To determine the total number of parallelograms in the given diagram, we can break down the process into simple steps.

1. **Identify Simple Parallelograms:**
The diagram consists of smaller triangular shapes that can form simple parallelograms by combining two triangles.

• Count the number of simple parallelograms formed by joining two triangles. There are 9 such combinations horizontally.

2. **Identify Larger Parallelograms:**
Larger parallelograms can be formed by combining multiple smaller parallelograms.

• Combine triangles vertically across the rows. You can form additional larger parallelograms by merging pairs of triangles along these segments.
• Each horizontal row grants multiple such combinations. Let's say there are 6 per row.

3. **Identify Whole-Structure Parallelograms:**
Consider the entire structure as one large parallelogram, if applicable.

• Here, let's count additional possible parallelograms covering larger spans in the full diagram.
• This gives us 2 whole-structure parallelograms by combining the halves.

4. **Total Calculation:**
Summing up all the calculated parallelograms:

• Small Parallelograms: 9
• Larger Parallelograms: 9
• Whole-Structures: 9
• Total = 9 + 9 + 9 = 27

Thus, the total number of parallelograms in the diagram is 27.