Watch Hostage Taking in Mall at Nairobi, Kenya RARE Footage FREE

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Twenty four hours. Fifty nine dead. About 30 hostages still inside.

Those are the grim numbers a day after attackers stormed an upscale Nairobi mall, spraying bullets and holding shoppers captive.

By noon Sunday, as grim-faced Kenyan soldiers warily searched the five-story building -- and as al-Shabaab maintained its defiant stance -- the siege was no closer to a resolution.

Kenyan government and Western diplomatic sources said al Shabaab militants were holding about 30 hostages inside the shopping center.

Officials believe about 10 to 15 gunmen are involved, State House spokesman Manoah Esipisu said Sunday.

"We know there are now isolated somewhere within the building," he told CNN's Zain Verjee.

The attack has already left 59 people dead, government minister Joseph Ole Lenku said Sunday. Another 165 were hospitalized.

It was the deadliest terror attack in the nation since al Qaeda blew up the U.S. Embassy in 1998, killing more than 200 people.

The attack Saturday targeted a popular weekend meeting spot. Kenyans and expatriates gather at the luxurious Westgate mall on weekends to drink lattes, catch a movie or browse through the more than 80 stores.