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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.
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Maths ofCeltic 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 EnzymeDNA Vortices
Knots are central to Celtic and African art Celtic African
How to draw simple Celtic Knots Start with a grid (5 , 4) grid
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
More advanced Celtic Knots are also based ona grid and aset of simplerules or
Grid Edge Corner Patterns Corner A B C
First example A B (A B) Notation
Get the Trefoil Knot .. Also called theoverhand knot Two trefoils = one reef knot
Second example A A B B (B A A B) Notation
Get the Carrick Bend This is the simplest example of a Josephine Knot
… 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)
We can also produce more advanced African knots … Such as the Chased Chicken design