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Dimensions: a walk through mathematics
Season 1 • Episode 8 • Fibration (2)
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Dimensions: a walk through mathematics Season 1, Episode 8: Fibration (2)
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space. Watch Dimensions: a walk through mathematics Season 1, Episode 8 Fibration (2) in HD free online. Enjoy high-quality streaming of Dimensions: a walk through mathematics Season 1, Episode 8 and share your thoughts in the comments below!
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Episodes
9 episodes
Dimension Two
Hipparchus explains how two numbers can describe the position of a point on a sphere. He then explains stereographic projection: how can one draw a picture of the Earth on a piece of paper?
15 min
Dimension Three
M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.
15 min
The fourth dimension (1)
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange objects with 24, 120 and even 600 faces!
15 min
The fourth dimension (2)
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange objects with 24, 120 and even 600 faces!
15 min
Complex Numbers (1)
Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.
15 min
Complex Numbers (2)
Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.
15 min
Fibration (1)
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
15 min
Fibration (2)
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
15 min
Proof
Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem on stereographic projection.
15 min