Police said that surveillance video from the home in the 9000 block of Whitefield Avenue shows the man trespassing between 2:15 a.m. and 5:30 a.m. on September 1.
Video footage shows the man swimming in the pool before hopping into the hot tub, where he became "infatuated" with a rubber duck and was seen "intensely interacting" with the toy, according to police.
"While in the hot tub, the man is caught on video becoming infatuated with a rubber duck. The video shows the man spending more than 10 minutes intensely interacting with the duck," police wrote.
Police did not go into detail about the nature of the acts the infatuated man performed on the duck, although a grainy, black-and-white still of the security footage appears to show the suspect holding the duck near his face, though it is unclear exactly what he is doing.
The man then left the home on a bicycle.
As the man was leaving, he took several luxury beach towels with him, valued at a total of $1,200.
Police said the six towels valued at $200 each were seen in the basket under the bike on surveillance video.
Anyone who recognizes the man in the photos released to the public or has any information about the case is urged to contact police.