On the vault of the third section of the staircase we find, various hexagonal designs, the planctary gods and their domains arranged according to the hermetic circle. The cycle begins in the triangular area at the base of the vault with a representation of Saturn, god of time, devouring a baby while he wields a sickle. Wound around him is a serpent which bites its tail, symbol of fleeting time. Alongside are the Zodiac signs of Acquarius and Capricorn. In the circular area below little remains of the allegorical representation of a nude girl holding a papal crown, a cardinal's hat, and a baron's crown. To the left we find the symbols of the Vitelli and Rossi families - the crescent and the lion's head. The series representig the planets continues with Jupiter seated on an eagle holding a sceptre and lightning flashes in his hand, and alongside him the signs of Sagitarius and the Fish. The next hexagon contains Mars, the god of war, sword in hand, seated on a wolf (the medieval way of representing him). Then the Ram and what was once Scorpion.  Then we find Rennaissance style Apollo playing a lute with a raven at his side and the lion's head. Then in the successive hexagon Venus on a bull turning towards Cupid and below what remains of the zodiac sign of the scale. Next Mercury with his head in his helmut and winged feet playing the lyre and at his sides the Twins and the Virgin, this latter depicted as a girl with unicorn, a symbol of purity used by Pope Paul III Farnese whom Alessandro Vitelli served from 1538 on. The planet series concludes with the Moon depicted as Diane crowning a bull with a laurel branch and Cancer alongside her. The mural paintings of the entire staircase constitute an elaborate symbolic undertaking by Cola dell'Amatrice and his assistants. Its forebearer could be the Horoscope on the ceiling of the Galatea Hall in the Farnesina mansion painted with similar subjects by Baldassarre Peruzzi. However, according to La Teza, the artist's more archaic style in the Vitelli mansion series also drew its inspiration from the wooden ceiling in the third hall of Palazzo dei Penitenzieri at Rome done by Pinturicchio in 1490.