TED-Ed
TED-ED: What in the world is topological quantum matter?
David Thouless, Duncan Haldane, and Michael Kosterlitz won the Nobel Prize in Physics in 2016 for discovering that even microscopic matter at the smallest scale can exhibit macroscopic properties and phases that are topological. But -...
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem)
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam: Topology - Part 2 of 3
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem): Topology - Part 1 of 3
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
3Blue1Brown
Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces: Topology - Part 3 of 3
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
3Blue1Brown
Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
3Blue1Brown
Sneaky Topology (The Borsuk-Ulam theorem)
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
3Blue1Brown
Who cares about topology? (Inscribed rectangle problem)
This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.
Curated Video
Topology Riddles | Infinite Series
Can you turn your pants inside out without taking your feet off the ground?
3Blue1Brown
Science YouTubers attempting a graph theory puzzle
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Rediscovering Euler's formula with a mug (not that Euler's formula) - Part 4 of 4
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
The three utilities puzzle with math/science YouTubers
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
Curated Video
How Many Holes Does A Drinking Straw Have?
The debate around how many holes a straw has, is one of fascinating debates to be a part of! There are those who say there are two holes while some feel there is only one whole. Some have gone so far as to claim that a straw has zero...
Science360
Medicine And Engineering Join Forces To Restore Disfigured Faces
Patients who have suffered devastating facial injuries sometimes go to great lengths to hide themselves from public view. ""I've had patients come to me wearing motorcycle helmets, with the visor pulled down,"" says Michael Miller, chair...
Curated Video
Proving Brouwer's Fixed Point Theorem
There is a proof for Brouwer's Fixed Point Theorem that uses a bridge - or portal - between geometry and algebra.
Zach Star
What I've been reading | STEM book recommendations
What I've been reading | STEM book recommendations
Gresham College
Mobius, his Band, and the Shape of the Universe - Professor Raymond Flood
Mobius is perhaps best known for his topological form, the Mobius Band, but whilst this is treated as a mathematical curiosity, its hugely important in the study of topology and cosmology. Professor Raymond Flood, Gresham Professor of...
Gresham College
Möbius and his Band - Professor Raymond Flood
A history of one of the greatest mathematicians contribution to our understanding of the world: http://www.gresham.ac.uk/lectures-and-events/mobius-and-his-band Many people have heard of the Möbius band, a one-sided surface, but the work...