Separation and classification equipment suitable for separating a mixed waste material into a heavier weight first fraction, a lightweight second fraction, and a super lightweight third fraction, the separation and classification equipment comprising: an upstream first section and a downstream second section; an inlet for feeding the mixed waste material toward a gap located in the first section of the separation and classification equipment; a blower for discharging a single stream of air, the blower being arranged to discharge the stream of air from the first section through the gap in a vertically inclined direction and downstream toward the second section and along a longitudinal axis of the separation and classification equipment, such that during operation, the stream of air from the blower passes through the gap, as the mixed waste material falls through the gap, and the stream of air separates and carries away both the lightweight second fraction and the super lightweight third fraction from the gap and the first section and toward the second section while the heavier weight first fraction falls, due to gravity, through the stream of air and the gap and collects in a heavier weight first collection area, the stream of air flowing from the first section to the second section of the separation and classification equipment; and a rotatable permeable member (40, 40') being arranged in the second section of the separation and classification equipment, the rotatable permeable member (40, 40') being configured for permitting the stream of air from the blower to pass therethrough such that, as the stream of air passes through the rotatable permeable member (40, 40'), the super lightweight third fraction tends to be forced against and retained by a surface of the rotatable permeable member (40, 40') and be conveyed, by the rotatable permeable member (40, 40'), toward a super lightweight third collection area while the lightweight fraction separates, from both the rotatable permeable member (40, 40') and the super lightweight third fraction, and collects in a separate lightweight second collection area; and at least a portion of the stream of air, which passes through the rotatable permeable member (40, 40'), being returned back to an inlet of the blower, via an air return conduit, for a further pass through the separation and classification equipment. an upstream first section and a downstream second section; an inlet for feeding the mixed waste material toward a gap located in the first section of the separation and classification equipment; a blower for discharging a single stream of air, the blower being arranged to discharge the stream of air from the first section through the gap in a vertically inclined direction and downstream toward the second section and along a longitudinal axis of the separation and classification equipment, such that during operation, the stream of air from the blower passes through the gap, as the mixed waste material falls through the gap, and the stream of air separates and carries away both the lightweight second fraction and the super lightweight third fraction from the gap and the first section and toward the second section while the heavier weight first fraction falls, due to gravity, through the stream of air and the gap and collects in a heavier weight first collection area, the stream of air flowing from the first section to the second section of the separation and classification equipment; and a rotatable permeable member (40, 40') being arranged in the second section of the separation and classification equipment, the rotatable permeable member (40, 40') being configured for permitting the stream of air from the blower to pass therethrough such that, as the stream of air passes through the rotatable permeable member (40, 40'), the super lightweight third fraction tends to be forced against and retained by a surface of the rotatable permeable member (40, 40') and be conveyed, by the rotatable permeable member (40, 40'), toward a super lightweight third collection area while the lightweight fraction separates, from both the rotatable permeable member (40, 40') and the super lightweight third fraction, and collects in a separate lightweight second collection area; and at least a portion of the stream of air, which passes through the rotatable permeable member (40, 40'), being returned back to an inlet of the blower, via an air return conduit, for a further pass through the separation and classification equipment.