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The intersection of cylinders, whose axes all go through a common point and have equally distributed directions, yields very interesting shapes.

 

Click on the pictures or numbers to get a bigger picture and more informations for this intersection.

 

The figure indicates the number of intersecting cylinders.

 

Get the cylinder intersections in virtual reality!

 

Elements from the analytical geometry

 

More information for the intersection of 4 cylinders

 

As an example, details for the intersection 150

 

Other views on the intersection of 3 cylinders

 

Interesting relationships between the polygedra giving the directions of the intersecting cylindres.

 

A theorem for the number of facets of a intersection of cylinders.

 

Recognize the pattern of an intersection of cylinders.

 

See also: http://mathworld.wolfram.com/SteinmetzSolid.html

 

See a mention in SpektrumDirekt

 

The dual of the cube is the octahedra. Do you know the dual of an intersection of cylinders? [12.11.2005]

 

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intersection de cylindres 1