They changed many things in the final form of the building, which was intended to be simpler with no gothic cusps and no dome, just a small, and high, pyramidal roof.
Maybe Diotisalvi wanted to replicate his previous work of the church of Holy Sepulchre in Pisa, 40 years before.
The inside was meant to resemble the Holy Sepulchre in Jerusalem, while the outside was meant to resemble the Dome of the Rock, also in Jerusalem, wrongly called for a long time by Europeans "Mosque of Omar", because at that time it was believed to be the Temple of Solomon.
We can cite the one in Bologna, Italy, inside the complex of Santo Stefano, or the one in Cambridge, or the Temple Church in London, United Kingdom.
The bell tower of the church of St Nicholas has an octagonal shape and a pyramidal roof, as all the other buildings by Diotisalvi.
Recent studies attribute by analogies also the famous Leaning Tower of Pisa (1173) to magister Diotisalvi.