An inversion circle is a geometric concept used in mathematics, particularly in the study of circles and transformations. It refers to a circle that is formed by inverting points in a given circle with respect to a specific center point. This transformation can change the position and size of the original circle, creating a new circle that maintains certain properties. Inversion circles are often used in various fields, including geometry, complex analysis, and topology. They help in solving problems related to conic sections and can simplify complex configurations by transforming them into more manageable forms.