![]() ![]() I have not looked at the science for many years, but in the 90s it was believed that a disordered crystalline structure had been found in nature - these were collectively termed quasi-crystals. Today I expect you could directly visualise the atomic structure. In terms of theory within solid-state physics, their observable/measurable properties imply this to be the case. Naturally occurring 3-dimensional crystals were all expected to be ordered tilings. The set of rules for building the disordered tiling vary in complexity. These are constructions which use simple shapes and a set of rules to fill infinite space, and yet for these tilings, you cannot always pick up and move a subunit to another matching location. There exist however, disordered tilings (non-periodic). A few basic rules were proposed which declared what properties the fundamental subunits of a tiling had to possess to be infinitely space-filling. Ordered tilings have the property that any subunit of the tiling can be picked up and moved and will eventually perfectly match up to another location. Using more than one shape can add complexity, but triangles, squares and hexagons would all be regarded as "ordered tilings". A tiling might be only space-filling over a finite extent (eventually leaving a gap), but arguably more interesting constructions have this property over an infinite space. ![]() The family of "space filling" tilings (those which do not leave gaps) is larger than just triangles, squares and hexagons. These can be in higher dimensions that 2D. Tessellation as a topic of study within mathematics is also referred to as tiling. In this, it's a more flexible and effective replacement for the older practice of manually creating several different versions of a model and swapping between them based on distance. What's more, you can vary the degree of subdivision depending on need, such as increase it when the camera gets closer or turn it off completely when it's far enough that it wouldn't be noticeable. Then you can apply other techniques such as displacement mapping to those triangles to add detail to the wall - before tesselation, real-time displacement mapping was not feasible, because it requires a huge number of triangles, and it was impossible to directly store that many. Tesselation lets you break up that simple surface into as many triangles as you need, without having to store that data in a file as part of the model. That's all you need to represent a flat plane, but for many graphical effects, you need more detail. For example, a flat wall could be modeled as just two triangles forming a rectangle. Tesselation in computer graphics means automatically breaking up a surface into smaller pieces. Please direct your posts to /r/gifrecipes. No recipe/cooking process related gifs allowed. If you feel that any ruling is unfair/not correct, or if you have any other questions, feel free to message the /r/educationalgifs mod team. They can be funny, but just consider this.Īny post that has been submitted in the past 3 months or is in the top 100 of all time cannot be reposted and will be removed. Your title must be informative of what is going on in the gif, instead of the good ole "Look at this gem" or "Just a wheel". We won't go hunting you down, but at least be considerate of the creator. These are reliable sources and thus we would love if you hosted your gifs using these sites. The preferred sites for gifs to be hosted on are imgur or gyfcat. You want this sub to have more content? Go to the subreddits below to learn how to make/request a gif! From chemical processes, to how plants work, to how machines work, /r/educationalgifs will explain many processes in the quick to see format of gifs. Gifs are great at getting quick to digest info, and /r/educationalgifs strives to give you educational info in this quick to digest format. But please read the rules before you post, in order to help the mod team moderate, while also making this a better place to post. As long as it is educational, and a gif, it is fine. In /r/educationalgifs we strive to have short gifs that educate the subscribers in some way. ![]()
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