Government agents initiated emergency procedures to trace the house in West Yorkshire and arrest the dad after he attempted to share the shocking images with strangers in an internet chatroom.
Leeds Crown Court heard how the dad abused the child at their home in Pontefract while his partner, the child's mother, was at hospital visiting a sick relative.
The dad, aged in his 20s, installed instant messaging app Wickr and a browser which enabled him to access the dark web before carrying out the offending.
"He took that opportunity to go into (the child's) bedroom, ensure she was naked, and then prepare to broadcast her abuse, in order to obtain other pictures from other abusers.
"He entered a chatroom entitled '#daughter' with a group display name of 'dad page'.
"The name of the chatroom is an explicit reference to the subject matter discussed within it and the username the defendant adopted - daddydau22 - is equally explicit as to his status."
The defendant messaged someone he believed to be a paedophile.
They discussed the child's age and exchanging sexually explicit images of children.
The dad than transmitted a 40-second video of the child sitting on her bed in which he exposed her genital area.
"The defendant then waited for the other user to reciprocate.
"He sent repeated messages over several minutes: 'How long"; "Please hurry: "Have you gone?".
"Mercifully for (the child), the other user was in fact a government agent.
"Having stalled the defendant for a while and broken off contact, he initiated emergency contact procedures to identify the defendant's whereabouts."
West Yorkshire Police were contacted and the dad was arrested at the property.
He initially denied any offending when interviewed by police then refused to comment when confronted with evidence.
He pleaded guilty to sexual assault of a child under the age of 13, three counts of taking indecent photographs of a child and three of distributing indecent photographs of a child.
The defendant was jailed for four and a half years.
Paedophile dad live-streamed video as he sexually abused two-year-old daughter at family home in Yorkshire
Police swooped on a family home after a dad live-streamed a video of himself sexually abusing his two-year-old daughter.
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