The tower is shaped in the form of mythical poplar tree of life and the bird of happiness, Samruk, has laid the egg on top of it. If you don't know the story, the shape just looks weird. The observation deck is 97 meters above the ground, corresponding to year 1997 when the capital was moved to Astana ("Capital" in Kazakh language). There is a Golden handprint of the President but the highlight defintely is the nice view, because the tower is located at the very heart of the new part of the city. However, the yellow glass makes it impossible to shoot good photos.
By the way little versions of Bayterek you can see throughout the country in almost every town, mostly next to kids playgrounds. An alternative to Bayterek for the view would be the Chinese looking building nearby, where you can eat on the top floor in the Restaurant.