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TESSELLATIONS

TESSELLATIONS. A tessellation is a special kind of design. Tessellation Designs. were first created more than 6000 years ago in Mesopotamia. Mesopotamia is what we now call the Middle East and was located in what we know as Iraq. Tessellations are made from patterns of repeating shapes.

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TESSELLATIONS

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  1. TESSELLATIONS A tessellation is a special kind of design.

  2. Tessellation Designs • were first created more than 6000 years ago in Mesopotamia. • Mesopotamia is what we now call the Middle East and was located in what we know as Iraq.

  3. Tessellations are made from patterns of repeating shapes. • The shapes that make up a tessellation are called polygons. • Polygons are closed shapes that have three or more sides.

  4. Polygons that are the exact same size are called congruent. • Congruent polygons fit together like jigsaw puzzle pieces that repeat again and again. • There are never any gaps between the shapes and the shapes never overlap each other. The design could go on forever.

  5. Three Basic Types of TESSELLATIONS can be created • Translation • Rotation • Reflection

  6. The simplest type of tessellation is called a TRANSLATION • In a translation, the original shape is created then repeated again and again.

  7. TRANSLATION

  8. Another type of tessellation design is called a ROTATION • In a rotation tessellation, the congruent shape is created then it is repeated around a central point or in a circular pattern.

  9. ROTATION

  10. A third type of tessellation design is called a REFLECTION • A reflection tessellation is different. Just like a translation and a rotation, a reflection tessellation is also created from an original shape that is repeated again and again. • What makes a reflection different is that the original shape is repeated in a pattern that places some of the congruent shapes backwards on the page. It’s as if the shape was looking in a mirror at itself.

  11. REFLECTION

  12. Review • Although all three kinds of tessellations use congruent shapes that fit together like jigsaw puzzle pieces, you learned that each tessellation repeats in a special way.

  13. Review - TRANSLATION • Translations repeat in a side-to-side and top-to-bottom pattern of congruent shapes.

  14. Review - ROTATION • Rotations repeat in a circle pattern of congruent shapes.

  15. Review - REFLECTION • Reflections repeat in a side-to-side, top-to-bottom and Backward pattern of congruent shapes.

  16. Translation: a tessellated shape that can repeat in a vertical and horizontal patternRotation: A tessellated shape that repeats around a point. Reflection: A repeating tessellated shape that mirrors itself.

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