Vodafone NZ provide a faxMail service (with which my Vodafone service has been provisioned):
but this provides only for receiving faxes into a Vodafone mailbox, and then later forwarding them to another fax number by issuing instructions to voiceMail.
To actually receive (or send) faxes on a fax connected to the Vodafone NZ network (eg a laptop) requires an additional mobile fax [dataFax] number (with which my Vodafone service has been provisioned) on the Vodafone NZ network:
(near the end).
(The Vodafone NZ faxMail service seems more primitive than faxMail provided by eg Vodafone Ireland, which allows faxes to be read on their webmail, and we do not seem to have fax messaging via text messaging available as Vodafone UK provides.)