![]() Tessellations are also used in computer graphics where objects to be shown on screen are broken up like tessellations so that the computer can easily draw it on the monitor screen. Each of these has many fascinating properties which mathematicians are continuing to study even today. What does regular tessellation mean Information and translations of regular tessellation in the most comprehensive dictionary definitions resource on the web. There are many other types of tessellations, like edge-to-edge tessellation (where the only condition is that adjacent tiles should share sides fully, not partially), and Penrose tilings. Definition of regular tessellation in the dictionary. There are eight such tessellations possible All the other rules are still the same.įor example, you can use a combination of triangles and hexagons as follows to create a semi-regular tessellation. If you look at the rules above, only rule 2 changes slightly for semi-regular tessellations. If you use a combination of more than one regular polygon to tile the plane, then it's called a "semi-regular" tessellation. The mathematics to explain this is a little complicated, so we won't look at it here So what's unique to those 3 shapes (triangle, square and hexagon)? As it turns out, the key here is that the internal angles of each of these three is an exact divisor of 360 (internal angle of triangle is 60, that of square is 90, and for a hexagon is 120). You can see that there is a gap and that's not allowed. Let's try with pentagons and see what shape we come up with. Definition 2 A tessellation is called regular if its faces are regular and equal. You may wonder why other shapes won't work. We will analyse only regular tessellations. Let me show you examples of these two here. What are the other two? They are triangles and hexagons. Of course, you would have guessed that one is a square.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |