One is in a critical condition in Waikato Hospital's Intensive Care Unit with neck and shoulder wounds following surgery.
Another is in a stable but serious condition in a hospital ward while the third victim was discharged yesterday.
Mr Patterson said police were still interviewing witnesses and completing their examination of the scene where the attack took place.
Police are also completing forensic analysis of two vehicles linked to the incident and a house on Newton St, where Edwards is understood to have been arrested after the attack without incident.
Edwards was remanded in custody and is to reappear before a community magistrate on November 1 after a psychiatric report has been completed.