scope of the present invention the smallest width is located on both ends or side edges of the sleeve 7 8 in one example the side edges 7 8 are approximately 1 u215e u2033 in width but can have a smaller or larger size in a further example the side edges 7 8 have different width from each other in an example of the invention a distance between the side edges 7 8 is approximately 12 u2033 such a distance provides a beverage sleeve with the appropriate size to wrap around containers of a plurality of sizes in an example of the invention the beverage sleeve 10 can be u215b or 3 16 inches thick but it should be appreciated that any desirable size of the various dimensions of the sleeve are contemplated by embodiments of the invention depending on the desires of the producer and depending on the type of advertising requested as shown in fig1 a top edge 9 of the beverage sleeve is formed with a substantially constant radius of curvature the radius of curvature could be for example 18 u2033 due to the constant radius of curvature from one end of the sleeve to the other end the beverage sleeve will fit snugly and securely to the container and the advertising discussed in more detail later can be seen in a readable manner in an example of the invention the bottom edge of the beverage.