A cyclone separator has individual cyclones each provided with a cell tube with a guide device that causes a gas stream passing through the cell tube to rotate. A particle discharge is positioned perpendicularly to a longitudinal axis of the cyclone separator and discharges particles separated from the gas stream. The discharge direction of the separated particle is perpendicular to the longitudinal axis of the cyclone separator and is oriented toward the particle discharge. The individual cyclones include at least four individual cyclones that are arranged such that a connecting line, connecting of these four individual cyclones those individual cyclones that are neighboring each other at a minimal spacing, respectively, forms a diamond, wherein the sides of the diamond are positioned at an angle of 30 to 60 degrees relative to discharge direction.