In three-dimensional space, find the number of lattice points that have a distance of 3 from the origin.

Note: A point is a lattice point if all its coordinates are integers.
Question:
In three-dimensional space, find the number of lattice points that have a distance of 3 from the origin.

Note: A point is a lattice point if all its coordinates are integers.
Answer:
Let's think step by step.

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In three-dimensional space, find the number of lattice points that have a distance of 3 from the origin.

Note: A point is a lattice point if all its coordinates are integers.
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