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Knots in 4D - Part 3
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In the last part of the movie we consider ribbon knotted surfaces, which are a class of 4D knots having "simple" 3D diagrams.
We present different ways to look at the basic feature in the projections of these surfaces. Then we suggest a way to draw 2D diagrams to represent them. Some moves on the diagrams, resembling the Reidemeister moves, describe deformations of the surfaces in 4D. Yet, it is still unknown whether all the allowed deformations can be described using the moves.
In the very end we briefly present more open problems in this area.
We present different ways to look at the basic feature in the projections of these surfaces. Then we suggest a way to draw 2D diagrams to represent them. Some moves on the diagrams, resembling the Reidemeister moves, describe deformations of the surfaces in 4D. Yet, it is still unknown whether all the allowed deformations can be described using the moves.
In the very end we briefly present more open problems in this area.
Knots in 4D - Part 1
Knots in 4D - Part 3
Knots in 4D - Part 2
Knots in 4D - Introduction
Galina Bleikh. In 4D, Knots Are Left Behind!
In the 4D, knots are left behind!
A Beginner's Guide to the Fourth Dimension
Galina Bleikh. In the 4D, knots are left behind!
Unlocking the Mystery of Knots: 4D Perspective Revealed #astronomyhistory #space #4D #astronoid
Unlocking the Mysteries of Higher Dimensions Untangling Knots in 4D Space
Quantum Money From Knots
How Knots Help Us Understand the World
Stereographic projections of 4D trefoil knots
Gömböc—The Shape That Shouldn't Exist
Shrinkage!!! What shrinkage looks like on 4C hair! #SHORTS
Four Dimensional Maths: Things to See and Hear in the Fourth Dimension - with Matt Parker
Firefighter I Skill 4D: Tying a Water Knot
The things you'll find in higher dimensions
Galina Bleikh. IN THE 4D, KNOTS ARE LEFT BEHIND. Digital art
Knot Object for Cinema 4D
The Tumbling Rings of Antiquity
MODO | Model a standard Knot
Theragun G3Pro vs Hypervolt | The Pork Test
Knots in disguise
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