Fresh appeals have been issued after a teenager and a young woman were raped in separate incidents.
The first attack was reported at around 11.15pm on Monday July 6.
Officers found an 18-year-old woman in the Limepark Crescent area of Kelty, Fife, and were told she had been attacked shortly before in a car.
Police Scotland said the car is believed to be a dark-coloured Vauxhall Vectra, which was seen in the area of Keltyhill Road just before 11pm that night.
The suspect is described as being a man aged in his late 20s with a slim build and tanned complexion, dark hair and a short dark beard.
Detective Inspector Kelly McEwan said: “We’d like to thank members of the public who have assisted our investigation up to this point and continue to appeal for anyone who was in the area and may have seen something suspicious to please come forward.
“In particular, I would ask motorists and taxi drivers with dash-cams to check their footage for the vehicle in question as this information could prove vital in our inquiries.”
In the other incident, officers received a report of concern for a 20-year-old in Kirk Street, Dundee, at around 11.50pm on Saturday.
The woman, who spoke with a strong Merseyside accent, was found lying in a duvet close to a house party and it was established she had been the victim of a serious sexual assault.
Detective Inspector Marc Lorente of Dundee CID said: “Since this was reported to us we’ve been conducting extensive inquiries and we continue to ask for the public’s help as part of our investigation.
“We have already spoken to a number of witnesses who have come forward and provided us with vital information.
“We are aware that there was a party at a house in Kirk Street late on Saturday evening, with people leaving around the time of the incident.
“We would like to hear from anyone who was there between 10pm and 11.45pm.
“Also, a black Vauxhall Corsa was seen several times in the area of Adamson’s Court between those times.
“Again, we would like to speak to the occupants of this car as potential witnesses.
“We are continuing to conduct inquiries in the immediate area, which will see an increased police presence while we continue our investigation.”