prep2013 change ringing
TRANSCRIPT
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Caren DiefenderferHollins University
Roanoke, VA
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History of Change Ringing
Bells on ropes in towers
17th century England
Specific Vocabulary
Today, many ringing groups
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1 2 3 42 1 4 3
2 4 1 3
4 2 3 1
4 3 2 1
3 4 1 2
3 1 4 2
1 3 2 4
1 2 3 4
Eight good rows
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Rules of Change RingingThe bells are first rung from highest to lowest
(rounds)
Every bell is rung once in each “row”
Each bell may move at most one position from one row to the next.
No permutation is repeated, until the last row repeats rounds.
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Practice with chimes
Cross and Stretch on 4 bells
Cross and Stretch on 6 bells
Cross and Stretch on 8 bells
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Connections to MathematicsRigid Motions of a Triangle
Permutation functions
Rigid Motions of a Square
Dihedral group, Permutation group, Normal subgroup, cosets
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Sparks of Genius: The 13 Thinking Tools of the World’s Most Creative People
Robert S. & Michele M. Root-Bernstein, 2001