This paper provides some supplements and revisions to our previous paper titled "New Circular Periodic Table of Elements and Natural Group Theory" (viXra:2401.0001). A subtle revision of circular periodic table of elements is to make 5f small circle (sub-period) not contact to 7sp big circle (main period)，and hence indicates that the 89th element Ac* belongs to 6d elements and the 90th element Th* is the beginning of 5f elements. With this revision, we illustrate the relationships between the stable numbers in nuclides and 2π or π elements, highlight the characteristic numbers of 141, 157 and 173 in f periods and present some proofs in terms of chemical properties for the 70th element Lu to be the end of 4f elements and for the 90th element Th* to be the beginning of 5f elements. We also illustrate the relationships between the characteristic number 112/137/168 and 141/157/173. By the way, we suggest suitable Chinese names for the 117th and 118th element Ts* and Og*.