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.

## Galleries :

 VasesA collection of virtual vases, created by inverse stereographic projection of different patterns on the spherical surface of the vase.Added on 2013-12-05
 4D PolychoraPictures made with a kaleidoscopic method for drawing 4D polychora.Added on 2012-06-03
 Knots and dynamicsA collaboration with Prof. Etienne Ghys of the Ecole Normale Supérieure de Lyon, containing material presented at the International Congress of Mathematicians (Madrid, August 2006)Added on 2006-08-23
 Hyperbolic tesselations in 3DTwo kinds of views of hyperbolic space.Added on 2012-06-03
 Flat Earth NonsenseThe so-called 'flat Earth doctrine' debunked in a couple of easy, verifiable steps.Added on 2018-03-28
 Knots and dynamics animations.A collection of animations where one can see what a matrix looks like in four dimensions, how to make spaghetti using a 'horocycle', and more.. . Added on 2006-08-23
 The shape of Planet EarthCould the Earth have been flat after all? How about cigar shaped? Or do you prefer pear shaped? It seems it is all possible. Just a question of enough spin..Added on 2006-10-24
 Hyperbolic rings and stripsTransformations of tilings in the Poincaré disc.Added on 2010-04-22
 Hyperbolic animationsAnimated hyperbolic tilings.Added on 2005-04-18
 Animations of 3D curves and surfacesMoving curves and surfaces!Added on 2005-04-18
 Frivolous mathematical surfacesI don't think you will find many of these in a math textbook...Added on 2004-09-01
 Penrose tilingsNot all images follow the 'classic' Penrose tiling rules. Some were constructed allowing rhombs with smaller angles. Added on 2002-08-01
 The DragoncurveThe Dragoncurve is the shape taken by a strip of paper that is folded many times.Added on 2001-06-10
 Hyperbolic TilingsThe Poincaré disc: the whole world compressed in a circle.Added on 2002-11-10
 The Hilbert curveThe Hilbert curve is a space-filling curve. It will eventually fill the entire plane, without ever crossing itself.Added on 2002-06-01
 Painted SpheresPenrose tilings, Voronoi diagrams and other things, stretched over a sphere.Added on 2003-01-01
 Fun with CirclesFord circles and circle inversions. For more information on Ford circles, visit Wikiverse Ford circle page . For more information on circle inversions, visit Wikiverse inversion page .Added on 2003-06-01
 Mathematical surfacesA collection of classic mathematical surfaces: from the trefoil knot to the Klein bottle.Added on 2004-09-04
 Voronoi diagramsAcknowledgments to Craig S. Kaplan , who introduced me to ornamental Voronoi designs through his paper on the subject.Added on 2002-09-22

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