Understanding Lattice Points in a Primitive Cubic Cell

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A primitive cubic cell contains eight atoms located at each corner of the cube, but it is defined by a single lattice point. This is because the lattice points at the corners are not counted individually; instead, they contribute to the overall structure through symmetry operations. Each corner atom is shared among adjacent cells, meaning that while there are eight atoms, they collectively represent one lattice point in the context of the entire lattice structure.
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Hello,

Suppose I have a primitive cubic cell with 8 atoms, one on each corner of the cube. I don't understand how this consists of only one lattice point? Doesn't each corner have a lattice point, thus the cell would consist of 8 lattice points??
 
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No, several lattice points are used to reproduce the entire lattice by symmetry operations.
 

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