Geometric centers | Polytopes | Polygons

Circumcenter of mass

In geometry, the circumcenter of mass is a center associated with a polygon which shares many of the properties of the center of mass. More generally, the circumcenter of mass may be defined for simplicial polytopes and also in the spherical and hyperbolic geometries. In the special case when the polytope is a quadrilateral or hexagon, the circumcenter of mass has been called the "quasicircumcenter" and has been used to define an Euler line of a quadrilateral. The circumcenter of mass allows us to define an Euler line for simplicial polytopes. (Wikipedia).

Circumcenter of mass
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From playlist Geometry

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From playlist Geometry

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Related pages

Hexagon | Simplicial polytope | Circumscribed sphere | Euler line | Center of mass | Extended side | Hyperbolic geometry | Polygon | Geometry | Planar lamina | Quadrilateral | Equilateral polygon | Spherical geometry | Circumcenter