The paper continues the overview of tensegrity, part I of which deals with the fundamental classification of tensegrities based on their topologies. This part II focuses on special features, classification and construction of high frequency tensegrity spheres. They have a wide range of applications in the construction of tough large scale domes, in the field of cellular mechanics, etc. The design approach of double layer high frequency tensegrities using T-tripods as compresion members for interconnecting the inner and outer layers of tendons is outlined. The construction of complicated single and double bonding spherical tensegrities using a repetitive pattern of three-strut octahedron tensegrity in its flattened form is reviewed. Form-finding procedure to design a new tensegrity structure or improve the existing one by achieving the desired topology and level of prestress is discussed at the end. The types of tensegrities, their configurations and topologies studied in both parts of this overview paper can be helpful for their recognition in different technical fields and,consequently, can bring their broader applications. and Obsahuje seznam literatury