This paper is a subsequent paper to the paper “Chen’s Formulas of the Fine-structure Constant” (viXra:2002.0203) for giving some supplements. In the previous paper, many formulas of the fine-structure constant α based on the most important key number 112 had been given. In this paper, some new formulas of α based on a subsequent key number 173 were deduced, some formulas of α were expressed as fractional numbers, some new formulas of Euler number e and their relationships with nuclides were given, the relationships of some formulas of 2π with nuclides were revealed, the relationships between some constants (e, γ, γc, γg and γcg) and nuclides were disclosed, a picture showing the unification of mathematics and physics through α was depicted, the most important formula of the speed of light in atomic unites cau was revised to be more reasonable, a Fibonacci sequence containing 173 and its relationships with nuclides were proposed, the meanings of the numerical values of α and cau were discovered, some formulas of α based on 137, 83, 832, 112×173, 163×173, 36/112, 100×112, 29 and so on were presented, continued fractions of α and cau were gained, an overall picture of the set of formulas of α was designed, and comparison of the calculated and measured values of α was exhibited.