Unsolved geometry problems continue to intrigue mathematicians, with many conjectures remaining unproven despite extensive efforts. The Collatz conjecture is highlighted as a particularly challenging problem, illustrating the complexity of seemingly simple mathematical concepts. Participants express a mix of fascination and frustration when attempting to tackle these problems, often realizing the depth of difficulty involved. The discussion emphasizes the ongoing nature of mathematical exploration and the allure of solving these longstanding mysteries. Engaging with these unsolved problems fosters a deeper appreciation for the intricacies of geometry.