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29/07/2014

Maths. Big Idea: Maths and Graphic Design. 29/07/2014. Today we will explore and mathematically describe border patterns. Celtic Knot Patterns 3. 4-space primary grid. 2-space primary grid. 1-space primary grid. Primary Grid – 2 space. Secondary Grid – 2 space. Tertiary Grid – 2 space.

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29/07/2014

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  1. Maths Big Idea: Maths and Graphic Design 29/07/2014 Today we will explore and mathematically describe border patterns. Celtic Knot Patterns 3

  2. 4-space primary grid 2-space primary grid 1-space primary grid

  3. Primary Grid – 2 space

  4. Secondary Grid – 2 space

  5. Tertiary Grid – 2 space x x x x x x x x x x x x

  6. Weave x x x x x x x x x x x x

  7. A Celtic mystery . . . Same dimensions – two different knots x x x x x x x x x x x x x x x x x x x x What are the dimensions of the primary grids? What could be happening within the grids to cause this effect? 2 x 4 Breaklines

  8. Primary Grid – 2 space

  9. Secondary Grid – 2 space

  10. Tertiary Grid – 2 space x x x x x x x x x x x x

  11. Breaklines – 2 space x x x x x x x x x x x x

  12. Weave with breaklines x x x x x x x x x x x x

  13. Border patterns – 2 x 11 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 2 3 4 5 8 n Knots Primary squares 3 5 7 9 11 17 2n + 1

  14. Border patterns – 2 x 10 x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 2 3 5 n Knots Primary squares 4 7 10 16 3n + 1

  15. Border patterns – 2 x 11 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 2 3 4 5 9 n Knots Primary squares 3 5 7 9 11 19 2n + 1

  16. Border patterns – 3 x 12 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 2 3 4 7 n Knots Primary squares 3 6 9 12 21 3n

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