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

... - Wikipedia <<Up     Contents Autocracy Autocracy is a form of government which resides in the absolute power of a single individual. Th ...

This page was created in 24.6 ms