Looking for a verb that means division into multiple branches

There's the simple intransitive multi-word verb fan out.

  • The graphs fanned out beyond x = 1·6

fan out (from some place)

to spread outward from a particular area.

  • The paths seem to fan out from the wide trail that starts at the house.

[McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002]

Diverge is perhaps a little more formal, but does not really generate the same image.

A few have felt the need to introduce 'polyfurcate', but thankfully dictionaries have ignored this.


One option would be the word fork

a division into branches or the place where something divides into branches

This can also be used as a verb, so you could say

Over half the range all curves are identical, but starting from 0, each curve forks.