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?
EP2 Dimension ThreeJul 25, 2008
M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.
EP3 The fourth dimension (1)Aug 01, 2008
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!
EP4 The fourth dimension (2)Aug 08, 2008
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!
EP5 Complex Numbers (1)Aug 15, 2008
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.
EP6 Complex Numbers (2)Aug 22, 2008
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.
EP7 Fibration (1)Aug 29, 2008
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
EP8 Fibration (2)Sep 05, 2008
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
EP9 ProofSep 12, 2008
Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem on stereographic projection.