centroid

Geometric balance point

Centroid is a geometry term for the center of mass of a shape—the point where it would balance perfectly if cut from uniform material.

For a triangle, it's where the three medians intersect; for irregular shapes, it requires calculus or computational methods to find.

The concept extends beyond pure geometry into statistics and data science, where centroid refers to the average position of a cluster of points.

The algorithm assigns each data point to its nearest centroid.

geometry

barycenter

Mutual orbit point

coordinates · midpoint · bisector · median · circumcenter · incenter · orthocenter · tetrahedron · quadrilateral · convex

clustering

k-means

Centroid-based clustering algorithm

data-point · classification · silhouette · multivariate · dendrogram · hierarchical · iteration · convergence · representative · assignment

physics

equilibrium

State of balance

stability · fulcrum · inertia · lever · mechanical · statics · rotation · pivot

statistics

mean

Average, or spiteful

aggregate · arithmetic · computation · median · variance · normalization · dataset · sample · population · outlier

Categories
Opposites
spatial position

centroidperimeter

Shape's outer edge length

boundary · periphery · edge · circumference · border

geometric focus

centroidvertex

Point where edges converge

corner · apex · extremity · endpoint · outlier

central tendency vs. extreme values

centroidoutlier

Distant data point

extremum · endpoint · maximum · minimum · tail

Family

centroids

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