The board starts off with a portion of the map left blank: when players expand into the blank region, terrain hexes are drawn at random from a supply and placed in the empty space, and, if a land hex is " discovered ", a number token may be assigned.

This graph is planar ( it is important to note that we are talking about the graphs that have some limitations according to the map they are transformed from only ): it can be drawn in the plane without crossings by placing each vertex at an arbitrarily chosen location within the region to which it corresponds, and by drawing the edges as curves that lead without crossing within each region from the vertex location to each shared boundary point of the region.

One of the most famous and productive problems of graph theory is the four color problem: " Is it true that any map drawn in the plane may have its regions colored with four colors, in such a way that any two regions having a common border have different colors?

Leo Belgicus, a map of the low countries drawn in the shape of a lion, by Claes Jansz.

A map drawn by one of Alarcón's pilots is the earliest accurately detailed representation of the Gulf of California and the lower course of the Colorado River.

In terms of quantity, the largest number of drawn map sheets is probably made up by local surveys, carried out by municipalities, utilities, tax assessors, emergency services providers, and other local agencies.

In the Middle Ages many maps, including the T and O maps, were drawn with East at the top ( meaning that the direction " up " on the map corresponds to East on the compass ).

Many, but not all, maps are drawn to a scale, expressed as a ratio such as 1: 10, 000, meaning that 1 of any unit of measurement on the map corresponds exactly, or approximately, to 10, 000 of that same unit on the ground.

His world map is the oldest known Turkish atlas showing the New World, and one of the oldest maps of America still in existence anywhere ( the oldest known map of America that is still in existence is the map drawn by Juan de la Cosa in 1500 ).

In redrawing the map of Europe, Yugoslavia was created as an intentional coalition state among competing, and often mutually hostile, southern Slavic peoples, and the League of Nations ' mandates were often drawn, not to unify ethnic groups, but to divide them.

The word " Biafra " appeared for the first time in the ancient map of Africa drawn by the Portuguese from 1492 to 1729 when it was spelt as Biafara, Biafar, and Biafares.

First map of New Zealand, drawn by Captain James Cook.

Military lines are drawn near the fort, and there are other map elements that are labeled by letters.

In those early days, there was no " Flanaess "; the world map of " Oerth " was developed by Gygax as circumstances dictated, the new cities and lands simply drawn over a map of North America.

When long distance aviation or nautical routes are drawn on a flat map ( for instance, the Mercator projection ), they often look curved.

The first " decent " map of California and Oregon were drawn by Frémont and his topographers and cartographers in about 1848.

Connecticut ( since 1960 ) and Rhode Island have no county level of government and thus no county seats ; in those states, counties exist today as little more than lines drawn on a map.

The Nazis capture Marcus, who had traveled to Hatay, Turkey with a map that Henry had drawn to show the route to the Grail's hiding place.

Once this has been established the features on the lot can be drawn, dimensions can be shown from these features to the boundary line and a map or plat is prepared for the client.

Rumold's world map, drawn in 1587 after his father's map of 1567 ( published in 1595 )

It was initially treated with suspicion, partly because wormholes in the map and the Relation did not match.

In spring 1958, however, Witten's friend Thomas Marston, a Yale librarian, acquired from London book dealer Irving Davis a dilapidated medieval copy of volume 3 of Vincent of Beauvais's encyclopedic Speculum historiale (" Historical Mirror "), which turned out to be the missing link ; the wormholes showing that it had formerly had the map at its beginning and the Relation at its end.

Only one of them, Dr. Raleigh Ashlin Skelton, keeper of the Museum's map collection, had significant expertise relevant to the problems posed by the map ( his colleague George Painter, the first person to whom Davis had shown the map in 1957, was brought in for the transcription and translation of the Relation ) and the secrecy almost completely ruled out consultation with specialists.

After years of study, the proofs of the book, The Vinland Map and the Tartar Relation, were ready by the end of 1964, and Mellon donated the map to Yale.

Handwriting experts at the 1966 Conference tended to disagree with Witten's assessment that the map captions had been written by the same person as the Speculum and Relation texts.

e ) the rebinding of the Speculum volume without the map and Relation had used plastic thread, only available since about 1950.

The expanded 30th anniversary edition of the 1965 official book, The Vinland Map and the Tartar Relation, was notable for its exclusion of most of the evidence against the map's authenticity, concentrating instead on vindications by George Painter, and Thomas Cahill with colleague Bruce Kusko ( in which they claimed specifically that they had not analyzed the loose particles they took from the map at the time of their PIXE research ), but it did reprint a remarkable essay written in 1989 by the original book dealer Laurence Witten.

The map by Thévenot, Hollandia Nova ‒‒ Terre Australe in Relation de divers voyages et curieux is a French version of the chart of Abel Tasman's discoveries using information from Dutch sources, notably Joan Blaeu ’ s world map published in 1659.

In 1877 a map was published called Tiefenkarte des Grossen Ozeans by Petermann, which showed a Challenger Tief at the location of that sounding.

He was also a partisan of a " policy of nationalities " ( principe des nationalités ) re-casting the map of Europe, sweeping away small principalities to create unified nation-states, even when this seemed to have little relevance to France's material interests.

The original logo of the CBC, designed by École des Beaux Arts student Hortense Binette and used between 1940 and 1958, featured a map of Canada ( and from 1940 to 1949, the Dominion of Newfoundland ) and a thunderbolt design used to symbolize broadcasting.

As late as 1716, Guillaume Delisle's map of Paris shows that a short stretch of roads and fields and market garden plots still separated the grand axe of the Tuileries gardens from the planted " Avenue des Thuilleries ," stretches west from a newly cleared Place du Pont Tournant soon to be renamed for Louis XV and now the Place de la Concorde.

Carte des peuplades du Sénégal de l ' abbé Boilat ( 1853 ): an ethnic map of Senegal at the time of French colonialism.

He visited it four times in 1841-8 ; and his first map ( 1843 – 1846 ), together with his Karte des osmanischen Reiches in Asien ( 1844 and 1869 ), formed the highest authority for the geography of the region.

* Photocopy of The Munich Agreement from Politisches Archiv des Auswärtigen Amts in Berlin ( text in German ) and from The National Archives in London ( map ).

The Coteau des Prairies is seen near the upper center of the map, " High land covered with wood called mountain of the prairie.

In 1823 he was selected along with Dufrénoy by Brochant de Villiers, the professor of geology in the École des Mines, to accompany him on a scientific tour to England and Scotland, in order to inspect the mining and metallurgical establishments of the country, and to study the principles on which George Bellas Greenough's geological map of England ( 1820 ) had been prepared, with a view to the construction of a similar map of France.

File: Kärtchen des Isthmus von Korinth enlarged. jpg | Old map of Corinth Canal area

While the names Lac des Puans ( for Lake Michigan on a map from 1650 ) and Le Baye des Puans ( on later maps ) led some historians to conclude these referred to the condition of the waters, early records of both bodies reported them as clear and fresh.

This 1753 map by the French cartographer Philippe Buache locates Fusang (" Fou-sang des Chinois ", " Fusang of the Chinese ") north of the State of California, in the area of British Columbia.

Mention of Fusang (" Fousang des Chinois ") on a 1792 French world map, in the area of modern British Columbia.

" The Country of the Khalkha " ( Pays des Kalkas ) on a 1734 map by d ' Anville, based on Jesuit China missions | Jesuits ' fieldwork ca.

By using hachuring as a basis for his Karte des Österreichischen Kaiserstaates zur Übersicht der Dichtigkeit der Bevölkerung nach dem Census von 1857 ( Map of the Austrian imperial state as an overview of the population density after the 1857 census, 1860 ) and the map Die Ausdehnung der Slaven in der Türkei und den angrenzenden Gebieten ( Expansion of the Slavic populations in Turkey and adjacent territories, 1869 ) Petermann continued the representation of geological, climatological and ethnographical data that his teacher Heinrich Berghaus had begun two decades before.

The map is from L ' Histoire du Nouveau Monde ou description des Indes Occidentales, contenant dix-huict livres ... enrichi de nouvelles tables geographiqiues & figures des animaux, plantes & fruicts by Joannes de Laet ( 1593 – 1649 ), published 1640 by Bonaventure & Abraham Elseviers, Leiden.

1718 Guillaume Delisle map, showing locations of the Ioway ( Aiouez au Pauotez ), the Omaha ( tribe ) | Omaha ( Maha ), the Otoe tribe | Otoe ( Octotata ), the Kaw ( tribe ) | Kaw ( Cansez ) and the main Coureur des bois # Voyageurs | voyageur trail ( Chemin des voyageurs ).

In 1702, d ' Isle's map recorded the name of the river as Riviere des Mendeoüacanton ( River of the Mdewakanton ).

On the " Carte représentant le Messisipi entre le 49e d. et le 42e d. ou aboutit la rivière Wisconsing lac Supérieure, lac des Illinois et lac Alemepigon " map ( c. 1730 ), Rum River is recorded as Rivière de S. François ou des Nadouessioux ( St. Francis or Sioux River ).