what is the historical origin of the mosaic pavement in craft masonry and how do writers like preston and mackey interpret its meaning

Early rituals of the eighteenth century include the mosaic pavement among the ornaments of the lodge 1. Historically, early speculative records contain little direct account of its origin 1. Etymologically, the term derives from the Greek mousa (muse) rather than from Moses 1. Its Masonic presence is traced to operative builders using squared tracing boards or floors to lay out plans 1, and to the traditional association of the lodge floor with the Temple, specifically Gabbatha, or the Pavement, where the Sanhedrim met 1.

Albert Mackey records that the alternating black and white stones are interpreted as symbols of the good and evil of human life 1. Symbologists also read the light and dark squares as an emblem of day and night, connecting it to the broader solar and temporal symbolism found throughout the lodge 1. Albert Pike is cited as viewing the contrasting pavement as representing the dual principles of good and evil found in ancient Egyptian and Persian creeds 1. Beyond moral and philosophical readings, the checkered floor serves a practical symbolic function in governing movement, marking right-angled turns during circumambulation and guiding the position of the feet 1.

The supplied sources do not include William Preston's specific interpretations or writings on the mosaic pavement.