Mathematical Imagery by Jos Leys

Latest galleries :

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
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
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
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
The real projective plane and the Moebius strip
The real projective plane minus a disc is a Moebius strip.
Added on 2016-02-18
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Galleries by category :

Kleinian groups
Where we enter the wonderful world first envisaged by Felix Klein. These pages where inspired by <A HREF=""target="new">"Indra's Pearls" </A>by David Mumford, Caroline Series and David Wright.
3D inversive geometry
Where we we find ways of filling spheres with spheres and do other strange things with this simplest of all 3D objects...
3D Fractals
Different species of fractals in 3D...
Circle Packings
Where we discover the art of assembling kissing circles, and find out what Doyle spirals are.
The M.C.Escher flavoured pages
Where we find impossible geometry, tesselations and even the Droste effect.
Advanced geometry
Where we find Penrose, Voronoi and hyperbolic tilings..and where we have some fun with circles and spheres.We also encounter math surfaces, plane-filling curves, knot dynamics and take a mathematical look at the shape of Planet Earth.
Simple geometry
Things like Celtic knots, spirals and 'Looms".
Fractal images, including general 3D fractals and the Mandelbulb.
Movie collection
Biomorphic fractals
Biomorphic: resembling or suggesting the forms of living organisms
Topology movies
Topics in topology

Copyright 2016 Jos Leys