Encyclopedia > Andreini tessellation

  Article Content

Andreini tessellation

The Andreini tessellations are tilings of three-dimensional space using Platonic and Archimedean solids such that all vertices are identical. There are precisely five such tilings:

The tiling of octahedra and tetrahedra is of special importance since its vertices form a cubic close-packing of spheres. All of these are found in crystal arrangements.

This is not correct. There are 28 such tessellations. See B. Grünbaum, Uniform tilings of 3-space. Geombinatorics 4(1994), 49 - 56.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Quioque, New York

... mi²) of it is water. The total area is 25.44% water. Demographics As of the census of 2000, there are 800 people, 336 households, and 192 families residing in the ...

 
 
 
This page was created in 37.3 ms