A point  A node 

A point refers to the intersection of two or more (geometry) lines..  A mesh node (‘node‘ for short) refers to the intersection of two ore more mesh lines. 
The frame below consists of 4 points.
A point, will always result in a node in the mesh. 
The same frame contains 19 nodes.
The number of nodes depends on the chosen mesh size. 
How to show the point numbers:  How to show the node numbers:

How to search for a certain point:  It is not possible to perform a search based on node number.
