4 Stages of Gothic—Architecture

[This is Part 2; the other 3 parts address Gothic Culture & History, the Gothic Revival, and Fiction.]

Giorgio Vasari (1511-1574), artist and famous for his work on the lives of artists, once wrote:

Then arose new architects who after the manner of their barbarous nations erected buildings in that style which we call Gothic.

Gothic Cathedral of Chartres

John Evelyn (1620-1706), a prolific and opinionated English gardener, said of the style:

The ancient Greek and Roman architecture answered all the perfections required in a faultless and accomplished building ... [but Goths] ... introduced in their stead a certain fantastical and licentious manner of building, which we have since call'd Modern (or Gothic rather) congestions of heavy, dark, melancholy, monkish piles, without any just proportion, use or beauty, compar'd with the truly Antient. [A Parallel of the Ancient Architecture with the Modern, 1664]

Because the Goths had conquered Rome, they and their cousins the Vandals (whose name became a noun we still use) were reviled by those who revered Classical Greco-Roman culture and art. Later generations (like Vasari's and Evelyn's) used "Gothic" as pejorative. For modern art historians, however, Gothic architecture is less "barbarous" than the earlier style which we call "Romanesque."

Romanesque Cathedral, Lisbon

Romanesque is sometimes called Norman architecture: William of Normandy left England dotted with massive stone churches and castles that dominated—both architecturally and psychologically—the small neighboring wooden structures of the English people whom he had just conquered. The size of the buildings required a great deal of structural support. Barrel vaulting and semi-circular windows required thick walls and clustered columns to fight gravity as the weight of the arch pushed down and outward.

Gothic architecture was an evolutionary change created by the adoption of a few simple techniques. The pointed arch transferred the weight of the stonework down the sides of the framework, rather than pushing the supports outward. This allowed walls to be thinner. External supports called "flying buttresses" supported the walls and roof further, allowing larger windows. Both features let the architects build upward, making towers and roofs that swept heavenward. The larger windows brought more light inside, which was seen as a way to glorify God's splendor. This is all considered an improvement in sophistication—to those of us not living in the 17th century, that is.

Any historical Goths shown a picture of Gothic architecture would not understand why it was named after their culture. The use of the term "Gothic" gets even more removed from reality, however, a generation after John Evelyn spoke so vehemently against the style.

[to be continued]

Arian Christianity

In the theological free-for-all of the first few centuries after Jesus of Nazareth, different theories as to the nature of God and the divinity of Jesus abounded. Arianism, first mentioned here, was a version of Christianity begun by Arius of Alexandria (c.250-336)

Arius of Alexandria

Bishop Theophilus of Antioch (d.c.184 CE) was the first (that we know of; who knows how many early writings have been lost?) to present the concept of the Christian God as a Trinity, referring to "God, his Word (Logos) and his Wisdom (Sophia)"; this was in the Apologia ad Autolycum (Apology to Autolycus), a defense of Christianity written to a pagan friend.

Tertullian (c.160-c.225), sometimes called the "father of Latin Christianity" because of the enormous body of writings he left behind, defended the Trinity as Father, Son and Holy Ghost in his book Adversus Praxean (Against Praxeas). His purpose was to put down the view of Praxeas that, if Christianity were to be monotheistic, then Jesus and the holy Spirit could not be thought of as separate entities. Jesus must have been God incarnate, not a distinct "son of God" who was his own individual.

But Tertullian and others found multiple references to threes in the Old Testament, and they put these forth as prefigurations of the Trinity as it was revealed in the New Testament. Trinitarian Christology was on its way to becoming official doctrine.

Then Arius stepped forward and pointed to the Gospel of John, which read: “You heard me say, ‘I am going away and I am coming back to you.’ If you loved me, you would be glad that I am going to the Father, for the Father is greater than I." (John 14:28) It was clear to Arius that Jesus was subordinate to God in some way, and the Trinitarian view was wrong. Also, if the Son was begotten, then he had a point of origin, as opposed to the Father who always existed.

Many people got involved in the controversy: Origen, Eusebius, Lucian of Antioch, Alexander of Constantinople, Alexander of Alexandria, Socrates of Constantinople, Epiphanius of Salamis. Everyone who was anyone weighed in on just what the Trinity was. Then Emperor Constantine decided he needed clarification. He had legalized Christianity in 313 through the Edict of Milan, and he wanted to make sure Christianity didn't generate controversy. In 325 he called the first Council of Nicaea to resolve the growing issue of Arianism.

Icon of the Council of Nicaea

For two months, the two sides argued, each finding scriptural support. Supposedly, things got so heated at one point that Nicholas of Myra* slapped Arius' face. Constantine pushed the majority to create a statement; this became the Nicene Creed, which in Latin has the phrase

genitum non factum, consubstantialem Patri (begotten, not made, one in being with the Father)

The Emperor, in order to keep things simple, outlawed Arianism and insisted that all his works be burned. Arius was exiled. His ideas lived on under his name, however, especially among the Goths, until the 7th century. His ideas also lived on in the Emperor's son, Constantius II, who ruled after Constantine and was friendly to Arianism, even being baptized on his death-bed by a Semi-Arian bishop!

*Who would some day be known as St. Nicholas; yes, that St. Nicholas.

4 Stages of Gothic—History & Culture

[This is Part 1; the other 3 parts address Gothic Architecture, the Gothic Revival, and Fiction.]

From the Middle Ages until 1974, the Kings of Sweden claimed the title Rex Sweorum et Gothorum (King of Swedes and Goths). This was a very old title, connoting not control over the subculture begun in 1980s England, but the rule over a people that have long since been diluted from the European scene.

Current belief is that the various groups that are collectively (and perhaps erroneously) called "Goths" in classical and early medieval texts probably sprang from a single ethnic group that existed in the first millennium BCE. The word from which their name comes is related to the Geats of Beowulf fame, to Götaland and the island Gotland in southern Sweden, and of course lends itself to the tribes that were instrumental in the Fall of Rome: the Ostrogoths and Visigoths. Various sources, for instance the history Getica by the 6th century Roman Jordanes, tells us that Goths left Scandinavia in waves due to overcrowding and settled in various parts of eastern Europe. Eventually, they moved westward, attacking Byzantium and migrating as far as Crete and Cyprus. An attempt in 269CE to invade Italy was defeated by the Roman army, with heavy casualties on both sides. Two centuries later, however, the Goths would succeed in taking Rome.

The Goths were willing to absorb ideas from people they met. Their art was influenced by Greek and Roman styles. In turn, their methods of embedding gems and colored glass into objects made of gold was adopted by others and used for centuries.

Gothic alphabet and number symbols.

One idea they absorbed was Christianity. Bishop Wulfila (c.310-383) was a Greek-Goth Christian who fled with his followers to northern Bulgaria to escape persecution. There he developed the Gothic alphabet so that he could translate the Bible into the Gothic language. Although he managed to convert many Goths to Christianity, it was Arian Christianity. Arianism had been declared heretical, so when Arian Goths met other Christian groups, they were not always welcomed with open arms. In fact, some modern scholars believe Romans felt more threatened by the Arianism of the Goths than by the political changes that would result from conquest. As for Wulfila's alphabet and Bible: we have very few examples of Gothic writing. It is one of the earliest Germanic languages recorded, but it has completely died out and no modern languages are descended from it.

Although the Goths died out, however, their name endured.

Augustine of Hippo

Today is the feast day of Augustine of Hippo (354-28 August 430). He was born into a noble family in Thagaste, in what is now Algeria. We know a great deal about Augustine from St. Possidius, who was his disciple, friend and biographer, and from Augustine's own writing. His life was a journey through an early history of pagan and Christian philosophy—philosophy whose later form he shaped significantly.

A stamp commemorating his origin.

According to Augustine's biographical Confessions, while his mother (later, St. Monica) tried to raise him in the Christian faith, his father was an idolater who recognized his son's intelligence and spared no expense to make him a scholar. He praises the providence that helped him to be educated, despite his father's materialistic aims for him.

Before he was baptized a Christian, he dabbled in many other beliefs, such as the neo-Platonism of Plotinus. Before that he was influenced by Manichaeism, a major rival to Christianity for centuries and very popular among soldiers. Discussing the beliefs of Manichees is too complex to do here, but one thing that Augustine objected to when he switched to Christianity: the Manichaeistic view that knowledge was the key to salvation. He realized that knowledge alone did not lead him to fulfillment as a Christian.

His writings ranged over a wide area: he was anti-abortion, but agreed that the loss of an "unformed" fetus mentioned in Exodus 21:22-23 did not qualify as an abortion, since there was no evidence that a soul had entered the fetus yet.* He rejected astrology. He felt that the seven-week Creation in Genesis was not to be taken literally; God created all things at once. He believed in "just wars" instead of total Christian pacifism. He explained Original Sin not as carnal knowledge (which was a Manichaeistic view) but as either sheer foolishness followed by pride and disobedience to God, or as pride first because of their failure to accept God's hierarchy of things in the world. Although some Christian scholars rejected Jewish texts, Augustine pointed out that they were chosen by God as a special people, and should be allowed to co-exist with Christians; the Jews would ultimately be converted.

His numerous letters and sermons formed the basis for the growing religion. Much of his thought has remained the foundation of Christian theology through the present day.

*Note that these verses have been scrutinized carefully in recent times, and in some cases altered in translation to read differently.

Patent Law

With the world of technology enjoying heated debate over the Apple vs. Samsung patent ruling, I thought it would be interesting to look at the history of patents.

A 1381 letter patent for transfer of property, with king's seal.

According to American classical scholar Charles Anthon (1797-1867), the first known patent was granted in 500BCE in Sybaris in southern Italy. He tells us:

encouragement was held out to all who should discover any new refinement in luxury, the profits arising from which were secured to the inventor by patent for the space of a year. [Classical Dictionary, 1841]

In medieval Europe, the phrase "letter(s) patent" came into use to distinguish the decree from a "charter." The charter generally declared a law or right that was granted to a family or institution in perpetuity. The letter(s) patent declared a right to an individual and was of a finite duration. The letter patent was sent open, so that all could see it and be aware of the legal action it portended; this was distinct from "letters close," a private letter sent from a royal personage or from the chancery.

Letters patent were very specific, and the king was willing to grant them because he usually saw benefit from them. So, in 1331, Edward III grants a patent to John Kempe, a Flemish weaver, as an inducement for skilled foreign labor to settle in England and instruct the English in advanced textile-related techniques. This, of course, would greatly benefit the economy of England in the future. Note that this was not a patent (in the current sense) for protection on an invention; it was a letter of "protection" to allow a foreign worker to ply his trade without threat from rival local workers.

The idea of a "patent" in the modern sense—the right to use your own invention in public without fear that someone would copy it and benefit from it—comes a little later. In 1421, Florentine architect Filippo Brunelleschi (1377-1446) received a three-year patent granting him exclusivity on his invention: a barge with a hoisting device to transport slabs of marble. A generation later, in 1449, Henry VI of England granted what is considered the first true English patent to John of Utynam for his method of making colored glass. John, a Flanders native like Kempe, got 20 years of exclusive benefit for his methods; his first commission was to make windows for Eton College.

In 1474, Venice declared that any new inventions must be presented to the public so that the inventor could be granted the right to prevent their theft by others. This is considered the beginning of the modern approach to patents.

The Tun

Current robes, Mayor of London.

Henry le Waleis (?-c.1302) was a prominent citizen of London who served as alderman in two different wards, was elected sheriff in 1270, and became mayor in 1273. Law enforcement seems to have been a serious consideration of his during his time in public office: in 1270 as sheriff he erected a new pillory for bakers who tried to cheat customers by selling underweight loaves of bread.

Waleis had several butcher and fishmonger stalls removed to make a better passageway for the king when he traveled in and out of London. These merchants were upset, and challenged the change with the former mayor, Walter Hervey, on their side. But when Hervey had strong words with Waleis, Waleis had Hervey arrested and imprisoned; he was tried and demoted from his position as alderman. To be fair, Waleis did have new buildings constructed in 1282 in a different part of London for the butchers and fishmongers.

In 1283, in the Cornhill area of London, he built a prison for the temporary incarceration of "night-walkers." Night-walkers were people found wandering the city after curfew. Night-watchmen would patrol the city, checking to make sure you had legitimate reasons for being outside at night. A servant who carried a message from his employer giving a reason for travel, and who carried a light (to prove he was not hiding his actions), would be allowed to go on his way. Someone with no light could be deemed "suspicious." Transgressors were held for the night and turned over to the mayor and aldermen in the morning. It was called "The Tun" because it resembled a tun or cask used for wine, stood on end and crenelated at the top..

Strangers and suspicious characters were an important issue for the mayor. Waleis made sure that the city gates had sergeants who were "fluent of speech" in order to question strangers to the city. He also arranged that parish churches would coordinate so that their bells rang curfew at the same time, whereupon gates and taverns were all to close.

An Ordinance of the city directed that bakers and millers found cheating their customers would be drawn (dragged) to the Tun. Waleis provided a wooden hurdle to which the malefactor would be strapped and then drawn through the streets for a touch of public humiliation before his incarceration. Also, if a priest were found with a woman, he would be drawn to the Tun with minstrels playing in order to draw even more attention to his misbehavior. (This practice was eventually eliminated. The Church convinced the King that the laity should not authority over the clergy.)

It's the Economy, Stupid!

Even fans of the Middle Ages probably would never think to pair the phrase "economic theory" with the adjective "medieval." It would be a mistake, however, to assume that medieval thinkers were not aware of the needs and changes of the local economy. The 14th century alone saw some radical economic events, like the collapse of some Italian banking institutions. Whether this can truly be ascribed, wholly or in part, to Edward III, it is true that his administration spent larger sums of money than was prudent. The Black Death also had an effect on economy.

Merchants fueled a thriving middle class.

During the economic shifts of the 14th century, an anonymous poet wrote an alliterative poem addressing the topic of those who spend lavishly and those who are more frugal and prefer to make and save money. The poem probably would have been lost if not for the efforts of Robert Thornton, who in the 15th century made a hobby of collecting manuscripts. His copy of the poem—the only version we have—may have textual errors due to hasty copying. Still, it offers us an interesting look at that society.

The poem is called Wynnere and Wastoure, and refers to Winners (who earn money) and Wasters (who are extravagant with money). The narrator, while walking on a sunny day, falls asleep by a stream and has a dream-vision. (This is a common way to begin an allegory.) In the dream, Winner and Waster each lead an army. Just before their battle begins, a messenger arrives who summons them before the king, who will listen to their argument and resolve their issues definitively.

This he fails to do. After listening to the arguments of the two, the king gives an ambiguous judgment, condemning each as unbalanced practices but endorsing both as necessary actions in society—although the king does point out that Winner will never be able to keep up with Waster. Thornton's manuscript breaks off at line 503, so any conclusion after his judgment is lost to us.

Internal evidence in the poem suggests a date of composition prior to 1370: it mentions a Chief Justice, William Shareshull, who died in 1370. That would place the composition in the reign of Edward III, and it is generally accepted by scholars that the king of the poem is meant to represent Edward, who himself would have had constant dealing with "wasting" because of his expenses on wars and living well, and with the "winners" of a growing and increasingly wealthy middle class.

That's "Positively Medieval!"

It is not uncommon for the term "medieval" to be used negatively, to connote an action or opinion that is primitive or uncivilized, or that displays outright savagery. There is, of course, much discussion among medievalists who feel this does a disservice to a time that, to borrow from C.S. Lewis, was "not a matter of having no manners, as having different manners."*

There is a recent story in the U.S. political realm, however, whose medieval roots are difficult to ignore. It's time, therefore, to take a brief look at some early law books at the beginning of Western Civilization to see if we can explain some of the modern attitudes that some of us would call "positively medieval."

Fleta was published not earlier than 1290, and probably shortly after. It is a 557-page Latin book of English laws found in the Cotton Library. It seems to be largely a re-write of the De Legibus et Consuetudinibus Angliæ (On the Laws and Customs of England) of Henry Bracton (c.1210-1268). Fleta contains some early laws that support ideas that are still with us. For instance, in one place, it says:

Those who have dealings with Jews or Jewesses, those who commit bestiality, and sodomists, are to be buried alive after legal proof that they were taken in the act, and public conviction.**

It should be noted that the penalty of burial alive is not known to have been carried out at any time. Fleta also contains the following clause while discussing rape, which has become a very popular topic this week:

If, however, the woman should have conceived at the time alleged in the appeal, it abates, for without a woman's consent she could not conceive.

The claim is that if a woman conceives during intercourse, she cannot claim rape. The belief was that part of the mechanism for conception of a child was the love between the husband and wife, and their enjoyment of the act. If the pleasure were missing, conception could not occur.

I mention Fleta because it is being quoted this week in public forums. In fact, more than one compendium of laws existed early on. One of them, called Britton, was contemporaneous with Fleta. Britton was written in French, was very similar to Fleta (having drawn from the same sources), was more organized and codified, and was probably turned to more over time because French was a more accessible language to a majority than Latin. Like the U.S. Constitution, which denied equality to women and blacks, these works are interesting historical documents that deserve to be discussed but need to be amended if we expect to actually apply them to the modern world.

*From That Hideous Strength, when describing the eating methods of the recently-revived 6th century Merlin.
**The 1290 date can be surmised because that is the year Jews were declared "outlaw" in England, and given the choice of Expulsion or conversion and a kind of "house arrest" in the London "Converts' Inn." Prior to this, "dealings with Jews" would have been typical.

Treason

Nowadays, when the word "traitor" is used casually to refer to someone who has decided he likes "Hunger Games" better than "Harry Potter," and when Freedom of Speech tolerates numerous calumnies against political leaders, it is difficult to imagine the enormity of the charge of treason centuries ago. "Traitor" comes into English from the French traitour, which in turn is from Latin traditor, "one who hands over." It is directly connected in the medieval mind with Judas Iscariot turning over Jesus to the authorities.

If medieval kings were duly anointed and therefore had God behind them, betraying a king was akin to blasphemy. Only the harshest of punishments was suitable for treason: to be hanged, drawn and quartered; however, a woman was burnt at the stake (the quartering of her body would result in people seeing naked lady parts, and that was unacceptable in a civilized society), and nobles convicted of treason had the more genteel conclusion of beheading.

Edward III

The difficulty with treason was the flexibility of the charge. During the time of Edward III (1312-1377), the courts sometimes declared as treason crimes that others would consider mere felonies, or acts that infringed on the king's power. By this loose definition, gathering firewood in the king's hunting grounds could be prosecuted as treason. The Treason Act of 1351 clarified the position of the Crown and Parliament, splitting offenses into high and petty treason. Petty treason was the killing of your (non-king) superior, and was abolished in 1828.

High treason could be achieved by numerous actions:

• Killing (or planning to kill) the King, his wife, or his heir
• Violating the King's wife, the King's unmarried eldest daughter, the wife of the King's heir
• Warring against the King
• Providing aid and comfort to the King's enemies
• Counterfeiting the Great Seal or Privy Seal
• Counterfeiting English currency
• Killing an acting Chancellor, Treasurer, or a King's Justice

The Act took no chances, however, that new forms of treason would be thought of, and allowed for them in the future:

And because that many other like Cases of Treason may happen in Time to come, which a Man cannot think nor declare at this present Time; it is accorded, That if any other Case, supposed Treason, which is not above specified, doth happen before any Justices, the Justices shall tarry without any going to Judgement of the Treason till the Cause be shewed and declared before the King and his Parliament, whether it ought to be judged Treason or other Felony.

Changes have been made over the centuries. For instance, although the Treason Act of 1351 still holds in Scotland (because Parliament has not given Scotland the power to change it), it is no longer treason in England (as of 1861) to copy the Great Seal. Also, counterfeiting was reduced to a felony in 1832.

Ultimate Torture

We have so often heard the phrase "hanged, drawn and quartered" that we probably don't think about the details--or perhaps we simply ignore the details because our imaginations can supply them quite readily. The truth is, however, that the phrase became standard despite the fact that it could mean different things.

From the Chronica majora of Matthew Paris.

"Hanged" is pretty self-explanatory, "quartering" we can picture, but it's the "drawn" that presents confusion, since in the case of execution it can mean two things. On the one hand, it can refer to being dragged to the place of execution, either by being tied directly to a horse, or by being tied to a board that is dragged by a horse (the second method was developed so that the victim had a chance to be still alive and capable of further suffering). Matthew Paris illustrates an example of the first method in his Chronicle when he relates the story of a would-be assassin of Henry III. This story, in fact, is the earliest example we have of the multi-phase style of execution that evolved into "HDaQ." There was a second meaning of "draw" that applied to this punishment, however, for which I (thankfully) do not have an illustration: to draw out the intestines/organs of a person. We have several written accounts of this taking place, however.

Was there a distinction between HDaQ and DHaQ? That is, if the sentence was "hanged, drawn and quartered" did it always mean the convicted was disemboweled between the hanging and the quartering? Scholars disagree on this, and there is a case to be made that having "drawn" in the second position in the phrase could mean the convict was dragged, not disemboweled; it was merely mentioned second (although it might have taken place first, to get the convicted to the gallows) because it was not as significant as the hanging itself.

Whatever the case, the hanging was the trickiest part, because the goal was to strangle the victim just enough, but not kill him outright: you wanted him alive so he could suffer during the next step(s). The plan didn't always work: one victim was so hated that members of the crowd pulled down on his legs while he was hanging and hastened his death, and Guy Fawkes of Gunpowder Plot fame threw himself from the gallows platform, breaking his neck and cheating the Crown of its chance to punish him further.

Still, even if you survived the hanging and drawing—whichever definition was used—you usually weren't conscious (much less living) once the quartering started. So was the quartering essential to the process? Sure, because quartering wasn't part of the sentence for its value as torture. Quartering was important so that different body parts could be sent to different parts of the kingdom to be put on display as a warning to others who might be contemplating treason. The head, of course, was often prominently displayed on London Bridge, the major southern entrance into London, so that visitors and citizens could see it. I wonder if the mob of the Peasants Revolt saw any heads as they marched on London?

Geometry in Nature

The Fibonacci series, mentioned here, has been found to correlate to patterns found in nature. There is no evidence that Fibonacci himself ever made the connection between his arithmetical progression and the world around him, but the link between math and nature was recognized in other ways in the Middle Ages.

There is a unique manuscript called "The Sketchbook of Villard de Honnecourt." We know nothing about Villard except what can be gleaned from the internal evidence of this manuscript, which seems to be a notebook of his travels and interests. MS Fr 19093 now is in the Bibliotheque Nationale in Paris; it has been extensively copied and studied since it became widely known in 1849.

From the language and the 250 drawings found in his 33-page manuscript, we assume he was an architect from Picardy in northern France (there is a village called Honnecourt-sur-l'Escault in Picardy), traveling in the early-to-mid 1200s. Although architectural features make up the majority of his sketches (and presumably his interest) by far, there is no documentary evidence that he ever was connected with the design or construction of a building; nor did he sign his name with a title such as "master," to which he would have been entitled had he trained as an architect.

Still, he seems particularly introduced in buildings, drawing detailed façades of Laon and Reims Cathedral, a clocktower, the geometry of buildings; but he also depicts animals and insects, sculptures and mechanical devices such as a trebuchet, a machine for lifting heavy objects, a self-operating saw, a crossbow that never misses, and a perpetual motion machine. Alas, he draws them without explaining how to make them work.

Some of his notes, such as the one attached to the Lion shown above, are suspect. It is a very good drawing, but the caption tells us "Here is a lion seen from the front. Please remember that he was drawn from life." It seems unlikely that he saw a lion himself. The porcupine on the same page has the note "a little beast that shoots its quills when aroused," which tells us that he was getting his information from traditional bestiaries, not from real-life observation. On the lion's face you can still see the faint symmetrical guidelines he drew to start the artistic process.

Sketching guidelines was not an unusual start for medieval artists. Villard, however, offers us several examples of the correlation between geometry and representations of organic figures. Shown to the right is Page XXXVI of his manuscript, in which he shows how geometry fits into faces and figures.

His note in the bottom of the page depicted here says "Here begins the method of representation as taught by the art of geometry, to facilitate work. Elsewhere you will find the method of masonry."

A brief video showing some of his pages is here:

Medieval Bluetooth

The symbol shown here is used for the modern wireless communications protocol called "Bluetooth," created by the telcommunications company Ericsson. If you are at all familiar with the Runic system, it might look familiar in a different way because of its straight lines and angles. That is because it is a combination of the Runes Hagall ("h") and Bjarkan ("b"). And the reason for using the letters B and H is because they are the initials of the 10th century King of Denmark and Norway, Harald Bluetooth.

Harald "Bluetooth" Gormsson (c.935-986) was the son of the first historically recognized King of Denmark. Harald created the largest of the Jelling Stones (his father had set up the first). These commemorative stones carry inscriptions that include the earliest reference to Denmark as a nation. He also conducted important building projects, including a half-dozen massive stone ring forts and the oldest known bridge in southern Scandinavia, the half-mile long stone Ravninge Bridge (no longer extant).

He seemed to prefer negotiating over fighting, and managed to join and keep Danish tribes together, and briefly ruled Norway (okay, that was by force, after their king was assassinated). Perhaps it was his less-aggressive nature that made him amenable to Christianity, although the stories of his conversion are varied. One says he converted on a dare, when a monk named Poppa "proved" the power of God by carrying a heavy brand from the fire without being harmed. One story says he was converted against his will when he had been defeated by Otto I (founder of the Holy Roman Empire). Another account (written centuries after Harald's death) says it was Otto II who forced him to convert. Whatever the case, Harald converted in the 960s, and took it seriously: he transferred his father's body from a pagan-style grave in an ancient mound to a church.

This commemorates Harald's conversion.

But how did this all turn into a modern wireless protocol being named after Harald's nickname? And where did the nickname come from? The commonly repeated legend is that Harald loved and ate blueberries so much that his teeth were stained blue. A different (and not as attractive) story is that at least one of his teeth was diseased and took on a dark tinge, looking "blue" to some. This ties into one of the many legends of his Christian conversion: that he suffered from toothache and converted because Christian prayer was the only thing that took the pain away.

Whatever! What we can document is that one of the developers of the Bluetooth technology was reading a historical novel about Harald on the side. He felt that his protocol would unite different devices in a way analogous to Harald uniting different tribes in Denmark, instead of having them conflict with each other. He proposed calling the protocol Blåtand, Harald's nickname in Scandinavian. Although early Ericsson documents use this name, it formally became the English word "Bluetooth™"; I have read that folk in Scandinavian countries frequently use Blåtand instead of the official English name.

Frederick II

Frederick II of Sicily (1194-1250) has crossed the path of this blog more than once, but has not yet been featured.

He declared the Edict of Salerno, separating physicians and pharmacists.
Frederick was interested in math and science, and was friendly to and supportive of Fibonacci.
He promised to go on the Fifth Crusade, mentioned here, but never participated; he was blamed for its failures by Christians all over Europe as well as Pope Honorius III (who had been Frederick's tutor while young).

From the time he was declared Holy Roman Emperor in 1220 until his death 30 years later, he was a tremendous influence on science and culture, but a difficulty for popes and religion—odd, considering he willingly took the title Holy Roman Emperor. Although Pope Innocent III was his guardian growing up, Frederick often said blasphemous things, supposedly mocking Moses and Jesus and Mohammed for being frauds. His public attitude toward religion was unusual for his era and position, and Dante's Inferno places him in the circle of hell reserved for heretics.

He was, however, also possessed of a rationalism that was unusual for his era. He hired Arabs/Muslims as soldiers and personal guards; he hired Jewish scholars to be at his court. He pointed out the unfairness of trials by ordeal, because the stronger man would always win regardless of guilt or innocence. He hired the mathematician and scholar Michael Scot (of whom Honorius III thought very highly) to, among other things, make new translations of Aristotle and Arabian works into Latin. Michael Scot's translation of Aristotle was done with the help of Hermannus Alemannus ("Herman the German").

He had three wives and several mistresses. His third wife was Isabella of England, the daughter of King John Lackland. It was a political marriage, taken on because marrying an English princess would make his political opponents lose support from England. Once Isabella arrived in Sicily, she was sent to live in seclusion in Padua with only two of her English retainers.

Although Frederick had a profound and positive impact on laws and science, his personal manner made him many enemies and detractors. The Hohenstaufen lineage, which had included Frederick Barbarossa, lost power after Frederick II's death.

The Abacus

After mentioning Fibonacci's work, the Liber Abacus, it occurred to me that the place of the abacus in history deserved a little attention.

The Salamis Tablet, 300 BCE

Like the etymology for book, the word "abacus" does not start out to "mean" a frame with wires and beads. The word "abacus" first enters print in the English language in 1387. The Latin word from which it is lifted refers to a sandboard, a counting board covered in sand that allows you to draw with your finger. Latin took the word from the Greek abax, abakos, a board covered with sand for the purpose of drawing figures and calculating. At some point, the sand was replaced with counters of wood or stone that were moved from column to column for calculations, and the board itself was designed to facilitate calculations

In 1846, on the island of Salamis, a white marble counting board was discovered. The Salamis Tablet has been studied extensively, and one scholar has made a video of its proper use.

But when did abacus come to refer to the wooden frame with beads on wires? A reconstruction of a 1st century Roman abacus shows a board with grooves to keep the round beads in line. Visually, it resembles the abacus with which we are familiar. Gerbert of Aurillac (c.946-1003), one of the most influential scientific minds of his era, pushed the use of the abacus as a method of calculating much more swiftly than when using Roman numerals. He was able to promote its use even more when he became Pope Sylvester II.

The abacus in the form we think of it seems to come from China in the 2nd century BCE. Called a suanpán ("counting tray"), it was built with rods that held beads, 2 on an upper deck and 5 on a lower. Now called the "2/5 abacus," the two decks allowed the user to use larger numbers without adding 1+1+1+1, etc. Other versions had different numbers of rods, and different numbers of beads on them.

Abacus showing 87,654,321

Visually, it is very much like the Roman abacus mentioned above. Commerce between Rome and China was not unknown, but a direct influence cannot be proven. Still, the wooden-framed Chinese suanpán was so much like the Roman abacus that it was natural that the West would use the same name for the new device. In fact, no one type of the many objects used for calculating universally replaced the others. Counting boards of clay or wax were used well past the Middle Ages. In fact, until just after 2000, some accounting schools in China required proficiency in using the bead abacus.

Fibonacci

While the foundation of the Tower of Pisa was being being laid, a man was born nearby who developed math skills that might have helped the ill-fated architectural wonder.
Leonardo Pisano ("of Pisa") (c.1175-c.1250) was the son of Guglielmo Bonacci. Although known as "Leonardo Pisano" during his lietime, he signed his name "Bonacci" on his writings; an 1838 writer referred to him as "Fibonacci"—short for filius Bonacci ("son of Bonacci")—and the name stuck with his modern fans.

His father was a customs officer in Algeria, and between living there and traveling around the coast of the Mediterranean, Leonardo grew up exposed to education outside of the Greco-Roman/Western European tradition. He recognized the advantages of the Hindu-Arabic system of numbers over using Roman numerals, and worked to popularize it in Europe, starting with his 1202 work Liber Abaci ("Book of the Abacus" or "Book of Calculating"). In it, he presented to Europe the decimal system by which we all learn the four basic mathematical functions in school.

Calculating with the four functions in a decimal system.

The decimal system, with its "places" for ones and tens and hundreds, etc.,  was much "neater" than the system of Roman numerals and included a digit for "zero." Roman numerals had no "zero," and the words null or nihil were used to express a lack of something. The Roman tradition had great difficulty with the concept of "nothing" in math, because it seemed inappropriate to have a "something" that would indicate a "nothing."

If people have heard of Fibonacci in the present day, it is usually because of a particular sequence of numbers associated with him. In Chapter 12 of the Liber Abaci, he presents a math problem: how many rabbits are created in one year starting with one pair? After describing the progression in words, he shows the number progression as 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. Examples of this series existed prior to Fibonnaci, and it is likely that he was simply repeating something he had learned, but 19th century mathematician Edouard Lucas called this sequence the Fibonacci numbers. They have been found to relate to many phenomena found in nature. (A thorough discussion is impossible here, but look.)

A webpage with some simple representations of the Fibonacci sequence is here.