as “a repetitive interlocking pattern of shapes that fills up a surface entirely without gaps or overlaps”. Coming from graphic design, I came to realize the significance of patterning in creating a harmonious form of visual communication, mostly as a result of balance and repetition. ![]() For this project, I have chosen Tessellation as subject matter that I want to explore parametrically through Grasshopper.
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