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Patterns of beads

Suppose we are presented with a long string of beads. The beads come in two colours, red and blue, but there is not necessarily any 'pattern' to the way they are threaded on the string. Can we guarantee to find three equally spaced beads of the same colour? For example, if the 5th, 7th and 9th beads were all blue then this would count.

This question leads to some beautiful mathematics, and some surprising numbers.


Suppose we are presented with a long string of beads. The beads come in two colours, red and blue, but there is not necessarily any 'pattern' to the way they are threaded on the string. Can we guarantee to find three equally spaced beads of the same colour? For example, if the 5th, 7th and 9th beads were all blue then this would count.

This question leads to some beautiful mathematics, and some surprising numbers.


Speaker(s):

Dr. Imre Leader | talks

 

Date and Time:

14 October 2004 at 5:00 pm

Duration:

1 hour

 

Venue:

Centre for Mathematical Sciences, University of Cambridge
Wilberforce Road
Cambridge
CB3 0WA
+44 12 23 76 68 39


More at Centre for Mathematical Sciences, University of Cambridge...

 

Tickets:

Free

Available from:

Admission to the lecture is free but by ticket only – for tickets please contact
Alison Boyle, Millennium Mathematics Project, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA (01223 766839) or email mmp@maths.cam.ac.uk

Additional Information:

Suggested age range - 16+ and general public

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