![]() ![]() Typical examples of tessellation include regular shapes (where all sides are the same), pieces of a jigsaw, and tiles in the form of animals which cover the surface in a symmetrical way. A vertice is where two or more straight lines meet – I learnt that on placement when my class sang the wee song! Over the course of the hour workshop, I learnt that shapes would only tessellate if the angle they made added to 360 degrees upon the vertices meeting. We spent some time figuring out what shapes we were supplied with would tessellate and which ones wouldn’t. Tessellation is the term known for shapes that fit perfectly together without any gaps showing or overlapping occurring. The total measurement of the six angles of the hexagon is 720. For example, the total of three angles of a triangle is 180 degrees which is a divisor of 360. These tessellations have interior angles that are divisors of 360 degrees. It is also an effective way to make leaning concepts in maths different and fun! The three types of regular tessellation shapes that are commonly used include squares, triangles, or hexagons. During this workshop for Discovering Mathematics, we were encouraged to try some paper folding to create various different shapes in order to promote the potential learning that could be had in our own classroom. It can be found in many forms such as religion, architecture and pictures. Islamic art is a good example of tessellation as it comprises of pattern and repeats this throughout which creates a wonderful image to look at. Mathematics is everywhere in the world of Art for example, in symmetry and patterns, in architecture and even clothing. If we wanted to expand our pattern a little and draw a mixture of lines and circles, we could use the innerCircleRadius property once again to ensure each line stays within its parent cell’s edges: tessellation. Note: I often use innerCircleRadius to find the maximum possible width/height for an object, then scale it down a little to give my patterns some breathing room. The innerCircleRadius property of each cell is the radius of the largest possible circle that can sit at its center and not touch any of its edges - think of it as a rough guide for when you want to avoid overlapping objects. Here’s a simple animated example to get us started: If you are new to the world of generative SVG, pop over to my starter kit to dip your toe in the ocean! A visual overviewīefore we get started, I would like to show you what Voronoi tessellations are, how they work, and how they can help form the basis of gorgeous generative patterns. This tutorial is perfect for folks familiar with generative art and comfortable working with JavaScript/SVG. To do so, we will be using a classic generative tool, the Voronoi tessellation. Random and unpredictable, yet efficient and harmonious. In this tutorial, we will be learning how to form aesthetically pleasing patterns inspired by nature. While both chaos and exacting precision can both be beautiful qualities in generative art, we rarely - if ever - find examples of either extreme in the natural world. When composing generative patterns, placing objects on a canvas purely at random can feel chaotic, while aligning them to a traditional grid can feel rigid/predictable. It is a wildly powerful tool for us artists, but can be difficult to tame and sculpt into something that feels organic/balanced. Randomness in generative art is a double-edged sword. ![]()
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