A flexible, preferably elastic empanelled book cover (12) that has pocket portions (25) to receive the covers of a book (10) that is inserted therein. The cover (12) consists of a unitary hexagonal sheet of pliable material such as “SPANDEX”, having extended upper and lower edges, with each edge bisected by a slot (32) of predetermined width that extends orthogonally. Fold lines (34, 36 and 38) form a laterally-extended rectangle, with the side fold lines (38) forming the lateral apices of the hexagon two triangular flap portions (20) of the cover pockets. The in-folded upper and lower flap portions of the hexagon are attached to each other and to the triangular side flap portions, to form the pocket portion (25), with lock stitching (27) at the innermost juncture by the spine opening. A central top and bottom fold-over engages the spine of the book in stabilizing relation. The unitary hexagonal blanks can be economically mass produced from roll material (40).