Toric geometry is a branch of algebraic geometry that studies the geometry of toric varieties, which are algebraic varieties associated with a convex lattice polytope in a real vector space. Synonyms for toric geometry include "toric varieties", "toric algebraic geometry", and "lattice polytope geometry". Toric geometry has applications in many fields, including topology, physics, and computer science, as toric varieties show up naturally in these areas. The study of toric geometry has led to important breakthroughs in string theory and mirror symmetry. Toric geometry is a rich and fascinating subject that continues to attract researchers and mathematicians from around the world.