Ms Rigg last saw her daughter alive in Cheetham Hill.
A CD rom belonging to Maden also contained images depicting abduction, rape and "snuff" movies.
Mr Cole continued: "This material and the subsequent discovery of Tia reveals that this defendant was acting out a long held fascination with rape, torture and abuse of children.
He then calmly dialled 999 and made a chilling confession to the murder. He told an operator: "I've just finished killing her now". When asked why, Maden replied: "Because I felt like it".
Members of Tia's family sat in the public gallery, yards from Maden in the dock as Gordon Nike Air Max 95 Ultra Se Black And Grey
Read the judge's sentencing remarks, and reaction from police here
Tia Rigg's mum: "This nightmare will never end"
Unemployed John Maden, 38,lured Tia Rigg to his home on the pretext of babysitting, but he drugged her and acted out his sick fantasies on the unsuspecting youngster, inflicting a horrific catalogue of sexual injuries before stabbing her and strangling her with a guitar wire.
"The facts reveal clearly features of torture, rape, physical abuse and the ultimate murder of a child.
chilling confession after he murdered Tia Rigg
"He had an extensive library of such materials which included literature dealing with methods of killing."
Just 45 minutes later, Maden called police, with two officers arriving at the address two minutes later. He directed them upstairs.
"It was murder purely for his sexual gratification it had a sexual motive.
"In the year or so prior to April this year, the defendant had developed what can properly be described as an obsessive interest in images and literature relating to paedophilia, rape and torture.
In a spare bedroom, Tia was found lying face up on the floor, naked apart from a pair of socks, and clearly dead.
Cole QC, prosecuting, opened the case.
On a laptop used by Maden, police Nike Air Max 2013 Price
Maden, the brother of Tia's mother, Lynne Rigg, was due to go on trial at Manchester Crown Court for murder today but pleaded guilty instead.
He then called police, appearing "chillingly calm" when he answered the door to officers who raced to the scene.
fantasy" to kill her, the court heard.
On the day of the murder, Maden called his sister at 2.17pm to ask Tia to go to his house.
He was handed a mandatory life sentenceand told he willspend the rest of his life in prison. Mr Justice Keith said: "This is one of those exceptional cases in which the only just punishment requires you to be imprisoned for the rest of your life."
"He re enacted scenes from his collection of pornographic material."
Apervert obsessed with violent child porn and "snuff" videos was jailed for life today after he admitted the torture, rape and murder of his 12 year old niece.
Text files showed stories taken from a 'handbook' relating to snuff movies.
Maden had become obsessed with violent porn he downloaded from the internet, the court heard.
He carried out the attack on the afternoon of April 3 this year at his home in Dalmain Close, Cheetham Hill, Manchester.
found hundreds of extreme images of child porn featuring bondage, rape, sado masochism and violent sex acts.
"In general terms this murder was premeditated," he said.
Tia arrived at the defendant's house just before 3pm, with Maden then free to act out his "sexual Air Max 42
Full transcript of the 999 call by John Maden
From his mobile phone, police recovered folders of rape Air Max 95 Knit and torture entitled "snuff" and "snuff stories" and "brutal rape".
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