Finding Geometric Proofs of Maximum Length

Traditional geometric proofs often involve intricate and abstract reasoning, which can be challenging to formalize and verify. We explore the application of computational tools for addressing geometry problems through the use of symbolic graph structures to represent proofs. Our approach leverages advanced computational methods to translate geometric proofs into a symbolic graph framework, where nodes represent geometric entities as well as relationships and transformations between them. By employing this graph-based representation, we can systematically analyze and manipulate geometric proofs with increased efficiency and accuracy. We demonstrate the effectiveness of this method through an application, illustrating how symbolic graph structures facilitate clearer proof construction and reveal insights into geometric problem-solving strategies.