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Asked: May 11, 20262026-05-11T13:22:43+00:00 2026-05-11T13:22:43+00:00

I know how to simulate a 2d array in a linear array using [x

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I know how to simulate a 2d array in a linear array using [x + y * width] as a linear index.

I can extend this to 3d arrays: [x + y * width + z * width * height].

Is there a general formula for N-dimensional array?

I’m looking for a language-agnostic answer.

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  1. 2026-05-11T13:22:43+00:00Added an answer on May 11, 2026 at 1:22 pm

    Sure. Just extending your example gives x + y*width + z*width*height + w*width*height*depth + ...

    In other words, dim1 + dim2*size1 + dim3*size1*size2 + dim4*size1*size2*size3 + ...

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