Rotary cylindrical attachable sleeve

A die cutter comprising:

• a die cylinder;
• an anvil cylinder;
• and
• a sleeve, mountable to the die cylinder, having a thickness to reduce a gap space between the die cylinder and the anvil cylinder, wherein the sleeve further comprises:
• 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 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, when mounted on the die cylinder, the inner surfaces of the first and second elastic members contacts the die cylinder, and wherein the die cylinder has an axis inclined relative to at least one of the first abutting surface or the second abutting surface of the first elastic member.

A cylindrical sleeve for attaching to a cylindrical platform of a die cutting machine, the cylindrical sleeve comprising:

• a first member comprising:
• a first volume of an elastic material;
• and
• a first concave surface, a first convex surface opposite to the first concave surface, a first abutting surface comprising a first protrusive portion, a second abutting surface comprising a second protrusive portion opposite to the first abutting surface, a first end surface, and a second end surface opposite to the first end surface;
• and
• a second member comprising:
• a second volume of the elastic material;
• and
• a second concave surface, a second convex opposite to the second concave surface, a third abutting surface comprising a first recess to receive the first protrusive portion, a second abutting surface opposite to the first abutting surface comprising a second recess to receive the second protrusive portion, a third end surface, and a fourth end surface opposite to the third end surface,
• wherein the first member and the second member are to be coupled on the cylindrical platform for die cutting by placing the first protrusive portion into the first recess, and placing the second protrusive portion in the second recess.