Cutting into essentially means to penetrate or to make an incision. It can refer to cutting with a sharp tool or a knife, or it can refer to making a mark or impression on a surface. Some synonyms for cutting into include carving, slicing, chiseling, engraving, scoring, etching, piercing, and gouging. Each of these words has slightly different connotations and contexts in which they are best used. For example, carving is often used to refer to cutting into wood or other dense materials, while etching is used to refer to the process of engraving a design onto metal or glass. Slicing is often used to refer to cutting food, while chiseling implies a more forceful or deliberate action.