A stacking apparatus (100, 200), comprising: a roller set (120, 220) having at least first and second portions (122, 124; 222, 224, 226a, 226c; 222, 224, 226b, 226d); a band (102; 202) passing against at least one of said first portion (122, 222, 224, 226a, 226c) and said second portion (124, 222, 224, 226b, 226d) of said roller set (120, 220), wherein said band (102, 202) has an exterior surface engaging at least a portion of said roller set (120, 220), and wherein said band (102, 202) is configured to receive a stackable item (150; 250) thereon and to move said stackable item (150; 250) to a predetermined location; and a mechanism (142, 144, 110; 242, 244) for causing said band (102, 202) to orbit along an orbital path (112; 212), wherein said mechanism (142, 144, 110, 242, 244) comprises a first roller (142, 242) and a second roller (144, 244) engaging said band (102, 202), wherein the first and second rollers (142, 242, 144, 244) are configured to orbit along said orbital path (112, 212), wherein orbiting of said first and second rollers (142, 242, 144, 244) along said orbital path (121, 212) causes said band (102, 202) to orbit along said orbital path (112, 212), wherein said first and second rollers (142, 242, 144, 244) are disposed inside said band (102, 202), wherein, at said predetermined location, said band (102; 202) releases said stackable item (150, 250) by continuing to orbit along said orbital path (112, 212), but with approximately zero total velocity, and wherein at said predetermined location, said band (102, 202) has a rotation that is essentially negated by the orbital movement of said band (102, 202), and wherein: at a first position in which said first roller (142, 242) and said second roller (144, 244) are both on a same side of said roller set (120, 220), said roller set (120, 220) is substantially stationary relative to its center; and at a second position in which said first roller (142, 242) and said second roller (144, 244) are on opposite sides of said roller set (120, 220), said band (102, 202) at least partially causes said roller set (120, 220) to collectively rotate. a roller set (120, 220) having at least first and second portions (122, 124; 222, 224, 226a, 226c; 222, 224, 226b, 226d); a band (102; 202) passing against at least one of said first portion (122, 222, 224, 226a, 226c) and said second portion (124, 222, 224, 226b, 226d) of said roller set (120, 220), wherein said band (102, 202) has an exterior surface engaging at least a portion of said roller set (120, 220), and wherein said band (102, 202) is configured to receive a stackable item (150; 250) thereon and to move said stackable item (150; 250) to a predetermined location; and a mechanism (142, 144, 110; 242, 244) for causing said band (102, 202) to orbit along an orbital path (112; 212), wherein said mechanism (142, 144, 110, 242, 244) comprises a first roller (142, 242) and a second roller (144, 244) engaging said band (102, 202), wherein the first and second rollers (142, 242, 144, 244) are configured to orbit along said orbital path (112, 212), wherein orbiting of said first and second rollers (142, 242, 144, 244) along said orbital path (121, 212) causes said band (102, 202) to orbit along said orbital path (112, 212), wherein said first and second rollers (142, 242, 144, 244) are disposed inside said band (102, 202), wherein, at said predetermined location, said band (102; 202) releases said stackable item (150, 250) by continuing to orbit along said orbital path (112, 212), but with approximately zero total velocity, and wherein at said predetermined location, said band (102, 202) has a rotation that is essentially negated by the orbital movement of said band (102, 202), and wherein: at a first position in which said first roller (142, 242) and said second roller (144, 244) are both on a same side of said roller set (120, 220), said roller set (120, 220) is substantially stationary relative to its center; and at a second position in which said first roller (142, 242) and said second roller (144, 244) are on opposite sides of said roller set (120, 220), said band (102, 202) at least partially causes said roller set (120, 220) to collectively rotate. at a first position in which said first roller (142, 242) and said second roller (144, 244) are both on a same side of said roller set (120, 220), said roller set (120, 220) is substantially stationary relative to its center; and at a second position in which said first roller (142, 242) and said second roller (144, 244) are on opposite sides of said roller set (120, 220), said band (102, 202) at least partially causes said roller set (120, 220) to collectively rotate.