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Here are three concepts or structures (other than a matrix) that you can represent using multi-dimensional arrays, along with the number of dimensions the array would have:

1. **3D Graphics or 3D Game Environment**:
    - **Description**: In 3D graphics or game development, you often need to represent objects and their positions in a three-dimensional space. Each point or object can be represented by its coordinates in a 3D space.
    - **Dimensions**: 3 dimensions.

2. **Time-Series Data**:
    - **Description**: Time-series data collected over multiple locations or under various conditions can be represented using multi-dimensional arrays. For example, recording temperature (or any other variable) at multiple times (1st dimension), at different locations (2nd dimension), and under different conditions (3rd dimension).
    - **Dimensions**: 3 dimensions or more, depending on the complexity of the data.

3. **Color Images**:
    - **Description**: A color image can be represented using a 3D array where the first two dimensions correspond to the pixel coordinates, and the third dimension represents the color channels (e.g., RGB - Red, Green, Blue).
    - **Dimensions**: 3 dimensions.

Would you like further details or explanations on any of these concepts?