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Translation tessellation12/26/2023 ![]() While Escher consulted mathematicians and scientific publications, he denied he had any mathematical aptitude. Schattschneider notes that many of Escher’s tessellations incorporate the geometric concepts of symmetry, foreground, and background, as well as the moving of shapes using translation, reflection, and rotation. She visited Rochester in November to speak in the Department of Mathematics as well as at the Memorial Art Gallery, in conjunction with the exhibit M. Schattschneider is an authority on geometry in the work of Escher, a Dutch artist best known for creating spatial illusions and tessellations-the tiling of a plane with one or more geometric shapes without gaps or overlaps. Doris Wood Schattschneider ’61, a mathematician, sees a complex combination of art and math. Most people who view the works of 20th-century artist M. 121 (below) uses geometric translation to create a tessellation with two-color symmetry. The rubric for these assessments will be based on how well they answer the quiz questions, and how well they do on creating their own tessellation and identifying where it reflects, rotates, and translates.MATHEMATICAL ILLUSIONS: Escher explored the concepts of infinity and “impossible drawing.” His work Relativity (top) depicts three staircases with people climbing or descending while Fish/Bird No. Also included in the assessment is a quiz. They will then use all of the skills that they learned to be assessed by creating their own unique tessellation. They will also learn what a reflection, rotation, and translation is. The students will learn what a tessellation is, and what the rules for creating a tessellation are. It is designed to help student understand the concept and the process of creating tessellations. ![]() Lesson Objective:This lesson is geared towards students in the 5th grade.Click here to create your own tessellation! Main Menu Once you have completed it, print it out and hand it in. Mark a few places where these things occur in your tessellation. NextĬreate Your Own Tessellation!! Directions: Create your own unique tessellation that includes reflections, rotations, and translations by clicking on the button below. Why are the following NOT regular tessellations? 2. Quiz Directions: Write one to two sentences for each of the following questions. Every reflection has a mirror line Click here for more Practice! Main Menu.To reflect an object means to produce its mirror image.The reflected figure is always the same size, it just faces in the other direction.Every rotation has a center and an angle Click here for more Practice! Main Menu.Every point of the object must move the same distance in the same direction Click here for more Practice! Main Menu.If you move an object from one area to another on a plane without rotating or reflecting it, it is a translation.A translation is another name for a slide.Sorry! Wrong answer This is not a semi-regular tessellation because it does not follow the rule that all the vertices must have the same configuration Go Back Yes! You are right! This is a semi-regular tessellation because it does not have any gaps or overlaps and all of the vertices are the same! Go Back The arrangement of polygons at each vertex must still be the same and the vertices must add up to 360 degrees Which of the following are examples of semi-regular tessellations? Click on the ones that you think are the answer to find out! Main Menu Go Back.A semi-regular tessellation is made up by using two or more different regular polygons.The vertex angles are 120+120+120= 360 degrees Go Back.The interior angle of each hexagon is 120 degrees.The vertex angels are 90+90+90+90= 360 degrees Go Back.The interior angle of a square is 90 degrees.The interior angle of each equilateral triangle is 60 degrees.There are 3 examples of regular tessellations Triangles Squares Hexagons Click on one of the three shapes to learn more! Go Back.All the vertex angles must look the same.The tiles must all be the same regular polygon.The tessellation must tile a floor completely with no gaps and no overlaps. ![]()
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