Exploring Quadrilateral Tessellations with M.C. Escher

Dive into the world of quadrilateral tessellations with the captivating art of M.C. Escher. Discover which quadrilaterals tessellate and why they always do so. Use visual aids and geometric concepts to engage in hands-on exploration. Unveil the beauty of tessellation patterns and angles through interactive activities.

• Quadrilaterals
• Tessellations
• Geometric Art
• M.C. Escher
• Mathematics

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Uploaded on Sep 28, 2024 | 0 Views

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3. The artist M C Escher created these tessellations

4. All quadrilaterals tessellate Is this sometimes, always or never true?

5. How can you check? You have: Square dotty paper Scissors Glue

6. Which quadrilaterals tessellate? Choose a quadrilateral to try. Draw 4 congruent shapes and see if they tessellate. Square Rectangle Parallelogram Rhombus Trapezium Kite Irregular quadrilateral

7. https://www.geogebra.org/m/BpZa7hy8 https://www.geogebra.org/m/BpZa7hy8

8. To show that quadrilaterals always tessellate, we can use letters to represent the angles. b a c Write a maths sentence using the letters in the diagram. d

9. Imagine tracing the quadrilateral and rotating it to make the other tiles. ? ? b a What would the missing letters be? ? c d

10. What do angles around a point add up to? b c b a d c d

11. We know that a + b + c + d = 360 b Which means that quadrilaterals will always tessellate. c b a d c d

12. Write an explanation of why quadrilaterals tessellate in your books. b c b a d Use the tessellations of your tiles. c d