Turin, Pisa and mathematics

What is the connection between the Mole Antonelliana, the great 19th-century landmark on the Turin skyline, and Leonardo da Pisa, born at the end of the 12th century and hailed as one of the greatest mathematicians the west has ever known?

The Mole was begun in 1863 by the architect Alessandro Antonelli. He had been commissioned to build a synagogue by the city’s Jewish community, only a few months after King Vittorio Emanuele had granted freedom of worship to Italian Jews. Antonelli got carried away and instead of the modest structure he had been asked for, he produced something 167m high. The Jewis congregation found an alternative site and the Mole was turned into a monument celebrating the unification of Italy. It is now the Cinema Museum. In 1998 its exterior became host to one variation of Mario Merz’s public light installation known as Flight of Numbers. Merz (1925–2003) was a well-known exponent of the Arte Povera movement. A great part of his oeuvre is dedicated to the numerical sequence known as the Fibonacci sequence, whereby each number is the sum of the previous two. It has been observed to occur very frequently in nature, for instance in the typical number of petals of a flower. The sequence is named after the great north Italian mathematician Leonardo Fibonacci, or Leonardo da Pisa, who set himself the following problem: How many pairs of rabbits will be born in one year, beginning with a single pair, if each pair gives birth to a new pair every month and that new pair begins reproducing from the second month on? The Mole Antonelliana is not the only building to be graced with a Flight of Numbers. There is also one high on a smokestack in Finland, in the city of Turku.

Turin and the Mole Antonelliana are covered in Blue Guide Northern Italy and Blue Guide Concise Italy.

Ideal cities are all around us. It’s simply a matter of perspective.

Last time I bothered to update my mobile phone software, I found, included among the extra features, an option to take panorama shots with the phone’s camera. I experimented with this as I was walking to work, and came up with street views that instantly reminded me of Luciano Laurana. Here was my home town, suddenly opened up and widened out. Its streets had become ample and uncluttered, converging on a single vanishing point, just as if a Renaissance draughtsman had planned them. Its buildings looked noble and protective.

I have never been to Urbino, sadly. But I will go there one day. As i write this, I am preparing the 2nd edition of Blue Guide The Marche & San Marino for publication. And when I get to Urbino, the first thing I shall do is go to see the Città Ideale, in the Galleria Nazionale. This Utopian scene, unpeopled and unpigeoned, is thought to have been one of three panels commissioned by Federico da Montefeltro, the great one-eyed warrior-prince.

Ideal City, attributed to Luciano Laurana (d.1479)

An hour or so after arriving in the office, on Facebook, I saw that the Patrimoni dell’Umanità d’Italia had posted a photograph of Florence. Perhaps it was taken with the very same telephone that I have, updated to the new software.

Florence idealized. Photo © Patrimoni d’Umanità d’Italia

Of course, we all know that the Renaissance began in Florence, but until today I had never thought of its street layout as being remotely “ideal”. How wrong I was! All you need is a panoramic camera app and suddenly the Renaissance is all around you, projecting onto your retina a world where all is order, where chaos is banished, where spaces are uncluttered, harmoniously arranged, affording wide vistas of tranquil geometry.

Random Musings on Pontormo and Vermeer

What does the great Dutch painter Vermeer (1632–75) have in common with Pontormo, the Florentine Mannerist (1494–1557)? At first glance, nothing. They were born in different parts of Europe almost a century and a half apart. But there here are two paintings, one by each artist, and whenever I see one of them, I’m always reminded of the other.

The first is Pontormo’s Visitation, painted c. 1530 for the church of St Michael at Carignano, near Florence

How can a 15th-century Mannerist, painting in an age and a city where princely families and the Catholic church commissioned great works of art, possibly have produced anything faintly similar to the output of a bourgeois, struggling Dutch painter whose patrons–the few he had–were mere artesans?

The other is Vermeer’s Young Woman with a Water Pitcher (1662), in New York’s Metropolitan Museum

What is it that makes these two works seem alike–at least to me? Is it the bold use of colour, for which Pontormo is so famous. Because Vermeer’s use of colour is extraordinary too. That great slab of lapis-blue skirt. The way the ruddy hues of the carpet are reflected in the jug and silver dish. Is it the crisp folds of the drapery and the shadows they cast? Is it the faint sfumato that softens the outlines of the faces? Is it the peculiar, detached absorption with which the women are going about their tasks: the one a housewife, immersed in domestic chores; the others biblical characters, playing the ineluctable roles they have been cast?  Is it the economy with which each image reduces itself to the essentials, with only the merest incidental detail (the man in the background of the Pontormo picture; the silk thread hanging out of the trinket box in the Vermeer)? Or is it the way the light falls upon the women’s skin, illuminating it, making it gleam (the housewife’s right arm as she opens the casement; the hands of the Virgin and St Elizabeth)? Or is it perhaps the way that the human figures seem like props while the stage sets they occupy are three-dimensional?

Both these paintings were intended for secluded contemplation: one in a church, the other in a private dwelling. I love them both.

Mithraism: a Roman Mystery Religion

The religions practised in the later Roman empire were many and various. There was the official state cult, of course, centred around the great triad of Jupiter, Juno and Minerva. But many other cults from different parts of the empire also flourished. There were the Egyptian religions, for example those of Serapis and Isis. There was the cult of Cybele, the Great Mother, which originated in Asia Minor. There were Jewish communities of traders and merchants. And there were Christians.

Relief of Mithras slaying the bull from the Mithraic shrine at Londinium. Displayed in the Museum of London.

The cult which most resembled Christianity and which appears to have represented a serious challenge to it, was that of Mithras, which traces its origins to Persia. Like the cult of Isis and also that of Jesus Christ, Mithraism was a “mystery” religion, in other words a faith that is concerned primarily with a realm that transcends the worldly sphere and which seeks to show initiates how to attain admittance to it. Mystery cults focus on truths that are inexplicable by man’s experience or understanding, and promise some kind of redemption or rebirth. Mithraism was particularly concerned with ideas of enlightenment, of moving from a realm of darkness to a relam of light. Some 500 sanctuaries are known, 35 of them in Rome itself, and 18 in its port city of Ostia. They were always underground, in the basements of buildings or in caves. At the eastern end of the sanctuary, the god was shown with attendant deities with torches. This represented the light towards which members were moving. Mithraism was especially popular among soldiers, which is why we find Mithraea in far-flung outposts such as Londinium in Britannia and Aquincum in Pannonia. Slaves and ex-slaves were also attracted to the cult, although women were excluded from it. One of the cult’s attractions was its graded hierarchy. Initiates moved upwards through a series of ranks just as a soldier might do, or a slave who was working towards freedom. The highest grade, a ‘Father’, was probably reserved for a leader of a congregation, and it was an important enough honour to be recorded on gravestones.

A Mithraean sanctuary typically held a sculpture or relief of Mithras shown seated astride a great bull, holding back the animal’s head and slitting its throat in sacrifice. The sacrifice of a bull is crucial to the cult—it is usually seen as a force Mithras must conquer to release the fertility of the earth. The spirit of the bull, it was believed, was released by its death, and its blood falling on the ground brought regeneration and renewal. Animals join in, as if working against Mithras. A serpent and a dog suck the wound, perhaps to prevent the blood nourishing the earth. A scorpion is often shown attacking the bull’s testicles as if to destroy its fertility. The cult draws on ancient Eastern parallels, including Zoroastrianism. Mithras himself is typically depicted wearing a Phrygian cap (from Phrygia in Asia Minor), which was used by the Romans as a recognizable symbol of the East.

There seems to have been some competition between Mithraism and Christianity over converts, but as Christianity grew more powerful it moved to obliterate Mithraism, and overtook it altogether. By the end of the 4th century, after the edicts of the emperor Theodosius, Christianity was the only mystery religion that survived. Its spread and popularity was due in large part to the fact of its wide appeal for women.

Text adapted from Sites of Antiquity: 50 Sites that Explain the Classical World © Blue Guides.

The Amphitheatre of Londinium

That the Roman city of Londinium boasted an amphitheatre was never subject of dispute. Its precise location, however, was unknown until comparatively recently. Excavations close to the old Roman road now known as Watling Street, during the construction of the Guildhall Art Gallery in 1988, revealed its stone foundations. Those are now preserved and open to the public, in situ where they were found, under the gallery.

The amphitheatre was built around AD 70, the same year that the Colosseum was begun in Rome. It was, understandably, considerably smaller, with seating for around 6,000 spectators as opposed to the Colosseum’s 75,000–although when you consider that 6,000 people represented about a quarter of the entire population of the city, it must have seemed a giant building indeed. Most of it was made of wood. Even in the following century, when it was improved and given stone entranceways, the tiers of seats would still have been of timber. The surviving remains are scanty: an illuminated backdrop showing scenes of raked seating and combatants in the arena gives a sense of the original dimensions of the building. In front of it is the surviving section of the eastern entrance to the arena, with side chambers that were perhaps guards’ houses or pens for wild animals. What is most remarkable are the preserved sections of timber drainage channel, complete with a silt sump to collect debris and prevent the drain from getting blocked. It operated by natural gravity, to flood the arena for mock sea battles, and to drain it again.

In common with most of the public structures of Roman Britain, the amphitheatre fell out of use in the 4th century, when the land fell prey to Scots, Picts and Saxons and when the emperors, harried by problems closer to home, stopped sending troops to defend this far-flung island. By the mid-fifth century, Londinium was an abandoned wasteland.