Which mathematician is recognized as the "Father of Geometry"?

The title "Father of Geometry" is attributed to Euclid due to his influential work in the field of geometry, particularly through his compilation of the knowledge of geometry in a systematic form. His most famous work, "Elements," is a comprehensive collection of definitions, axioms, propositions, and proofs which laid the foundation for what is now taught as plane geometry. Euclid's approach to presenting mathematical concepts rigorously and logically has had a lasting impact on the teaching and understanding of mathematics, making his contributions pivotal in shaping the discipline.

His methods, including the use of deductive reasoning and geometric proofs, are still prevalent in mathematics today. In contrast to the other mathematicians listed, such as Euler, who made significant advancements in many areas of mathematics including calculus and graph theory, or Fibonacci, known for his contributions to number theory and the Fibonacci sequence, and Descartes, who is recognized for his work in algebra and coordinate geometry, Euclid's specific association with geometry through his foundational texts is what distinguishes him in this context.