Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture...

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Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University [email protected] October 29, 2014 Sasha Patotski (Cornell University) Deformations October 29, 2014 1 / 16

Transcript of Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture...

Page 1: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Deformations of elasctic bodies. Knots and links

Sasha Patotski

Cornell University

[email protected]

October 29, 2014

Sasha Patotski (Cornell University) Deformations October 29, 2014 1 / 16

Page 2: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Elastic human

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Page 3: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Elastic human

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Page 4: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Pretzel and a doughnut

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Page 5: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Pretzel and a doughnutSasha Patotski (Cornell University) Deformations October 29, 2014 5 / 16

Page 6: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Circle on doughnut

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Page 7: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Circle on doughnut

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Page 8: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Fancy pretzel

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Page 9: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Fancy pretzel

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Page 10: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

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Page 11: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Deformation of a knot

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Page 12: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

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Page 13: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Hopf link, Whitehead link and Borromeo rings

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Page 14: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

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Page 16: Deformations of elasctic bodies. Knots and linkspi.math.cornell.edu/~apatotski/IHS2014/Lecture 1.pdf · Deformations of elasctic bodies. Knots and links Sasha Patotski Cornell University

Figure : Locking carabines is unsafe

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