That lesson plan was created in February of 2014 by the National Council of Teachers of Mathematics (NCTM). You may also enjoy the free lesson plan ' Geometry in Computer Games? An Exploration of Tessellations Used in neXtu', which includes a free downloadable PowerPoint presentation, 'Am I a Tessellation?' which invites the audience to create a definition of tessellation by critiquing several examples. You should judge for yourself whether each artwork is a tessellation, and then you'll have the chance to compare your decision with the webmaster's opinion. Examples of Tessellations: Not Examples of Tessellations: Now that we know what a tessellation is, how do we make one We have four different ways to create your own tessellations Getting Started: Beginner Tessellation No cutting is involved for this starter tessellation design, making it a great starting project for younger artists. We only need to perform these calculations once per patch since the 0 th -indexed vertex sets the tessellation levels for the entire patch. Some of the artwork is by children, some by adults, and some even by the past and present webmasters of . The Tessellation Control Shader controls the tessellation level of the patch so we must have it present in our shader program to accomplish this task. The geometric-shaped tile must tessellate itself and fit precisely in the tessellation. A chessboard is an example of a simple tessellation the squares meet side to side without gaps. On this page, you'll find examples of art. Simple tessellation patterns have a basic design using a geometric shape like a square or triangle they can also be more complex using irregular shapes. Also, occasionally a tessellation fills a surface that isn't flat, like the outside of a soccer ball or a dodecahedron. For example, that surface might be the outside of a ball, the outside of a lampshade, the inside of a decorated egg, the skin of a snake, a flat hexagon, a big wall, or a 'circle limit'. Occasionally, a tessellation fills a 2D surface that isn't an infinitely wide plane. Because 2D objects have no depth, they cannot be physically held a 2D shape is absolutely flat. We also prefer that the shapes' silhouettes resemble some other object: cat, camera, catfish, catapult, cabbage.anything that has a definite, recognizable shape. For example, triangles and squares are polygons. A tessellation looks a bit like a simple jigsaw puzzle, but all the pieces are just one or two or three shapes. The pattern fills, or clearly could fill, a surfaceĮntirely without gaps or overlaps'. On this website, we define a tessellation as 'a repetitive interlocking pattern of shapes. From there, tessellation became a part of the culture of many civilizations, from. The origin of tessellation is dated back to 4,000 years BCE, when Sumerians used clay tiles for the walls of their homes and temples. How to Make an Asian Chop (stone stamp)Īccording to M. We present photographs of natural and synthetic tessellations taken over a period of several years in locations around the world. Tessellation is the science and art of covering an infinite plane with shapes without any gaps or overlaps.

Examples of a tessellation