A sleeve for attaching to a cylindrical platform of a die cutting machine. The sleeve includes a first elastic member and a second elastic member. The sleeve may be arranged in a cylindrical configuration by aligning a first abutting surface of the first elastic member to a second abutting surface of the second elastic member. The first elastic member and the second elastic member can be mounted on a cylindrical platform without the need for a locking mechanism to secure the sleeve onto the cylindrical platform.

A cylindrical sleeve for attaching to a cylindrical platform of a die cutting machine, the cylindrical sleeve including a first elastic member and a second elastic member substantially identical to the first elastic member, each of the first elastic member or the second elastic member comprising an inner surface, an outer surface opposite to the inner surface, a first abutting surface, a second abutting surface opposite to the first abutting surface, a first end surface, and a second end surface opposite to the first end surface, wherein the first abutting surface and the second abutting surface are planar surfaces, wherein the cylindrical sleeve is formed by aligning the first abutting surface of the first elastic member to the second abutting surface of the second elastic member, and aligning the second abutting surface of the first elastic member to the first abutting surface of the second elastic member, and wherein an inner surface of the cylindrical sleeve formed by the inner surfaces of the first and second elastic members encompasses a cylindrical hollow space having an axis inclined relative to at least one of the first abutting surface or the second abutting surface of the first elastic member.