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In 2-dimensions, any enclosed space can be approximately represented with line-segments composed of the space between 2 points.

In 3-dimensions, any enclosed space can be approximately represented with triangles composed of the space between 3 points.

When working in 4-dimensions, what shape can serve the same role for approximately enclosing a space?

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Nosajimiki
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    There is a general family of convex shapes. The convex hull of $n+1$ points can give us an $n$-dimensional "volume" called an $n$-simplex. – hardmath Oct 19 '21 at 15:37

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