I introduced one piece today - the three-way intersection on triangle grid - and one structure - loops of six triangle-shaped things - and I'll take you on a tour through many more next week. The key steps in reading crease patterns are recognizing the pieces and seeing the structure behind them. In this tessellation, six equilateral triangles meet at each vertex. My next two videos will focus on crease patterns - reading them, then folding from them. Each of these corner points where the polygons meet is called a vertex. I show you all of these intersections inside of Tessellation Foundations - check it out! Next Steps The three-way intersection I taught in this video has multiple identical ways to lay down the pleats, but you know what has many different ways to lay down the pleats? 3-way intersections on 45 degree grids. Interpolate the position values linearly. ![]() Learn Moreįor a deeper dive into starting with tessellations and many more options for folding with only grid lines, join me in Tessellation Foundations! Here are the steps for phong tessellation: Generate tangent plane for each vertex in the triangle. In this video I focus on a mirrored approach that's rearrangeable once you're done. To create a figure for a tessellation, a student starts with equilateral shape drawn along. These three-way intersections can be put together in a huge variety of ways, from rotational to mirrored to combinations of both. Question: 3 triangle ABC and performs the steps shown below. ![]() Managing many pleats at once is one of the harder things about tessellations, but using these three-way intersections one at a time lets us minimize the difficulty and focus on the steps. You may think that folding your first tessellation on a square grid would be easier, but triangle grids allow you to have 3 pleats coming together instead of 4 - plus they lay down flat without adding any extra creases! Triangle Rotation Tessellation Step Number 8 finish tessella.
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