Your question confuses me. On the one hand you ask for the name of what is cut out (which would be a "circle", or "heart", etc.). Are you asking about the hole or the piece that comes out of the hole or about the machine (the "punch") that creates the hole? Then you seem to change the question by asking for a name for a printed image. You seem to be asking about many things at once.

The terminology for shapes created by craft punches or images printed on stickers can vary depending on the context. Here are some common terms used to describe them: Shape: These are often referred to as shapes, especially when the focus is on the physical cutouts created by craft punches. For example, you might say, "I punched out heart-shaped shapes from colored paper." Image: When discussing images on stickers, you can call them images. For instance, "The sticker features a cute image of a cat." Motif: The term motif is typically used when describing a recurring design element, often found in patterns or decorative designs. For example, "The motif of flowers is printed on the stickers." Picture: This is a more general term and can be used to describe the visuals on stickers or cutouts. For example, "The stickers have pictures of animals." Pattern: When the images or shapes are arranged in a repeating design, you can refer to them as a pattern. For instance, "The pattern on the stickers includes stars and moons." In summary, the choice of terminology depends on the specific context and what aspect of the shapes or images you want to emphasize.