deformations of elasctic bodies. knots and linkspi.math.cornell.edu/~apatotski/ihs2014/lecture...

Deformations of elasctic bodies. Knots and links

Sasha Patotski

Cornell University

ap744@cornell.edu

October 29, 2014

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

Figure : Elastic human

Sasha Patotski (Cornell University) Deformations October 29, 2014 2 / 16

Figure : Elastic human

Sasha Patotski (Cornell University) Deformations October 29, 2014 3 / 16

Figure : Pretzel and a doughnut

Sasha Patotski (Cornell University) Deformations October 29, 2014 4 / 16

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

Figure : Circle on doughnut

Sasha Patotski (Cornell University) Deformations October 29, 2014 6 / 16

Figure : Circle on doughnut

Sasha Patotski (Cornell University) Deformations October 29, 2014 7 / 16

Figure : Fancy pretzel

Sasha Patotski (Cornell University) Deformations October 29, 2014 8 / 16

Figure : Fancy pretzel

Sasha Patotski (Cornell University) Deformations October 29, 2014 9 / 16

Sasha Patotski (Cornell University) Deformations October 29, 2014 10 / 16

Figure : Deformation of a knot

Sasha Patotski (Cornell University) Deformations October 29, 2014 11 / 16

Sasha Patotski (Cornell University) Deformations October 29, 2014 12 / 16

Figure : Hopf link, Whitehead link and Borromeo rings

Sasha Patotski (Cornell University) Deformations October 29, 2014 13 / 16

Sasha Patotski (Cornell University) Deformations October 29, 2014 14 / 16

Sasha Patotski (Cornell University) Deformations October 29, 2014 15 / 16

Figure : Locking carabines is unsafe

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