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Tessellation 4
- 1.
- 7. Tessellation – a repeatingpattern of closed shapes that covers a surface with no gaps and no overlaps.
- 8. The word tessellationcomes from the root word, tesserae, which means tile. Many mosaic tile installations are tessellations.
- 9. M.C. Escher isthe most famous tessellation artist. He was born in the Netherlands in1898 and he lived until 1972. His father was a civil engineer who wanted his son to be an architect. Escher loved to draw and was fascinated by the mathematical patterns in the world.
- 15. Escher knew thatonly a regular polygon like the could be tessellated. He made his tessellations by working with these basic shapes. Square Triangle Hexagon
- 16. Translation (slide) – Amovement of a shape to a new position along a straight line
- 17. Translation (slide) – Amovement of a shape to a new position along a straight line
- 18. Translation (slide) – Amovement of a shape to a new position along a straight line
- 19. Translation (slide) – Amovement of a shape to a new position along a straight line
- 20. Reflection (flip) – Amovement of a shape to a new position by flipping the shape over a line
- 21. Reflection (flip) – Amovement of a shape to a new position by flipping the shape over a line
- 22. Reflection (flip) – Amovement of a shape to a new position by flipping the shape over a line
- 23. Reflection (flip) – Amovement of a shape to a new position by flipping the shape over a line
- 24. Rotation – A movementof a shape to a new position by moving the shape around a point.
- 25. Rotation – A movementof a shape to a new position by moving the shape around a point.
- 26. Rotation – A movementof a shape to a new position by moving the shape around a point.
- 27. Rotation – A movementof a shape to a new position by moving the shape around a point.
- 28. Rotation – A movementof a shape to a new position by moving the shape around a point.
- 29. Transformation – The movementof a shape by translation, reflection or rotation
- 30. Transformation – The movementof a shape by translation, reflection or rotation
- 31. Transformation – The movementof a shape by translation, reflection or rotation.
- 32. Transformation – The movementof a shape by translation, reflection or rotation
- 33. Transformation – The movementof a shape by translation, reflection or rotation
- 34. Now, let’s discover howto make your own tessellating shape!
- 35. Start with aregular polygon, like a square (it could also be a triangle, hexagon, or octagon)
- 36. Start with aregular polygon, like a square. Draw a line on the side of the square.
- 37. Start with aregular polygon, like a square. Draw a line on the side of the square. Then cut out the shape, translate and tape the shape to the other side of the square.
- 38. Here is yourtessellating shape.
- 39. Now it istime to imagine what you have created. Maybe it’s a fish
- 40. Now it istime to imagine what you have created. The fish becomes a school of fish!
- 41. Now imagine anotheridea with the same tessellating shape. Maybe it’s a ….!
- 42. Now imagine anotheridea with the same tessellating shape. Maybe it’s a ….!
- 43. Now imagine anotheridea with the same tessellating shape. Maybe it’s a ….!
- 44. Now imagine anotheridea with the same tessellating shape. Maybe it’s a Kitten!
- 45. Which becomes awhole litter of kittens!
- 47.
- 48. Now it istime to make your own tessellating shape. Remember, you can make a transformation by translating, reflecting, or rotating your shape.
- 49. Decide what yourshape can be. Add details to it, repeating them in all the shapes you trace. Add color to make your tessellation come to life. Repeating color patterns look best.