For safety reasons, investigators are still unable to begin sifting through the rubble inside the building in Paris, the official said.
Firefighters are still examining damage and shoring up the structure after Monday's fire collapsed the cathedral's spire and destroyed the roof.
President Emmanuel Macron has vowed to rebuild the damaged Cathedral within five years and has said it will be rebuilt "even more beautifully" than before.
Notre Dame is a cathedral that has undergone multiple expansions and restorations over the centuries, and Miousse's recreation is modeled as closely as possible to the structure as it was at the time-at least, for the most part.
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Police have also closed off a large part of the island which the cathedral sits on, citing "important risks" of collapse and falling objects. "The worst has been avoided".
The fire at the Notre Dame has prompted an outpouring of support from people across the world.
Remarkably, no one was killed in the blaze, which occurred during a Mass, after firefighters and church officials speedily evacuated everyone inside.
Among others honoured was Myriam Chudzinski, one of the first firefighters to reach the roof as the blaze raged.
Firefighters battle to save Notre-Dame from devastating fire
A more serious loss than the few remaining stained-glass windows, according to Cohen, is the 13th century timber roof that burned. Deputy Paris mayor Emmanuel Gregoire told the channel that workers were scrambling "to save all the artworks that can be saved".
Loaded with gear, they climbed hundreds of steps up the cathedral's narrow spiral staircase to the top of one of the two towers.
In a letter sent on Thursday to Polish bishops, they said "We as Jews know what it means to see your house of worship burning". "It was from upstairs that you understood that it was really dramatic".
The rabbis went on to say that "these experiences have made us very sensitive and aware of the pain and horror of the destruction of any house of worship".
Investigators so far believe the fire was accidental, and are questioning both cathedral staff and workers who were carrying out renovations.
The Paris prosecutors' office ruled out arson and possible terror-related motives - it is now being treated as an accident.
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It comes after the Archbishop of Canterbury, Justin Welby, asked cathedrals and churches across England to toll their bells for seven minutes as a mark of respect after the 850-year-old Paris cathedral was ravaged by a blaze. "It was spreading quickly".