The New York Stock Exchange played host to Twitters high-profile initial public offering this morning as the company went public and shares began trading on the market. Twitters soaring bird logo was emblazoned across both the outside and the inside of the exchange, and in such context the logo fittingly illustrated the companys hopes for its publicly traded stock. Many were on the floor of the exchange well before the 9:30AM opening bell, and anticipation rose as the market prepared to open. Twitter executives on hand — including CEO Dick Costolo, CFO Mike Gupta, and co-founders Jack Dorsey, Evan Williams, and Biz Stone — surprisingly didnt partake in the ceremonies, instead opting to make their appearance right on the exchange floor.