Using advanced mathematical tools inspired by physics, the team has derived a general equation for any number of tangent circles, offering fresh insights into an equation originally proposed by ...

Left, a 3-flower. Right, a 5-flower. Credit: Journal of Geometry and Physics, 10.1016/j.geomphys.2025.105458 Monash University researchers have extended Descartes’ Circle Theorem by finding a general ...

Perform calculations on lines, polygons, planes and circles, including normals, intersections of objects, distance between objects, and tangent lines. Throughout this library, lines can be treated as ...