I’ve thought about 6 dimensional space in terms of scale. Imagine individual atoms or molecules. They have length, width, height. So a molecule is 3 dimensional. If you zoom out to human scale – a molecule is essentially 0 dimensions. It’s a.point with (very limited) length, width, height. The scale is so different – that a molecules dimensions basically don’t exist.
So molecular scale is 3 dimensional, human scale is 3 dimensional. Boom, 6 total dimensions. The molecular scale dimensions exist inside our 3D space. The smaller dimensions are packed so tightly they cannot be viewed from the larger scale.
Extend it to cosmic scales – you have 9 dimensions + time.
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