What promted Brunelleschi's Dome?

In my view, Brunelleschi's creativity prompted the construction of the famous Florence Cathedral dome. Brunelleschi was a brilliant sculptor, as seen in his Jesus statues, and a fantastic architect. This was because he thought outside the box, which no one at that time had ever done before because their world was cut off from imagination, because the church restricted everything. But now that the Renaissance was here, the church did not play as big of a part in daily life. Brunelleschi was creative in thinking that he could build a dome with no scaffolding and no cement. But now he needed to prove to his commissioners that his logic was sound, or else they would not hire him for the job. He failed at first, but after intense study he came back, this time with a creative trick up his sleeve. He thought so creatively that he connected an egg, with the idea of the dome and asked his viewers to stand an egg on it's bottom. This, of course, didn't work, but then he asked them to lightly tap the egg, and break it's bottom, so it was flat. When they stood the egg up again, it worked. So amazed were Brunelleschi's commissioners that they grant Brunelleschi immediate control over the construction of the dome. They were surprised at the creativity at Brunelleschi's idea at using an egg, and realised that Brunelleschi wasn't a complete nutter. All in all, Brunelleschi was an incredibly successful man. He used a creative method for the dome, opened the eyes of people to the world of thinking outside the box, and he succeeded in the construction of the dome. All because of his creative leadership.