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It was not clear whether the escalation signalled a new phase in the conflict. Israel has held back from all-out urban warfare in the narrow alleyways of Gaza's cities, where Hamas militants are more familiar with the lay of the land.
Black smoke billowed over Gaza City, terrifying civilians who said that they had "nowhere left to hide" from the relentless shelling.
"I am telling you that Gaza is on fire, everything is under attack. We cannot begin to answer all the calls for help, it is desperate. We cannot reach the people, everyone is trapped and we do not know how to help them," said Doctor Moussa El Haddad at Shifa Hospital.
Maha El-Sheiky, 36, said that she fled her home in the western suburbs of Gaza City two days ago, moving her family into a school in the centre of the city. "We thought it would be safer here. But now there is shelling everywhere. It is schools and mosques and hospitals. We don’t know what will be next," she said. "We are hiding, it is in God’s hands."
There were reports that the al-Quds hospital in the Tal El Hawa district, Gaza's second-largest, had been shelled, while more than 500 patients were being treated inside.
An explosion also blasted a tower block that houses the offices of Reuters and several other media organisations, injuring a journalist working for the Abu Dhabi television channel.
Reuters journalists working at the time said it appeared that the southern side of the 13th floor of the Al-Shurouq Tower in the city centre had been struck by an Israeli missile or shell. Reuters evacuated its bureau.
Several organisations, including the International Committee of the Red Cross and Human Rights Watch, said that they were "certain" that Israel was using white phosphorus shells in Gaza. Human rights workers said that the use of phosphorus in the densely populated Gaza City could constitute a war crime.
Israel launched the offensive on December 27 in an effort to stop militant rocket fire from Gaza that has terrorised hundreds of thousands of Israelis. It says that it will press ahead until it receives guarantees of a complete halt to rocket fire and an end to weapons smuggling into Gaza from neighbouring Egypt.
The attack on the UN compound prompted international protests.
Lord Malloch-Brown, the Foreign Office Minister, said that there was "absolutely no excuse" for the shelling, which, he said, reminded him of a similar attack on a UN observation post during the Israeli offensive into Lebanon in 2006.
He told peers: "With over 1,000 people now dead in Gaza, many of them civilians and children, the urgent need for a diplomatic solution is clear. A robust and immediate ceasefire is the only way the current situation in Gaza can be addressed."
William Hague, the Shadow Foreign Secretary, said: "The shelling of the UN Headquarters in Gaza is unacceptable. This undercuts efforts to bring relief to the people of Gaza and is against Israel’s own interests. The UNWRA provides food and aid to over a million Palestinian refugees in Gaza.
"The suspension of its operations will bring more misery to civilians. We desperately need a ceasefire by both sides, not further escalation. Both sides must meet their obligations to protect aid workers at all times."
The conflict was also discussed at talks between Gordon Brown and Angela Merkel, the German Chancellor, in Berlin. Aides said that Mr Brown was expected to speak to Mr Ban later today.
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