Formed thread into cut thread tolerance?

I believe you are talking about dies and taps- which have a sort of inward cut Maltese Cross appearance, or cloverlead appearance in the stock, which is placed in a holder- and the job begun.

In general a female thread is cut with a tap. A male thread is cut with a die.

The third one of the Fates; her name is Atropos.

Nona, Decima and Morta, the goddesses of fate

Atropos