Tuesday, February 23, 2016

Quadrant Model of Reality Book 25 Philosophy

Philosophy Chapter



QMRGildas described how the Saxons were later slaughtered at the battle of Mons Badonicus 44 years before he wrote his history, and Britain reverted to Romano-British rule. The 8th century English historian Bede disagreed with Gildas, stating that the Saxon invasions continued after the battle of Mons Badonicus, including also Jutish and Anglic expeditions. He said these resulted in a swift overrunning of the entirety of South-Eastern Britain, and the foundation of the Anglo-Saxon kingdoms.

Four separate Saxon realms emerged:

East Saxons: created the Kingdom of Essex.
Middle Saxons: created the province of Middlesex
South Saxons: led by Aelle, created the Kingdom of Sussex
West Saxons: created the Kingdom of Wessex
During the period of the reigns from Egbert to Alfred the Great, the kings of Wessex emerged as Bretwalda, unifying the country. They eventually organised it as the kingdom of England in the face of Viking invasions.


QMRCharlemagne was engaged in almost constant battle throughout his reign,[39] often at the head of his elite scara bodyguard squadrons, with his legendary sword Joyeuse in hand. In the Saxon Wars, spanning thirty years and eighteen battles, he conquered Saxonia and proceeded to convert the conquered to Christianity.

The Germanic Saxons were divided into four subgroups in four regions. Nearest to Austrasia was Westphalia and furthest away was Eastphalia. In between these two kingdoms was that of Engria and north of these three, at the base of the Jutland peninsula, was Nordalbingia.


QMRAttention should be drawn at the outset to certain fundamental definitions and principles of the science. The original characters of an alphabet are modified by the material and the implements used. When stone and chisel are discarded for papyrus and reed-pen, the hand encounters less resistance and moves more rapidly. This leads to changes in the size and position of the letters, and then to the joining of letters, and, consequently, to altered shapes. We are thus confronted at an early date with quite distinct types. The majuscule style of writing, based on two parallel lines, ADPL, is opposed to the minuscule, based on a system of four lines, with letters of unequal height, adpl


In Italy, after the close of the Roman and Byzantine periods, the writing is known as Lombardic, a generic term which comprises several local varieties. These may be classified under four principal types: two for the scriptura epistolaris, the old Italian cursive and the papal chancery hand, or littera romana, and two for the libraria, the old Italian book-hand and Lombardic in the narrow sense, sometimes known as Beneventana on account of the fact that it flourished in the principality of Benevento.


QMRThe Cologne Mani-Codex (Codex Manichaicus Coloniensis) is a minute[1] parchment codex, dated on paleographical evidence to the fifth century CE, found near Asyut (the ancient Lycopolis), Egypt; it contains a Greek text describing the life of Mani, the founder of the religion Manichaeism.

The codex became known via antique dealers in Cairo. It consisted of four deteriorated lumps of vellum the size of a palm, and was in very poor condition.[2] It was purchased for the Institut für Altertumskunde at the University of Cologne in 1969, and two of its scientists, Albert Henrichs (de) and Ludwig Koenen (de), produced a first report (1970)[3] and the first edition of this ancient manuscript, hence known as the Cologne Mani-Codex, which they published in four articles in the Zeitschrift für Papyrologie und Epigraphik (1975–82). Many emendations and alternate readings were offered in the following decade, and it was found that some of the minute fragments associated with the codex could be successfully incorporated into the body of text.[4] A second edition was published in 1988.[


QMRIn the mathematical field of graph theory, the Dürer graph is an undirected graph with 12 vertices and 18 edges. It is named after Albrecht Dürer, whose 1514 engraving Melencolia I includes a depiction of Dürer's solid, a convex polyhedron having the Dürer graph as its skeleton. Dürer's solid is one of only four well-covered simple convex polyhedra.


QMRFour continents
From Wikipedia, the free encyclopedia
This article is about the geographical divisions originating in the 16th century. For the figure skating event, see Four Continents Figure Skating Championships. For the modern 4 continent organization, see continent.
See also: Four corners of the world

The classical four continents
Europeans in the 16th century divided the world into four continents: Africa, America, Asia and Europe.[1] Each of the four continents was seen to represent its quadrant of the world—Europe in the north, Asia in the east, Africa in the south, and America in the west. This division fit the Renaissance sensibilities of the time, which also divided the world into four seasons, four classical elements, four cardinal directions, four classical virtues, etc.

The four corners of the world refers to the America (the "west"), Europe (the "north"), Asia (the "east"), and Africa (the "south").


A three-cornered world[edit]

The ancient tripartite world
Before the discovery of the New World a commonplace of classical and medieval geography had been the "three parts" in which, from Mediterranean and European perspectives, the world was divided: Europe, Asia and Africa. As Laurent de Premierfait, the pre-eminent French translator of Latin literature in the early fifteenth century, informed his readers:

Asia is one of the three parts of the world, which the authors divide in Asia, Africa and Europe. Asia extends towards the Orient as far as the rising sun ("devers le souleil levant"), towards the south ("midi") it ends at the great sea, towards the occident it ends at our sea, and towards the north ("septentrion") it ends in the Maeotian marshes and the river named Thanaus.[2]


A fourth corner: the enlarged world[edit]
For Laurent's French readers, Asia ended at "our sea", the Mediterranean; Europeans were only dimly aware of the Ural Mountains, which divide Europe from Asia in the eyes of the modern geographer, and which represent the geological suture between two fragmentary continents, or cratons. Instead, the division between these continents in the European-centered picture was the Hellespont, which neatly separated Europe from Asia. From the European perspective, into the Age of Discovery, Asia began beyond the Hellespont with Asia Minor, where the Roman province of Asia had lain, and stretched away to unimaginably exotic and distant places— "the Orient".

In the sixteenth century America too was full of exotic promise: the "New World".[3]

In 1603, Cesare Ripa published a book of emblems for the use of artists and artisans who might be called upon to depict allegorical figures. He covered an astonishingly wide variety of fields, and his work was reprinted many times. It was still being brought up-to-date in the 18th century. The illustrations reveal fixed Eurocentric perceptions of the nature of the "four corners of the world." Ripa's Europe (illustration, left) is the land of abundance (cornucopia) of kings and the pope, whose crowns and the papal tiara lie at her feet, and of cities.

Asia: woodcut in Ripa's Iconologia, 1603
Africa, by contrast (illustration, below right) wears the elephant headdress (worn by rulers depicted on Hellenistic Bactrian coins) and is accompanied by a lion, the scorpion of the desert sands and Cleopatra's asps. Asia (illustration, right), the seat of Religion, carries a smoking censer as a camel takes its ease.


And the iconic image of America (illustration, below left) shows a Native American maiden in a feathered headdress, with bow and arrow. Perhaps she represents a fabled Amazon from the river that already carried the name.

The American millionaire philanthropist James Hazen Hyde, who inherited a majority share in Equitable Life Assurance Society, formed a collection of allegorical prints illustrating the Four Continents that are now at the New-York Historical Society; Hyde's drawings and a supporting collection of sets of porcelain table ornaments and other decorative arts illustrating the Four Continents were shared by various New York City museums.

Africa: woodcut in Ripa's Iconologia 1603
The Renaissance associated one major river to each of the continents. The Four Rivers theme appears for example in the Fontana dei Quattro Fiumi in the Piazza Navona in Rome.


The fourth is always different



QMrGodfrey of Bouillon, from a fresco painted by Giacomo Jaquerio in Saluzzo, northern Italy, in 1420 ca.
He wore a shirt with 16 squares within a quadrant- the quadrant model


Godfrey of Bouillon (18 September 1060 – 18 July 1100) was a medieval Frankish knight who was one of the leaders of the First Crusade from 1096 until his death. He was the Lord of Bouillon, from which he took his byname, from 1076 and the Duke of Lower Lorraine from 1087. After the successful siege of Jerusalem in 1099, Godfrey became the first ruler of the Kingdom of Jerusalem. He refused the title of King, however, as he believed that the true King of Jerusalem was Christ, preferring the title of Advocate (i.e., protector or defender) of the Holy Sepulchre (Latin: Advocatus Sancti Sepulchri). He is also known as the "Baron of the Holy Sepulchre" and the "Crusader King".


QMRThe King of Jerusalem[1] was the supreme ruler of the Crusader States, founded by Christian princes in 1099 when the First Crusade took the city; the title disappeared with the departure of the last crusader of Tartus in August 1291, less than two centuries later. Its history can be divided into various periods: those where the title of King of Jerusalem was associated with Jerusalem itself (1099–1187 and 1229–1244), and those where the title represents the highest level of suzerainty in the Holy Land without the city itself as part of the realm.

After the Crusader States ceased to exist, the empty title of King of Jerusalem was claimed by numerous Western kings and princes.

The Coat of arms of the Kingdom of Jerusalem has 16 squares within a quadrant. It is the quadrant model. My question is "is this a coincidence, reality is really getting pretty incredible".


QMRUnder new king Manuel I of Portugal, on July 1497 a small exploratory fleet of four ships and about 170 men left Lisbon under command of Vasco da Gama. By December the fleet passed the Great Fish River—where Dias had turned back—and sailed into unknown waters. On 20 May 1498, they arrived at Calicut. The efforts of Vasco da Gama to get favorable trading conditions were hampered by the low value of their goods, compared with the valuable goods traded there.[citation needed] Two years and two days after departure, Gama and a survivor crew of 55 men returned in glory to Portugal as the first ships to sail directly from Europe to India.


QMROne interpretation suggests the image references the depressive or melancholy state and accordingly explains various elements of the picture. Among the most conspicuous are:

The tools of geometry and architecture surround the figure, unused
The 4 × 4 magic square, with the two middle cells of the bottom row giving the date of the engraving: 1514. The square features the traditional magic square rules based on the number 34, and in addition, the square's four quadrants, corners and center also equal this number.
The truncated rhombohedron[5] with a faint human skull on it. This shape is now known as Dürer's solid; over the years, there have been numerous articles disputing the precise shape of this polyhedron[6])
The hourglass showing time running out
The empty scale (balance)
The despondent winged figure of genius
The purse and keys
The beacon (or comet) and rainbow in the sky[7]
Mathematical knowledge is referenced by the use of the symbols: compass, geometrical solid, magic square, scale, hourglass.





QMRThere are 4 uniform compounds of triangular prisms:

Compound of four triangular prisms, compound of eight triangular prisms, compound of ten triangular prisms, compound of twenty triangular prisms.


QMRIn 4-polytopes[edit]
It exists as cells of four nonprismatic uniform 4-polytopes in 4 dimensions:


QMRGraph-theoretic properties[edit]
Dürer graph
Dürer graph.svg
The Dürer graph
Named after Albrecht Dürer
Vertices 12
Edges 18
Radius 3
Diameter 4
Girth 3
Automorphisms 12 (D6)
Chromatic number 3
Chromatic index 3
Properties Cubic
Planar
well-covered
The Dürer graph is the graph formed by the vertices and edges of the Dürer solid. It is a cubic graph of girth 3 and diameter 4. As well as its construction as the skeleton of Dürer's solid, it can be obtained by applying a Y-Δ transform to the opposite vertices of a cube graph, or as the generalized Petersen graph G(6,2). As with any graph of a convex polyhedron, the Dürer graph is a 3-vertex-connected simple planar graph.

The Dürer graph is a well-covered graph, meaning that all of its maximal independent sets have the same number of vertices, four. It is one of four well-covered cubic polyhedral graphs and one of seven well-covered 3-connected cubic graphs. The only other three well-covered simple convex polyhedra are the tetrahedron, triangular prism, and pentagonal prism.[4]

The Dürer graph is Hamiltonian, with LCF notation [-4,5,2,-4,-2,5;-].[5] More precisely, it has exactly six Hamiltonian cycles, each pair of which may be mapped into each other by a symmetry of the graph.[6]


QMRThe snub disphenoid, one of four well-covered 4-connected 3-dimensional simplicial polyhedra.

There are no well-covered 5-connected maximal planar graphs, and there are only four 4-connected well-covered maximal planar graphs: the graphs of the regular octahedron, the pentagonal dipyramid, the snub disphenoid, and an irregular polyhedron (a nonconvex deltahedron) with 12 vertices, 30 edges, and 20 triangular faces. However, there are infinitely many 3-connected well-covered maximal planar graphs.[15] For instance, a well-covered 3-connected maximal planar graph may be obtained via the clique cover construction[6] from any 3t-vertex maximal planar graph in which there are t disjoint triangle faces by adding t new vertices, one within each of these faces.

QMRThe snub disphenoid, one of four well-covered 4-connected 3-dimensional simplicial polyhedra.

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