THINK++ — Engineering Visualized

N-Dimensions

Multidimensional Arrays

C++ allows arrays with any number of dimensions. A 3D array can be thought of as a volume or a collection of grids.

3D ARRAY (CUBE)

int cube[3][3][3]; // 27 total elements

Think of it as 3 separate 2D grids (slices), each 3x3 in size.

Initialization (3D)

int arr[2][2][2] = {
  { {1, 2}, {3, 4} }, // Layer 0
  { {5, 6}, {7, 8} }  // Layer 1
};

MEMORY LIMITS

N-dimensional arrays consume memory exponentially. arr[100][100][100] is 1 million integers (≈4MB). Watch out for large dimensions in stack-allocated arrays.

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