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For power spectrum estimation  it's important that the pixelization  of a CMB sky map be  smooth and regular to high degree.  With this criterion in mind  the ``COBE sky cube" was defined.  This paper has as central theme  to further improve on this elegant scheme  which uses a cube as projective base  -- here an icosahedron is used in its place.  Although the sky cube is excellent,  a further reduction of 20 percent  of the number of pixels can be obtained  while the pixel distance is maintained,  and without any degradation  of accuracy for integration.  The pixels are rounder in this scheme, where  they are hexagonal rather than square,  and the faces are small in this implementation  which simplifies area-equalization.  The reason distortion is lessened is that  the faces are smaller and therefore more flat.  To use the method, you can get  a FORTRAN code from the Internet.

An Icosahedron-based Method for Pixelizing the Celestial Sphere