How many 3 dimensional lattices are possible mathematically?

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Recently I was studying solid chemistry (crystal lattices) and there was a line in my text book.

A French mathematician, Bravais, showed that there are only 14 possible three-dimensional lattices. These are called Bravais lattices.

So what got me intrigued was if this constraint on number of lattices a mathematical or a chemical one?

I think it is mathematically possible to create infinite lattices but I am not sure.

Question :

What limits the number of lattices in three dimensions?