Torus - Cutting A Torus

Cutting A Torus

A standard torus (specifically, a ring torus) can be cut with n planes into at most


\frac16
(n^3 + 3n^2 + 8n)
parts.

The initial terms of this sequence for n starting from 1 are:

2, 6, 13, 24, 40, … (sequence A003600 in OEIS).

Read more about this topic:  Torus

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