Mathematical Imagery by Jos Leys

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...

Galleries :

Sphere packings in 3D
How does one fill a sphere with smaller spheres of various sizes so that every possible void is filled?
Added on 2004-08-20
Sphere inversion animations
Some animated sphere inversions.
Added on 2005-04-17
Sphere inversions
Sphere inversion transformations are the 3D equivalent of circle inversions.
Added on 2004-11-01
Strip Geometry
These images use an algorithm that draws touching circles in a strip that stretches to infinity. In some images this infinite strip was inverted into one circle.The algorithm is based on a paper by Professor Hans Herrmann of Stuttgart University, Germany.
Added on 2005-01-02
Sphere inversions Page 2
More arrangements of spheres obtained by 3D inversion.
Added on 2005-07-01

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Copyright 2017 Jos Leys