What technique involves cutting a large blossom into pieces and re-wiring them?

The technique that involves cutting a large blossom into pieces and re-wiring them is known as feathering. This technique allows for creative manipulation of the flower's components, enhancing the overall design by giving the appearance of fullness and texture. By cutting the flower into smaller pieces and re-wiring them, a florist can modify the flower's shape, volume, and position within an arrangement. Feathering is particularly useful for achieving a more dynamic and visually interesting composition, as it allows for greater control over the placement of each segment.

The other techniques mentioned do not involve the process of cutting and re-wiring a blossom. Petal arrangement typically refers to the positioning of petals in a design without any cutting involved. Layering involves the placement of flowers or materials in a way that adds depth but does not entail altering the individual flowers themselves. Punching is not a recognized floral design technique in this context. Thus, feathering stands out as the correct technique for the described actions.