Apollonian group

The Apollonian group refers to a mathematical concept related to the properties and transformations of circles. In geometry, it describes a collection of circles that can be created through specific processes, such as the inverse of circles relative to others. This leads to fascinating relationships and patterns between the circles, often used in complex geometry and art. Named after the ancient Greek mathematician Apollonius, who studied conic sections, the group has applications in various fields, including physics and computer graphics, illustrating how shapes and spaces can be manipulated and analyzed.