![]() For example, the honeycomb that bees make is a series of hexagons, which is a type of tessellation. ![]() Tessellations appear in math, art, and nature. There are different categories of tessellations depending on the type of shapes used or the type of pattern. In this experiment, you learned about tessellations! A tessellation is made of one or more shapes that cover a given surface with no overlaps or gaps (think of floor tiles). Can you think of any examples of shapes that will not create tessellations? How It Works: Will this work for any shape? Why or why not?ģ. Why does the shape you made fit together?Ģ. Notice how the shape fits together and repeat the process until you fill the whole piece of paper. Starting in one corner of a blank piece of paper, trace the new shape you created. Examples of tesselations in real life include quilts, mosaic walls and floors, 3D buildings like the Louvre in Paris, and artwork by M.C Escher. Look at American folk art that uses tessellations (such as quilts). Use Web resources to extend the lesson: Enter your class in one of several online tessellation contests. There are examples from medieval European art as well (e.g., stained glass patterns). Tape that cut out shape to the opposite side so the straight edges line up. The earliest tessellations we can find come from Islamic art circa 3000 BC. Take the square of cardstock and cut whatever shape you want out of one side. Put the Post-it note on top of a piece of cardstock to help you cut out a perfect square. Creating the template by hand and not a computer means it can be challenging to make a perfect angular heart.Paper, pencil, cardstock, Post-it note, scissors, tape, colored pencils/paint Time Estimated: A tessellation is a design using one ore more geometric shapes with no overlaps and no gaps. If you are creating the template in a classroom, this is a good place to discuss how to create a perfectly symmetrical heart and how exact measurements are necessary to make perfect tessellations. Sorry 'bout that ( but you can see it in action in the video above.) (Somehow I forgot to take a photo of tracing the template. At the time it was a new and fresh entry into the art world and featured a series of interlocking lions, the first of a many number of works to use animals to divide. Escher produced his first tessellation in 1925. The figure above composed of regular pentagons is not a tessellation since there are gaps between the tessellations in grey. The figure above composed of squares is a tessellation since the are no gaps or overlaps between any 2 squares. ![]() The shapes do not overlap and there are no gaps. Our measurements were approximately 6 cm and 3 cm.Ĭut out the template on thin cardboard and trace a couple of practice tessellations to make sure your template is accurate. The aforementioned Escher is the most recent example of a successful artist using tessellation and hyperbolic geometry in his work. A tessellation is a pattern of shapes repeated to fill a plane. Be sure that the measurement of side of the heart is twice as long as one of the top "sides" or your tessellations will be off. ![]() We finally decided on an 80 degree angle, which we drew with our protractor. This took a bit of experimentation on our part to find the right angle for the bottom point of the heart. An interior angle of a square is 90 90 and the sum of four interior angles is 360. There are four squares meeting at a vertex. In Figure 10.78, the tessellation is made up of squares.
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