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

Famous quotes containing the word cutting:

    “For universal love is as special an aspect as carnal love or any of the other kinds: all forms of mental and spiritual activity must be practiced and encouraged equally if the whole affair is to prosper. There is no cutting corners where the life of the soul is concerned....”
    —John Ashbery (b. 1927)