Hopf plumbing, arborescent Seifert surfaces, baskets, espaliers, and homogeneous braids

Four constructions of Seifert surfaces—Hopf and arborescent plumbing, basketry, and T-bandword handle decomposition—are described, and some interrelationships expounded, e.g., arborescent Seifert surfaces are baskets; Hopf-plumbed baskets are precisely homogeneous T-bandword surfaces.