Topology movies

Topics in topology

Galleries :

The Klein bottle Construction of a Klein bottle by joining the edges of a rectangle. Added on 2016-02-16	Moebius-Klein Two Moebius strips make a Klein bottle Added on 2016-02-16
The figure 8 Klein bottle The less-known form of the Klein bottle... Added on 2016-02-16	Multiple Klein bottles Linked Klein bottles. Note that the number of "bottles" needs to be uneven in order to have a non-orientable surface. Added on 2016-02-16
From an octagon to a genus 2 surface An octagon can be bent into a genus two surface (a surface with two holes) by joining the sides with the same colour.. Added on 2016-02-16	From a 16-gon to a genus 4 surface A polygon with 16 sides can be formed into a genus 4 surface, a surface with 4 holes. Added on 2016-02-16
From a 40-gon to a genus 10 surface. A polygon with 40 edges can be bent into a genus 10 surface (a surface with 10 holes). Added on 2016-02-16	The real projective plane and the Moebius strip The real projective plane minus a disc is a Moebius strip. Added on 2016-02-18
The cross-cap. The construction of the cross-cap. Added on 2016-02-17	The Boy surface The construction of a Boy surface. Added on 2016-02-17
Moebius strip and cross-cap Visual proof that a Moebius strip is homeomorphic to a cross-cap with a disc removed. Added on 2016-03-01	The Klein Quartic II The transition from a hyperbolic 14-gon to a genus 3 surface, while preserving the tiling by 24 heptagons. Added on 2016-02-16
Connected sum of two real projective planes Visual proof that the connected sum of two real projective planes is a Klein bottle. Added on 2016-02-18	Connected sums of real projective plane and torus or Klein bottle. Visual proof that the connected sum of a real projective plane and a torus , and the connected sum of a real projective plane and a Klein bottle are homeomorphic. Added on 2016-02-20
Dodecahedral tesselation of the hypersphere A dissection of the 120 cell in twelve rings of 10 dodecahedra. Two sets of six rings form 2 solid interlocked tori. The film starts by showing the 600 cell, the dual of the 120 cell. Added on 2016-02-21	The Klein Quartic I How this hyperbolic tiling can be folded into a genus 3 surface. Added on 2016-02-16