Which projection should I choose to generate equidistant points on the entire globe?

Discussion created by gabrielad on Nov 4, 2013
Latest reply on Nov 12, 2013 by paulcone

I need to create a grid to calculate species richness in arc gis 9.3.
Then I need to extract environmental variables to these cells of the grid.
To extract the variables it´s necessary to create points. I need these points to be equidistant.

What I have done:

1-I choose the projection Cylindrical Equal Area so I could generate a grid with cells with the same area.
2-I calculated the species richness for each cell of the grid and then I converted this grid to raster.
3-I converted this raster to points and I extracted envirnomental variables to this points.

The points where generated in the center of the cell, but I don´t know if they are equidistant, even the cells having the same size.

Thank you.