Transformation Videos: 3 videos demonstrating how to create a reflection tessellation, translation tessellation, and rotation tessellation (including how to do a graphite transfer or light table/window transfer for complex details).Īlso available in my Teachers Pay Teachers store. Practice Tessellation Sheet: This page includes the base stencil for all three transformations shown in the videos and step-by-step sheets.Ħ. These instructions also match up with the included videos, which also demonstrate how to create them step-by-step.ĥ. Step-by-Step Direction Sheets: Three step-by-step instruction sheets with visuals showing how to create stencils for all three transformations. Practicing Transformations Worksheet: Worksheet asks students to reflect specific shapes over horizontal and vertical axes, translate shapes, and rotate shapes.Ĥ. These come in various combinations, such as triangles & squares, and hexagons & triangles. These are known as semi-regular tessellations. As previously mentioned, a tessellation pattern doesn’t have to contain all of the same shapes. Color Your Own Worksheets: Grid-filled pages that students can demonstrate how to draw translation, rotation, and reflection tessellations on.ģ. An example of a hexagonal tessellation pattern that you’ll find in day-to-day life is a honeycomb. This PowerPoint includes animated slides, which make it easier for students to visualize the shape’s movements.Ģ. Escher (with a link to a interview he did), his influences, his artwork, and the three main types of transformations used in making tessellations – translation, rotation, and reflections. Tessellation PowerPoint: An introduction to what tessellations are, a brief history, M.C. I'll try to find some examples to provide to which produce garbled triangulation.If you are interested in this lesson, I have an incredibly awesome package posted up in my store. :(īy the way, to be fair, even libtess breaks on some cramped data. Who knew this task would be so damn difficult to solve, especially when working on this alone. Debugging bad data triangulation is really, really hard. It can also filter vertex data taken from the vertex shader. The TCS controls how much tessellation a particular patch gets it also defines the size of a patch, thus allowing it to augment data. It sits between the Vertex Shader and the Tessellation Evaluation Shader. (Don’t be afraid to try these they are much easier than they look) First, some helpful vocabulary:M.C. The Tessellation Control Shader (TCS) is a Shader program written in GLSL. Then make your own tessellations inspired by artist M.C. Encourage your students to find other tessellating patterns in the world around them. An example of nonperiodicity due to another orientation of one tile out of an infinite number of identical tiles A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. Spen5 a lot of time on trying to deduce the degenerate cases that break to maybe find a workaround but started to fall into the abyss of madness and despair again. Tessellations are all around us A tile floor is a good example. This video shows students how to actually use all three types of tessellation stencils (Rotation, Reflection, and Slide/Translation). But the more you zoom out, the more complex water polygons with lots of holes start to appear, and the more simplification kicks in introducing all sorts of weird self-intersections and degeneracies, and it starts to get really really bad: On high zoom levels, it works wonderfully - no noticeable artifacts in dense city areas at all and very fast, which got me very optimistic at first. If you decide to tesselate the polygons yourself youll have to remember to set the correct edge flags so that the interior edges of the tesselation arent rendered, see glEdgeFlagPointer. So, I wrote the rings classification code that seems to sorta work for now (takes maybe ~5-20% of the tessellation time), so finally I was able to see how earcut copes with all the VT data on a live map. If the polygons are concave youll have to tesselate them, either manually or using the gl utility library, glu. Sorry for spamming again - this is already turning into memoirs.
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