A circumsphere in 2D:

And in 3D:

The circumsphere of the regular octahedron:

Its surface area:

Find the intersections of a Line and a Circumsphere:

Find the intersection of two circumspheres:

Find a perpendicular bisector of a triangle:

Visualize circumcenter and bisectors in red:

The defining property of a DelaunayMesh is that no input point is contained in the circumcircle of any Triangle in the mesh:

Use Circumsphere to approximate the radius of curvature of a function:

Compare the exact radius of curvature with the radius from the circumcircle approximation:

Plot it:

Use a circumsphere with symbolic input to derive a formula for the radius of curvature:

The result is identical to the radius formula:

Use Circumsphere to find a disk covering for any region with a triangulation. First triangulate the region:

Use Circumsphere to compute a circle for each triangle:

Compute its efficiency:

Use Circumsphere to generate a ball covering for a triangulated region. First discretize and triangulate the region:

Use Circumsphere to compute spheres for each tetrahedron:

Compute the packing density:

Circumsphere can represent any Sphere by picking three points on a sphere in 2D:

Picking four points on a sphere in 3D etc.: