The maximum number of Bravais lattices is shown by tetragonal-type crystals.

Explanation

To determine whether the statement "The maximum number of Bravais lattices is shown by tetragonal-type crystals" is true or false, we need to analyze the Bravais lattices associated with different crystal systems.

### Step-by-Step Solution:

1. **Understanding Bravais Lattices**:
Bravais lattices are distinct arrangements of points in space that can be used to describe the periodic structure of a crystal. There are 14 unique Bravais lattices in three-dimensional space.

2. **Identifying Crystal Systems**:
The 14 Bravais lattices are categorized into seven crystal systems: cubic, tetragonal, orthorhombic, rhombohedral, hexagonal, monoclinic, and triclinic.

3. **Counting Bravais Lattices in Each System**:
- **Cubic**: 3 Bravais lattices (Simple Cubic, Body-Centered Cubic, Face-Centered Cubic)
- **Tetragonal**: 2 Bravais lattices (Simple Tetragonal, Body-Centered Tetragonal)
- **Orthorhombic**: 4 Bravais lattices (Simple Orthorhombic, Body-Centered Orthorhombic, Face-Centered Orthorhombic, End-Centered Orthorhombic)
- **Rhombohedral**: 1 Bravais lattice
- **Hexagonal**: 2 Bravais lattices (Simple Hexagonal, Close-Packed Hexagonal)
- **Monoclinic**: 2 Bravais lattices (Simple Monoclinic, Base-Centered Monoclinic)
- **Triclinic**: 1 Bravais lattice

4. **Conclusion**:
From the counts above, the orthorhombic system has the maximum number of Bravais lattices (4), while the tetragonal system only has 2. Therefore, the statement that "the maximum number of Bravais lattices is shown by tetragonal-type crystals" is **false**.

### Final Answer:
The statement is false. The maximum number of Bravais lattices is shown by orthorhombic-type crystals.