Turn in your step-by-step “map” of creating the tessellation shape, the shape itself, the tessellation, and your paragraph, paper clipped together. Write a short paragraph telling - what your shape reminds you of, any problems you encountered, anything interesting you noticed while working on the project. Use your imagination, but do not obscure the tessellating shape. Add color, and other detail, to your tessellation to “make it into something”, such as adding facial features, veins on leaves. (Use white paper, not tracing paper for the tessellation itself.) 6. Construct a tessellation completely covering a piece of white paper at least 81 2 by 11 inches using the shape you created. Turn it in, either as a cut-out, or on a section of tracing paper by itself. Draw your final figure without the lines of the original polygon. State the type of transformation used for each modification. Show dotted lines each time for the sides of the original shape, so the original polygon is always visible. You must make some modification to each side of the original shape. Repeat for each side of the original polygon. Identify the type of transformation used for this modification: translation, rotation, or glide reflection. Show dotted lines for the original sides as you modify them. Draw the first modification and how it changes another side (or the same side if using a midpoint rotation). Draw the original shape before any modification is made, 2. Use one of the regular polygons from this handout. This project will be accepted early, but not late. Using a computer for your drawings is not allowed. The most famous pair of such tiles are the dart and the kite.Ĭlick here for the lesson plan of non-periodic Tessellations.Download Tessellation Project | Introduction to Mathematical Thought | MATH 124 and more Mathematics Study Guides, Projects, Research in PDF only on Docsity! Math 124 Tessellation Project due Friday, November 14 by 12:30 pm 50 points Points will be awarded for each of the following, as well as for the effort demonstrated in putting this project together. The pattern of shapes still goes infinitely in all directions, but the design never looks exactly the same. In the 1970s, the British mathematician and physicist Roger Penrose discovered non-periodic tessellations. Whatever direction you go, they will look the same everywhere. They consist of one pattern that is repeated again and again. It may be better to show a counter-example here to explain the monohedral tessellations.Īll the tessellations mentioned up to this point are Periodic tessellations. All regular tessellations are also monohedral. If you use only congruent shapes to make a tessellation, then it is called Monohedral Tessellation no matter the shape is. You can use Polypad to have a closer look to these 15 irregular pentagons and create tessellations with them. Among the irregular pentagons, it is proven that only 15 of them can tesselate. We can use any polygon, any shape, or any figure like the famous artist and mathematician Escher to create Irregular tessellationsĪmong the irregular polygons, we know that all triangle and quadrilateral types can tessellate. The good news is, we do not need to use regular polygons all the time. If one is allowed to use more than one type of regular polygons to create a tiling, then it is called semi-regular tessellation.Ĭlick here for the lesson plan of Semi - Regular Tessellations. If you try regular polygons, you ll see that only equilateral triangles, squares, and regular hexagons can create regular tessellations.Ĭlick here for the lesson plan of Regular Tessellations. the most well-known ones are regular tessellations which made up of only one regular polygon. There are several types of tessellations.
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