In the late afternoons and early evenings, the crowd is easily over 1 million. That many people simply can't fit in Independence Square. The demonstration spills in to the streets for several blocks.
The objective of the demonstrators is to win the affection of the armed agents of the government. Most of the Kiev police have now pledged their support for the people.
The Western media tends to place a lot of emphasis on official institutions in Ukraine such as its supreme court, the central election commission, and the parliament. In reality, the people of Ukraine now control their destiny.