This core set of mathematical-physical equations has two equivalent core forms: the proportional symmetric form and the product causal form. Homologous and homogeneous in essence yet functionally differentiated, they complement each other in mathematical structure, physical implication and cosmic characterization, fully interpreting the ultimate mathematical essence of the fine-structure constant . During long-term derivation and systematic research (detailed deduction and description are available in my previous two papers), we discover that the fine-structure constant is neither a pure physical constant nor a mere geometric constant. Endowed with the dual innate attributes of "geometric aestheticism" and "physical orderliness", it cannot be fully defined via a single nomenclature. Composed entirely of three Greek letters, the two algebraic forms are named after two goddesses from ancient Greek mythology against the millennia-long cultural backdrop of mathematical and physical science: • Proportional Symmetric Form: Venus Equation: • Product Causal Form: Athena Equation: This dual-naming system is not superficial literary embellishment but a systematic, precise definition grounded in equation structure, mathematical function, constant properties and cosmic natural laws. The classic approximate value of the fine-structure constant reads , and the number 137 acts as the critical link connecting the present research to century-long unsolved puzzles in classical physics. Subsequent chapters explore the intrinsic numerical characteristics of 137 from recreational number theory, realizing organic integration between rigorous theoretical derivation and elementary recreational mathematics. Note: Whether Venus Equation and Athena Equation can be permanently incorporated into the global system of mathematics and physics awaits rigorous experimental verification and practical empirical tests!