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Maths of Celtic and African art Chris Budd

Maths of Celtic and African art Chris Budd. Knots have been around for a very long time. They have many uses Climbing Fishing Sailing. They also appear in nature. Enzyme DNA Vortices. Knots are central to Celtic and African art. Celtic. African. Book of Kells.

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Maths of Celtic and African art Chris Budd

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  1. Maths ofCeltic and African art Chris Budd

  2. Knots have been around for a very long time • They have many uses • Climbing • Fishing • Sailing

  3. They also appear in nature EnzymeDNA Vortices

  4. Knots are central to Celtic and African art Celtic African

  5. Book of Kells

  6. How to draw simple Celtic Knots Start with a grid (5 , 4) grid

  7. (5,6)

  8. (4,8)

  9. How many pieces of string are needed?

  10. Simple Celtic Knots are very similar to plaited mat sona drawings Sona … African sand patterns (3,4) (2,4) These are used to tell stories

  11. J

  12. More advanced Celtic Knots are also based ona grid and aset of simplerules or

  13. Grid Edge Corner Patterns Corner A B C

  14. First example A B (A B) Notation

  15. Get the Trefoil Knot .. Also called theoverhand knot Two trefoils = one reef knot

  16. Second example A A B B (B A A B) Notation

  17. Get the Carrick Bend This is the simplest example of a Josephine Knot

  18. … or even … A B A Symmetry makes the best knots B B C A B A Four reflexions One rotation Notation (A B A) (B C B) (A B A)

  19. … producing the knot

  20. We can also produce more advanced African knots … Such as the Chased Chicken design

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