Bravais three-dimensional lattices refer to the different ways in which atoms or molecules can arrange themselves in a regular pattern in three-dimensional space. These lattices are characterized by their lattice parameters, which determine the size and shape of the unit cell that repeats to form the overall lattice structure.

There are a total of 14 different types of Bravais three-dimensional lattices. Let's understand why option (d) is the correct answer in detail:

1. Introduction to Bravais Lattices:
- Bravais lattices are named after Auguste Bravais, a French mathematician.
- They represent the different ways in which a set of discrete points can be arranged to form a crystal lattice.
- These lattices are classified based on their symmetry properties and translational symmetries.

2. Classification of Bravais Lattices:
- Bravais lattices are classified into seven crystal systems based on the lengths and angles of the lattice parameters.
- These crystal systems are further divided into different lattice types based on the positions of lattice points within the unit cell.

3. Number of Lattice Types:
- Each crystal system can have one or more lattice types associated with it.
- The seven crystal systems are cubic, tetragonal, orthorhombic, monoclinic, triclinic, hexagonal, and rhombohedral.
- For example, the cubic crystal system has three lattice types: simple cubic, body-centered cubic, and face-centered cubic.

4. Counting the Lattice Types:
- To determine the total number of lattice types, we need to sum up the lattice types for each crystal system.
- The cubic crystal system has 3 lattice types.
- The tetragonal, orthorhombic, monoclinic, and triclinic crystal systems have 2 lattice types each.
- The hexagonal and rhombohedral crystal systems have 1 lattice type each.
- Adding them up: 3 + 2 + 2 + 2 + 2 + 1 + 1 = 13.

5. Additional Lattice Type:
- In addition to the 13 lattice types counted so far, there is an additional type called the primitive rhombohedral lattice.
- This lattice is unique because it has a rhombohedral unit cell with lattice parameters that are not related to the hexagonal lattice.
- Therefore, the total number of lattice types is 13 + 1 = 14.

Hence, the correct answer is option (d) - 14 types.