Patent ID: 7260778

Claim:
A method for printing N graphic pages as a booklet document, said N pages being numbered as page 1, page 2, . . . , page N, said N being a positive integer of at least 2, said method comprising the steps of: computing a remainder R such that R=N modulo( 4 ); and printing the N pages on a plurality of sheets of the document according to a printing sequence of the N pages dictated by the remainder R, wherein each sheet has a recto side and a verso side, and wherein the recto and verso sides each have a left hand side and a right hand side, wherein said computing the remainder R has computed R=1, and wherein said printing the N pages comprises the steps of: (a) providing the sheets in a printer such that a next sheet available for being printed is in the printer; (b) setting I=N+3, I 4 =N+3, and J=1; (c) after steps (a)-(b), printing page J on the right hand side of the next sheet; (d) if N<5 then removing the printed next sheet from the printer and ending said printing the N pages, otherwise: (e) turning the next sheet in the printer on a short edge of the next sheet; (f) decrementing I by 1 and incrementing J by 1; (g) printing page J on the left hand side of the next sheet; (h) removing the printed next sheet from the printer such that another sheet in the printer becomes the next sheet available for being printed; (i) decrementing I by 1 and incrementing J by 1; (j) printing page J on the right hand side of the next sheet; (k) turning the next sheet in the printer on a short edge of the next sheet; (l) decrementing I by 1 and incrementing J by 1; (m) printing page J on the left hand side of the next sheet and printing page I on the right hand side of the next sheet; (n) removing the printed next sheet from the printer such that another sheet in the printer becomes the next sheet available for being printed, wherein steps (c)-(n) are performed in the order recited; (o) after step (n), if N<9 then removing the printed next sheet from the printer and ending said printing the N pages, otherwise: (p) setting P=3; (q) after step (p), printing page I 4 −2P+2 on the left hand side of the next sheet and printing page 2P−1 on the right hand side of the next sheet; (r) turning the next sheet in the printer on a short edge of the next sheet; (s) printing page 2P on the left hand side of the next sheet and printing page I 4 −2P+1 on the right hand side of the next sheet; (t) removing the printed next sheet from the printer such that another sheet in the printer becomes the next sheet available for being printed; (u) incrementing P by 1; (v) if P<I 4 /4 then ending said printing the N pages, otherwise looping back to step (q) and performing steps (q)-(v) iteratively until said printing the N pages ends in step (v), wherein steps (q)-(v) are performed in the order recited.