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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
Book of Kells
How to draw simple Celtic Knots Start with a grid (5, 4) grid
(2,2) 2 (3,2) 1 (5,3) 1 (4,4) 4 How many pieces of string are needed?
Simple Celtic Knots are very similar to plaited mat sona drawings Sona … African sand patterns These are used to tell stories (3,4) (2,4)
More advanced Celtic Knots are also based on a grid and a set of simple rules or
ABC Grid Corner Patterns Corner Edge
A (A B) First example B Notation
Get the Trefoil Knot.. Also called the overhand knot Two trefoils = one reef knot
B AAB (B A A B) Notation Second example
Get the Carrick Bend This is the simplest example of a Josephine Knot
… or even … A A A A B B B B C (A B A) (B C B) (A B A) Symmetry makes the best knots Notation Four reflexions One rotation
… producing the knot
We can also produce more advanced African knots … Such as the Chased Chicken design
Maths, magic and mystery Chris Budd. Who likes magic? We like magic because Its mysterious Its dramatic It has an element of surprise It has glamour and.
Whoever tells you that teaching and research dont go together is talking rubbish Chris Budd.
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