Eight-leaf damask is a specific and unique term, but there are several synonyms that can describe it. One of these synonyms is octofoil damask. This term refers to the eight petals that form a circular motif in the fabric. Another synonym could be eight-petal damask, which also refers to the design. Another option could be eight-point damask, which describes the eight distinct points in the pattern. Lastly, octagonal damask could also be used to describe the fabric, as it refers to the eight-sided shape of the design. These synonyms can be helpful when trying to describe this particular type of damask fabric.