Unraveling of a knotty mystery

Март 1, 2021

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Английский язык
Unraveling of a knotty mystery

Содержание

2. PLAN Diving into the problem Mathematical model of knots Experiment with color-changing fibers Results and the
3. DIVING INTO THE PROBLEM https://www.dreamstime.com/illustration/dream-team.html?pg=7 https://www.vecteezy.com/free-vector/mountain-drawing?page=4 https://www.freepng.ru/png-huluqb/
4. MATHEMATICAL MODEL A table of prime knots up to seven crossings https://en.wikipedia.org/wiki/Knot_theory
5. COLOR-CHANGING FIBERS http://news.mit.edu/2020/model-how-strong-knot-0102 https://www.scientificamerican.com/article/color-changing-fibers-unravel-a-knotty-mystery/ Trefoil knot, partially tightened
6. RESULTS Conditions of knots’ stability: a higher number of crossing points of two strands in contact
7. SUMMARY Comprehension of the problem Knot theory Experiment with color-changing fibers Results and the application
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Слайд 2

PLAN
Diving into the problem
Mathematical model of knots
Experiment with color-changing fibers
Results and the

PLAN Diving into the problem Mathematical model of knots Experiment with color-changing

application

Слайд 3

DIVING INTO THE PROBLEM
https://www.dreamstime.com/illustration/dream-team.html?pg=7
https://www.vecteezy.com/free-vector/mountain-drawing?page=4
https://www.freepng.ru/png-huluqb/

DIVING INTO THE PROBLEM https://www.dreamstime.com/illustration/dream-team.html?pg=7 https://www.vecteezy.com/free-vector/mountain-drawing?page=4 https://www.freepng.ru/png-huluqb/

Слайд 4

MATHEMATICAL MODEL
A table of prime knots up to seven crossings
https://en.wikipedia.org/wiki/Knot_theory

MATHEMATICAL MODEL A table of prime knots up to seven crossings https://en.wikipedia.org/wiki/Knot_theory

Слайд 5

COLOR-CHANGING FIBERS
http://news.mit.edu/2020/model-how-strong-knot-0102
https://www.scientificamerican.com/article/color-changing-fibers-unravel-a-knotty-mystery/
Trefoil knot, partially tightened

COLOR-CHANGING FIBERS http://news.mit.edu/2020/model-how-strong-knot-0102 https://www.scientificamerican.com/article/color-changing-fibers-unravel-a-knotty-mystery/ Trefoil knot, partially tightened

Слайд 6

RESULTS
Conditions of knots’ stability:
a higher number of crossing points of two strands

RESULTS Conditions of knots’ stability: a higher number of crossing points of

in contact
rotation of strand segments at neighboring crossing points in different directions
sliding of strands tangentially against each other

http://www.climbing.ru/media/all_2_2_1360/section_23_1_2_21/item_5433/

Zeppelin knot

Alpine butterfly knot

Слайд 7

SUMMARY
Comprehension of the problem
Knot theory
Experiment with color-changing fibers
Results and the application

SUMMARY Comprehension of the problem Knot theory Experiment with color-changing fibers Results and the application