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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 excitement!This seems a bit different from a logical and rational subject like maths!
Maths is a highly creative subject full of mystery and surprisesBut an even more mysterious fact is Most people dont realise this!
Maths is the study of abstract objects and the patterns that link them togetherLinks are called theorems
They are often deeply amazing, mysterious,beautiful and very, very useful!
Some amazing theoremsabcPythagorasGregoryEuler
Unfortunately, not everyone appreciates their mystery and beautyBut most people like magic, art and storytelling!Some people are even scared of maths!
By linking maths to magic, art and storytelling we can unlock some of its mysteriesTheorems can lead to some great magic tricks!!!
Some Mathematical Magic Tricks
Clocks Cards Mind reading
A bit of mind reading 9 9 4 18 9 4 27 9 4 36 9 4 45 9 4 54 9 4 63 9 4 72 9 4 81 9 4
The Clock Trick
Mystery number is x
Total number of taps is 21 x
After 8 random taps we have 13 x
Number we get to from the top is 13 (13 x)
Rearrange 13 (13 x) = x
Theorem: y (y x) = x
1 9 2 9 3 9 4 9 5 9 6 9 7 9 8 9 9 9 10 9
Wheres the Joker?
The Cards who Know Their Names3 8 7 A Q 6 4 2 J K 10 9 5
KAACETWO2THREE3A2FOUR4FIVE533AA442255SIX6687QJ109
2 3 5 6 8 9 11 12 14 15 17 1819 20 21Row is given by round up (x/3)New position by f(x) = 7 + round up (x/3)21 Card Trick
123456789101112131415161718192021
888999101010111111121212131313141414
10101010101011111111111111111112121212121211
Some mind readingTake a 4 digit number x eg. 7563
Scramble the digits to give y eg. 3567
Subtract y from x (or vice versa) 3996
Cross out a non-zero digits and tell me the others eg. 396
Digital root of a number = sum of digitsx and y have the same digital rootTheoremThe difference z between two numbers with the same digital root, has a digital root which is always a multiple of 9
Maths in Celtic and African ArtCelticAfrican
How to draw simple Celtic KnotsStart with a grid(5 , 4) grid
(5,6)
(4,8)
How many pieces of string are needed?
Simple Celtic Knots are very similar to plaited mat sona drawingsSona African sand patterns(3,4)(2,4)
We can also produce more advanced African sona Chased Chicken designLions Stomach design
J