What is the difference between points and vertices

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Points three.js docs are objects derived from Object3D three.js docs.

Vertices are the positions of triangles (corners) that form geometries. For example, PlaneGeometry three.js docs

See source three.js/PlaneGeometry.js at e48fc94dfeaecfcbfa977ba67549e6108b370cbf · mrdoob/three.js · GitHub

this.setIndex( indices );
this.setAttribute( 'position', new Float32BufferAttribute( vertices, 3 ) );

Note when you read something on the net, to which revision of three.js it belongs. The “old” geometry no longer exists since revision 125. THREE.Geometry will be removed from core with r125 All geometries are now created as BufferGeometry.

You can find simple examples in the Collection of examples from discourse.threejs.org
e.g. in the BeginnerExample BeginnerExample.
An example for Points is still missing there.

Here points are used (2018) Interaction with Points

From the docs:
three.js examples

click 2021-04-04 18.42.52 to see the source.

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