# Significant Number Factoid Friday – Today The Number Is Sixty-Four 64

“Fight Against Stupidity And Bureaucracy”

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Another significant numbers day.

In case you are wondering these numbers are picked quite randomly. Only after it makes itself known does the search start for things associated with it.

Sometimes there is a lot, sometimes not so much. Sixty-four seems to be a well used number so a lot of information below.

If you are into numbers, enjoy.

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## The Number Sixty-Four  64

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In religion

• The 64th word of the King James Version of the Bible’s Old Testament Genesis is “light”;
• King David prays for deliverance from his enemies in the 64th Psalm;
• The 64 Dakinis or Yoginis are 8 Mother goddesses each with 8 attendants in India religious traditions; each of the 64 can be further correlated to the currents or winds of the human “etheric” body;
• The Lord Shiva has 64 forms or manifestations.

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In mathematics

• Sixty-four is the square of 8, the cube of 4, and the sixth power of 2;
• Sixty-four is the smallest number with exactly seven divisors;
• Sixty-four is the lowest positive power of two that is adjacent to neither a Mersenne prime nor a Fermat prime;
• Sixty-four  is the sum of Euler’s totient function for the first fourteen integers;
• Sixty-four is also a dodecagonal number and a centered triangular number;
• In base 10, no integer added up to its own digits yields 64, hence it is a self number;
• Sixty-four is a super-perfect number – a number such that s(s(n))=2n.

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• Base64
• Base64 is a group of similar binary-to-text encoding schemes that represent binary data in an ASCII string format by translating it into a radix-64 representation. The term Base64 originates from a specific MIME content transfer encoding.
• Base64 encoding schemes are commonly used when there is a need to encode binary data that needs to be stored and transferred over media that are designed to deal with textual data. This is to ensure that the data remain intact without modification during transport.
• Base64 is commonly used in a number of applications including email via MIME, and storing complex data in XML.

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• Graham’s number
• Graham’s number, named after Ronald Graham, is unimaginably larger than other well-known large numbers such as a googol, googolplex, and even larger than Skewes’ number and Moser’s number.
• The number gained a degree of popular attention when Martin Gardner described it in the “Mathematical Games” section of Scientific American in November 1977, writing that, “In an unpublished proof, Graham has recently established … a bound so vast that it holds the record for the largest number ever used in a serious mathematical proof.” The 1980 Guinness Book of World Records repeated Gardner’s claim, adding to the popular interest in this number.
• Specific integers known to be far larger than Graham’s number have since appeared in many serious mathematical proofs (e.g., in connection with Friedman’s various finite forms of Kruskal’s theorem).

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In Computing

• 64-bit
• In computer architecture, 64-bit computing is the use of processors that have datapath widths, integer size, and memory addresses of 64 bits (eight octets) wide. Also, 64-bit CPU and ALU architectures are those that are based on registers, address buses, or data buses of that size. From the software perspective, 64-bit computing means the use of code with 64-bit virtual memory addresses

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• Commodore 64
• The Commodore 64, commonly called C64, CBM 64 (for Commodore Business Machines), or VIC-64, is an 8-bit home computer introduced in January 1982 by Commodore International.
• Volume production started in the spring of 1982, with machines being released on to the market in August at a price of US\$595.
• Preceded by the Commodore VIC-20 and Commodore PET, the C64 took its name from its 64 kilobytes (65,536 bytes) of RAM, and had favorable sound and graphical specifications when compared to contemporary systems such as the Apple II, at a price that was well below the circa US\$ 1200 demanded by Apple.
• For a substantial period (1983–1986), the C64 dominated the market with between 30% and 40% share and 2 million units sold per year, outselling the IBM PC compatibles, Apple Inc. computers, and Atari 8-bit family computers.
• Sam Tramiel, a later Atari president and the son of Commodore’s founder, said in a 1989 interview “When I was at Commodore we were building 400,000 C64s a month for a couple of years.”

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• Dragon 64
• The Dragon 32 and Dragon 64 are home computers that were built in the 1980s. The Dragons are very similar to the TRS-80 Color Computer (CoCo), and were produced for the European market by Dragon Data, Ltd., in Port Talbot, Wales, and for the US market by Tano of New Orleans, Louisiana.
• The model numbers reflect the primary difference between the two machines, which have 32 and 64 kilobytes of RAM, respectively.

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In science

• Sixty-four is the Atomic Number of Gadolinium (Gd), discovered by Jean de Marignac 1880 (Switzerland), and named after the mineral gadolinite;
• Sixty-four is the Atomic Weight of Copper (Cu).
• There are 64 codons in the RNA codon table under genetic code.

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In space

• Messier object M64, is a magnitude 9.0 galaxy in the constellation Coma Berenices, also known as the Black Eye Galaxy;
• The New General Catalogue object NGC 64, a barred spiral galaxy in the constellation Cetus;
• WOH G64 is a red hypergiant in the Large Magellanic Cloud. With 1540 times the radius of the Sun, it is one of the largest known stars and the largest known in the LMC. The physical parameters are still poorly known due to the distance, visual faintness, several solar masses of shrouding dust, and the possibility of a bright hot companion.

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• STS-64
• STS-64 was a Space Shuttle Discovery mission, launched from Kennedy Space Center, Florida, on 9 September 1994, to perform multiple experiment packages.
• STS-64 marked the first flight of Lidar In-space Technology Experiment (LITE) and first untethered U.S. extravehicular activity (EVA) in 10 years. LITE payload employs lidar, which stands for “light detection and ranging”, a type of optical radar using laser pulses instead of radio waves to study Earth’s atmosphere.
• On day five of the mission, the Shuttle Pointed Autonomous Research Tool for Astronomy-201 (SPARTAN-201) free flyer was released using the Remote Manipulator System arm.
• STS-64 was the first mission to see the use of the new full-pressure Advanced Crew Escape Suit, which eventually replaced the partial-pressure Launch Entry Suit.

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In politics

• Department of State Form DS-64 is the one US Citizens need if they lose or have your passport stolen;
• Department of Labor Chapter 64 regulates the employment of workers with disabilities at special wages;
• In the United States presidential election of 1964, held on Tuesday, November 3, 1964, Democratic candidate and incumbent President Lyndon B. Johnson who had come to office less than a year earlier following the assassination of his predecessor, John F. Kennedy, and who had successfully associated himself with Kennedy’s popularity, won 61.1% of the popular vote, the highest won by a candidate since 1820.

• In Chinese the “Six Four Incident” refers to Tiananmen Square protests of 1989.

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In sport

• There are 64 teams participating in the NCAA Basketball Tournament;
• In chess or draughts, there are a total of 64 black (dark) and white (light) squares on the game board;
• The Knight’s Tour of a chessboard is a sequence of moves by a knight so that each of the 64 squares is visited only once. The numbers of the knight’s moves form a magic square where each row and column adds up to 260;
• 64 is the name of the premier Russian chess magazine;
• NFL Hall of Famers with jersey #64 include Dave Wilcox, Linebacker (Boise Junior College, Oregon) and 1964-1974 San Francisco 49ers; George Blanda, Quarterback-Kicker, 1949, 1950-58 Chicago Bears, 1950 Baltimore Colts, 1960-66 Houston Oilers, 1967-1975 Oakland Raiders; Joe Delamielleure, Guard, 1973-1979, 1985 Buffalo Bills, 1980-1984 Cleveland Browns; Randall McDaniel, Guard, 1988-1999 Minnesota Vikings, 2000-01 Tampa Bay Buccaneers; Y.A. Tittle, Quarterback, 1948-1950 Baltimore Colts (AAFC/NFL), 1951-1960 San Francisco 49ers, 1961-1964 New York Giants.

• In the National Hockey League, jersey #64 is used by James Robert McGinn IV is a Canadian professional ice hockey player currently playing for the Colorado Avalanche.

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In books, movies, music and TV

• The \$64,000 Question is an American game show broadcast from 1955–1958, which became embroiled in the scandals involving TV quiz shows of the day. The \$64,000 Challenge (1956–1958) was its popular spin-off show.
• When I’m 64 is a song by John Lennon & Paul McCartney from The Beatles’ Sgt. Pepper’s Lonely Hearts Club Band album (1967).

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In militaria

• HMS Vansittart
• HMS Vansittart was an Admiralty modified W class destroyer built for the Royal Navy. She was ordered in January 1918 from William Beardmore & Company with the 13th Order for Destroyers of the Emergency War Program of 1918-19. She was the second Royal Navy ship to carry the name which was first used in 1821 for a hired packet.

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• HMS Beverley (H 64)
• Completed in July 1920 as USS Branch (DD 197) for the US Navy, on 8 Oct, 1940 she was transferred to the Royal Navy and renamed HMS Beverley (H 64).
• On 9 Apr, 1943, during WWII convoy duty in the North Atlantic, HMS Beverley had been seriously damaged in a collision with the British steam merchant Cairnvalona and had taken station in the rear of the convoy. When it was subsequenty attaced by a German U-Boat, U-188, 30 hours later she was hit by torpedos and sunk. HMS Clover (K 134) (Lt P.H. Grieves, RNR) later picked up five survivors and recovered two bodies, but one of the survivors later died on board.

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• HMS Fencer (D64)
• The USS Croatan (CVE-14) (originally AVG-14 then ACV-14) was transferred to the United Kingdom on 20 February 1943 under lend-lease where she served as HMS Fencer (D64). As an anti-submarine warfare carrier, Fencer escorted Atlantic, Russian and African convoys, even participating in a strike on the German battleship Tirpitz before being transferred to the Pacific.
• Following World War II, she returned to the United States 21 December 1946, stricken for disposal on 28 January 1947 and sold into merchant service 30 December as Sydney.
• The ship went through a series of renamings, first to Roma in 1967, then Galaxy Queen in 1970, Lady Dina in 1972 and finally Caribia in 1973 before being scrapped in Spezia in September 1975.

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• HMS Scorpion (D64)
• HMS Scorpion (D64) was a Weapon-class destroyer of the British Royal Navy. Originally named HMS Centaur, the ship was renamed Tomahawk and finally Scorpion (in September 1943) before her launch.
• Scorpion was the only Weapon-class ship fitted with the Limbo depth charge mortar rather than the older Squid.
• In 1953 she took part in the Fleet Review to celebrate the Coronation of Queen Elizabeth II.

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• HMS Theseus (R64)
• HMS Theseus (R64) was a Colossus-class light fleet aircraft carrier of the Royal Navy, launched on 6 July 1944.
• Theseus was laid down to serve in the Second World War, but was not completed before peace was declared in 1945. She was utilized as a training vessel until the outbreak of the Korean War when she was deployed to Korea, commencing standard carrier operations.
• In 1956, Theseus was used as an emergency commando carrier, along with her sister-ship Ocean, during the Suez Crisis. From November to December, helicopters from Theseus transported troops ashore, as well as evacuating wounded soldiers. Compared to her actions during the Korean War, her role at Suez was relatively quiet. The following year she was placed in reserve. She was subsequently broken up at Inverkeithing in 1962.

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• USS Wisconsin (BB-64)
• The USS Wisconsin (BB-64), “Wisky” or “WisKy”, is an Iowa-class battleship, the second ship of the United States Navy to be named in honor of the U.S. state of Wisconsin. She was launched on 7 December 1943 (the second anniversary of the Pearl Harbor raid).
• During her career, Wisconsin served in the Pacific Theater of World War II, where she shelled Japanese fortifications and screened United States aircraft carriers as they conducted air raids against enemy positions.
• During the Korean War, Wisconsin shelled North Korean targets in support of United Nations and South Korean ground operations, after which she was decommissioned.
• She was reactivated 1 August 1986, modernised and participated in Operation Desert Storm in January and February 1991.
• Wisconsin was last decommissioned in September 1991, having earned a total of six battle stars for service in World War II and Korea, as well as a Navy Unit Commendation for service during the January/February 1991 Gulf War.
• She currently functions as a museum ship operated by Nauticus, The National Maritime Center in Norfolk, Virginia. .

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• USS Constellation (CV-64)
• The USS Constellation (CV-64), a Kitty Hawk–class supercarrier, was the third ship of the United States Navy to be named in honor of the “new constellation of stars” on the flag of the United States and the only naval vessel ever authorized to display red, white, and blue designation numbers.
• One of the fastest ships in the Navy, as proven by her victory during a battlegroup race held in 1985, she was nicknamed “Connie” by her crew and officially as “America’s Flagship”.
• She was launched 8 October 1960 and delivered to the Navy 1 October 1961, and commissioned 27 October 1961, with Captain T. J. Walker in command. At that time, she had cost about US\$264.5 million. Constellation was the last U.S. aircraft carrier (as of 2010) to be built at a yard other than Newport News Shipbuilding & Drydock Company.

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• USS Gettysburg (CG-64)
• The USS Gettysburg (CG-64) is a Ticonderoga-class guided-missile cruiser in the United States Navy, built at the Bath Iron Works in Maine and named for the Battle of Gettysburg during the American Civil War.
• With her guided missiles and rapid-fire cannons, she is capable of facing and defeating threats in the air, on the sea, or ashore, and underneath the sea. She also carries two Seahawk LAMPS multi-purpose helicopters, but mainly for anti-submarine warfare (ASW).
• She is based in Mayport, Florida.

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• U-64
• The first U-64 was a Type U-63 class submarine in the Kaiserliche Marine that served during World War I. She was built in 1916 and served in the Mediterranean Sea.
• On 19 March 1917, while on patrol in the Tyrrhenian Sea, U-64 torpedoed and sank the French battleship Danton 30 miles south of Sardinia, with the loss of 296 men. She herself was lost on 17 June 1918.

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• In 1937 another German submarine U-64, a Type IXB U-boat of the Nazi German Kriegsmarine, was ordered in July 1937 and launched in September 1939.
• This U-64 had a very short career and sank no enemy vessels. Having left her home port of Wilhelmshaven for her first war patrol on 6 April 1940, she was intercepted by Allied aircraft seven days later off the coast of Norway during the invasion of that country and was sunk by a bomb from a Fairey Swordfish aircraft of HMS Warspite. Of her crew of 46, eight men died and 38 escaped from the sinking submarine.

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• K-64
• The K-64 Designation was first given to the first Alfa Class Submarine, launched on April 22, 1969.
• In 1972, the submarine suffered a major reactor problem in the form of a leak of liquid metal coolant. The superheated metal solidified on contact with the colder outside air, freezing and damaging internal components of the reactor. She was removed from service and towed to Severodvinsk.
• The K-64 designation was again given to a Delta IV class submarine launched on February 2, 1986 as the fourth ship of its class, entered in service in the Russian Northern Fleet. The sub was laid down in December 1982 and was built at Sevmash plant in Severodvinsk.
• This ship is still in active service.

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• P-64
• P-64 was the designation assigned by the United States Army Air Corps (USAAC) to the North American Aviation NA-68 fighter, an upgraded variant of the NA-50 developed during the late 1930s.
• Six NA-68s ordered by the Royal Thai Air Force were seized before export by the US government in 1941, after the Franco-Thai War and growing ties between Thailand and the Empire of Japan. These aircraft were used by the USAAC as unarmed fighter trainers.
• Seven NA-50s were purchased by the Peruvian Air Force, which nicknamed it Torito (“Little Bull”). The Peruvian NA-50s subsequently saw action during the Ecuadorian-Peruvian War of 1941.

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• The Grumman G-64/111 Albatross
• The Albatross is easily the largest of Grumman’s series of utility amphibians, and was the only one originally developed specifically for military service.
• The Albatross resulted from a late 1940s US Navy requirement for a general purpose amphibious transport. The first Albatross prototype flew for the first time on October 24 1947, with more than 400 production HU-16s subsequently delivered to the US Navy, US Coast Guard and 12 other nations. Military Albatross missions included general reconnaissance, maritime patrol, anti submarine warfare (in which role it could be armed with torpedoes and depth charges) and search and rescue.
• In the late 1970s, Grumman and major US flying boat operator Resorts International began work on a program to convert the Albatross for civil airline service. The conversion incorporated numerous changes to the basic Albatross, including a 28 seat passenger interior, a galley and provision for a flight attendant, upgraded avionics and other improved systems.
• In all only 13 aircraft were converted, 12 for Resorts International, and 1 for Conoco Oil/Pelita which operated from Singapore. Several of these are still active, together with ex military examples.

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• AH-64 Apache
• The Boeing AH-64 Apache is a four-blade, twin-engine attack helicopter with a tailwheel-type landing gear arrangement, and a tandem cockpit for a two-man crew.
• Originally, the Apache started life as the Model 77 developed by Hughes Helicopters for the United States Army’s Advanced Attack Helicopter program to replace the AH-1 Cobra, and was first flown on 30 September 1975.
• The AH-64 was introduced to U.S. Army service in April 1986.
• The AH-64 Apache features a nose-mounted sensor suite for target acquisition and night vision systems; is armed with a 30-millimeter (1.2 in) M230 Chain Gun carried between the main landing gear, under the aircraft’s forward fuselage; and has four hardpoints mounted on stub-wing pylons, typically carrying a mixture of AGM-114 Hellfire missiles and Hydra 70 rocket pods. The AH-64 has a large amount of systems redundancy to improve combat survivability.
• The first production AH-64D Apache Longbow, an upgraded version of the original Apache, was delivered to the Army in March 1997. Production has been continued by Boeing Defense, Space & Security; over 1,000 AH-64s have been produced to date.
• The U.S. Army is the primary operator of the AH-64; it has also become the primary attack helicopter of multiple nations, including Greece, Japan, Israel, the Netherlands and Singapore; as well as being produced under license in the United Kingdom as the AgustaWestland Apache. U.S. AH-64s have served in conflicts in Panama, the Persian Gulf, Kosovo, Afghanistan, and Iraq. Israel used the Apache in its military conflicts in Lebanon and the Gaza Strip; both British and U.S. Apaches have seen deployments in Afghanistan and Iraq.

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• Sikorsky S-64 Skycrane
• The Sikorsky S-64 Skycrane is an American twin-engine heavy-lift helicopter, the civil version of the United States Army’s CH-54 Tarhe. The S-64 Aircrane is the current production version, manufactured by the Erickson Air-Crane company.
• Erickson Air-Crane purchased the type certificate and manufacturing rights in 1992 and since that date they have become the manufacturer and world’s largest operator of S-64 Aircranes. The Aircrane can be fitted with a 2,650-gallon (~10,000 litre) fixed retardant tank to assist in the control of bush fires, and it has proved itself admirably in this role.
• Erickson is manufacturing new S-64s, as well as remanufacturing existing CH-54s, with each being assigned an individual name, the best-known being “Elvis”, used in fighting fires in Australia alongside “The Incredible Hulk” and “Isabelle”.
• Other operators, such as Siller Brothers, have followed with their Sikorsky S-64E, Andy’s Pride. The Erickson S-64E nicknamed “Olga” was used to lift the top section of the CN Tower into place in Toronto, Canada.
• The S-64 is the first helicopter built with a rear-facing pilot’s seat—this allows the pilot to watch exactly where the load is being placed as he’s flying the helicopter. The feature came in handy in 1993, when an S-64 removed and replaced the Statue of Freedom from the US Capitol building during a renovation. When transporting a big load like that, the S-64 uses an anti-rotation rigging system that prevents the aircraft from twisting and swaying.

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• T-64
• The T-64 is a Soviet main battle tank, introduced in the early 1960s. It was a more advanced counterpart to the T-62: the T-64 served tank divisions, while the T-62 supported infantry in motor rifle divisions. Although the T-62 and the famed T-72 would see much wider use and generally more development, it was the T-64 that formed the basis of more modern Soviet tank designs like the T-80.

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• The W64 nuclear warhead was the Los Alamos Laboratory’s entry into a brief competition between Lawrence Livermore Laboratory and Los Alamos to design an “enhanced-radiation” nuclear warhead (i.e., a “neutron bomb”) for the United States Army’s MGM-52 Lance tactical surface-to-surface missile.
• The Los Alamos design, the W64, was canceled in September 1964 in favor of Livermore’s W63. In November 1966, the W63 was canceled in favor of the W70, the model that finally entered production.

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• L64
• The L64 was an intermediate calibre British bullpup layout prototype assault rifle developed in the 1970s. The British Army had considered bullpup designs with intermediate calibre rounds in the 1950s, and officially adopted one of these as .280 British in 1951 in the EM-2 and Taden gun. However, US intransigence during NATO standardization efforts, and Winston Churchill’s interest in standards above all, led to the adoption of the significantly more powerful 7.62×51mm NATO round and the British and Canadian armies adopted the L1A1 SLR, a licensed version of the FN FAL, itself originally designed for the .280.
• In the late 1960s a new L64/65 “Individual Weapon” was developed, outwardly similar to the earlier EM-2, but adopted a firing mechanism very similar to ArmaLite’s latest AR-18 design. The first examples were available in 1972.
• By 1976, NATO was ready to standardize on a small calibre round, and testing of the various rounds head-to-head started in 1977. As designed, the British round out-performed the standard US 5.56 mm. However Fabrique Nationale’s entry based on the 5.56 mm, the “SS-109” performed as well as the British cartridge. In the end it was selected largely due to its similarity with existing US ammunition.
• The L64 pattern was later developed into the SA80 family of weapons, which entered service with the UK in the 1980s.

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• P-64 Pistol
• The P-64 is a Polish 9mm semi-automatic pistol designed to fire the 9x18mm Makarov cartridge. The pistol was developed in the late 1950s at the Institute for Artillery Research, which later became the Military Institute of Armament Technology.

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In other fields

• Cities situated on longtitude 64 degree west are:  Charlotte Amalie,  US Virgin Islands; Hamilton,  Bermuda; Road Town,  British Virgin Islands; and Córdoba, Argentina.
• Cities situated on latitude 64 north are:  Fairbanks, Alaska; Skellefteå, Sweden; Anadyr and Arkhangelsk, Russia; Nuuk (Godthåb), Greenland; and Reykjavík, Iceland.
• There are 64 gems in total number in a standard Bejeweled game board.
• 64 is the code for international direct dial calls to New Zealand.
• There are 64 Braille characters in the old 6-dot system.
• Since 1996, the number 64 has been an abbreviation or slang for Nintendo 64 (though N64 is more common) along with the games Super Mario 64, Mario Kart 64 and more.

• 64 is the maximum number of strokes in any Chinese character.
• There are 64 hexagrams in the I Ching.
• There are 64 sexual positions in the Kama Sutra.
• There are 64 demons in the Dictionnaire Infernal.
• There are 64 classical arts listed in many Indian scriptures. They include: singing, dancing, painting, poetry, playing cards, making arguments, making flower garlands, etc.
• The 64th French department is Pyrénées-Atlantiques.
• Unsurprisingly it is the number of crayons in the popular Crayola 64 pack.
• 64 is the maximum stack size in the popular game Minecraft.
• 64 (dog) is a character in the Donald Duck comics universe.
• Number of golden disks in the myth of the Tower of Hanoi.
• The S64-1.25 MW has a well-suited ratio of rotor diameter to generator for most sites in a medium wind speed regime. The wind turbine concept is based on robust design and is efficiently handled by the Suzlon controller. These technologies are all well-known in the wind power industry and have proven themselves over time.

• PARALOID B-64 solid grade acrylic resin provides an outstanding combination of hardness, flexibility, and adhesion to various substrates. This general-purpose resin permits wider latitude in formulating in solvents that are suitable for specific applications.
• Group f/64 was a group of seven 20th century San Francisco photographers who shared a common photographic style characterized by sharp-focused and carefully framed images seen through a particularly Western (U.S.) viewpoint. In part, they formed in opposition to the Pictorialist photographic style that had dominated much of the early 20th century, but moreover they wanted to promote a new Modernist aesthetic that was based on precisely exposed images of natural forms and found objects.
• 64 is the slang term referring to a 1964 Chevrolet Impala, often configured as a lowrider, a popular subject among early-90’s gangsta rap.

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# Significant Number Factoid Friday – Today Number Six 6

“Fight Against Stupidity And Bureaucracy”

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By special request, today’s significant number is the number six. My thanks to John in Australia for the suggestion, turns out it was a very interesting choice. So let’s get started. Enjoy.

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## The Number Six  6

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In religion

• Chapter One of Genesis, the first book in the Old Testament, tells us that the Creation was done over a six day period, and that man was created on day number 6. Moreover, six days were appointed to man for his labor, while one day is associated in sovereignty with the Lord God, as His rest.
• The serpent also was created on the sixth day.
• The Sixth Commandment relates to the worst sin – murder.
• The sixth clause of the Lord’s prayer treats of sin.
• There are six points on a Star of David.
• There are six Orders of the Mishnah.
• Six symbolic foods are placed on the Passover Seder Plate.
• The Jewish holiday of Shavuot starts on the sixth day of the Hebrew month of Sivan.

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• In Islam there are Six articles of belief
• Fasting six days of Shawwal, together with the month of Ramadan, is equivalent to fasting the whole year

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• In Hindu theology, a trasarenu is the combination of 6 celestial paramanus (atoms)

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In mathematics

• Six is the first number which is neither a square number nor a prime number.
• Six is the largest of the four all-Harshad numbers.
• There are six basic trigonometric functions.
• A cube has six faces.

• A hexagon is a regular polygon with six sides.
• A hexahedron is a polyhedron with six faces, with a cube being a special case.
• S6, with 720 elements, is the only finite symmetric group which has an outer automorphism. This automorphism allows us to construct a number of exceptional mathematical objects such as the S(5,6,12) Steiner system, the projective plane of order 4 and the Hoffman-Singleton graph.
• Six similar coins can be arranged around a central coin of the same radius so that each coin makes contact with the central one (and touches both its neighbors without a gap), but seven cannot be so arranged. This makes 6 the answer to the two-dimensional kissing number problem. The densest sphere packing of the plane is obtained by extending this pattern to the hexagonal lattice in which each circle touches just six others.

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In science

• Six is the atomic number of carbon.
• A benzene molecule has a ring of six carbon atoms.
• The prefix “hexa-“ (Greek word for ‘six’) also occurs in the systematic name of many chemical compounds, such as “hexamethyl”.
• A hexamer is an oligomer made of six sub-units.
• Adenine is one of four bases that code for all life in deoxyribonucleic acid. Adenine’s molecular structure is based on a hexagonal ring bonded to a pentagonal ring.

• In the Standard Model of particle physics, there are six types of quark and six types of lepton.
• In statistical mechanics, the six-vertex model has six possible configurations of arrows at each vertex.
• The six-fold symmetry of snowflakes arises from the hexagonal crystal structure of ordinary ice.
• People with sexdactyly have six fingers on each hand.

• Six babies delivered in one birth are sextuplets.
• There are six tastes in traditional Indian Medicine called Ayurveda: sweet, sour, salty, bitter, pungent, and astringent. These tastes are used to suggest a diet based on the symptoms of the body.
• Phase 6 is one of six pandemic influenza phases.
• The cells of a beehive honeycomb are 6-sided.

• Insects have 6 legs.
• The measuring instrument called a sextant got its name because its shape forms one-sixth of a whole circle.

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In space

• The New General Catalogue object NGC 6 is a spiral galaxy in the constellation Andromeda.
• Messier object M6, a magnitude 4.5 open cluster in the constellation Scorpius, also known as the Butterfly Cluster.
• The gaseous planet Saturn has hexagonal clouds on its north pole discovered by Voyager 1 in 1977 and verified again in 2006 by the Cassini spacecraft, meaning this hexagon is a persistent structure on the scale of a planet.

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• Apollo 6
• Apollo 6, the final unmanned mission of the United States Apollo Program, was launched on April 4, 1968. It was an A type mission and the second test flight for the Saturn V launch vehicle, intended to demonstrate full lunar injection capability of the Saturn V with a nearly full simulated payload, and also the capability of the Command Module’s heat shield to withstand a lunar-speed re-entry.
• The mission was not designed to go to the moon, but merely to achieve a trans-lunar speed toward an imaginary point in space nowhere near the moon, then turn around and return in about 10 hours.
• However, fuel line failures in several Saturn V second and third stage engines prevented it from achieving lunar injection, but it was able to get close to lunar return velocity by using the Apollo spacecraft’s engine, as was done on Apollo 4, the first Saturn V test. Despite the engine failures, the flight nonetheless provided NASA with enough confidence in the Saturn V to use it for manned launches.
• Launch video

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In politics

• Massachusetts was sixth to receive statehood on, Wednesday, February 6, 1788.
• The Sixth Amendment (Amendment VI) to the United States Constitution is the part of the United States Bill of Rights that sets forth rights related to criminal prosecutions. The Supreme Court has applied the protections of this amendment to the states through the Due Process Clause of the Fourteenth Amendment.
• The sixth President of the United States of America was John Quincy Adams (1767–1848) who served from March 4, 1825 to March 4, 1829. His V.P. Was John C. Calhoun.

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• The sixth Prime Minister of Australia was Sir Joseph Cook, (7 December 1860 – 30 July 1947). A coal miner from Silverdale, Staffordshire, Cook emigrated to Lithgow, New South Wales during the late 1880s, and became General-Secretary of the Western Miners Association in 1887.
• He was a founding member of the Australian Labor Party, and was elected to the New South Wales Legislative Assembly as Member for Hartley in 1891.
• Later Cook switched to the Free Trade Party, and was a minister in the cabinet of Premier George Reid from 1894 to 1899. During Australia’s first federal election in 1901, Cook was elected unopposed to the federal seat of Parramatta, and served as the deputy to Reid, then Alfred Deakin, following the creation of the Commonwealth Liberal Party from Cook’s and Deakin’s parties.
• As leader of the Liberal Party, Cook became Prime Minister following the 1913 elections; but he only had a one-seat majority in the lower house and no majority at all in the upper house, so he repeatedly sought to obtain a double dissolution. The outbreak of World War I just before the September 1914 election led to a Labor victory. Following a split in the Labor party in 1916, Cook joined William Morris Hughes’ Nationalist Party of Australia, and following the Nationalist victory in the 1917 election, served as Minister for the Navy, then Treasurer under Hughes.
• In 1921 Cook resigned from the federal parliament, and was appointed Australian High Commissioner in London. During 1928 and 1929, he headed the Royal Commission into South Australia as affected by Federation. He died in Sydney in 1947.

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• Australia has six states, Queensland (capital, Brisbane); New South Wales (capital, Sydney); Victoria (capital, Melbourne); Tasmania (capital, Hobart);        South Australia (capital, Adelaide); and Western Australia (capital, Perth). The Northern Territory (capital, Darwin), as the name implies, is classed as a ‘territory’, not a ‘state’.

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• The ‘Six Counties’ is a term used to describe Northern Ireland which consists of the six north-eastern counties of the island of Ireland. It was created when Ireland was partitioned in 1921.  After a campaign of terrorism, murder and bombing lasting almost thirty years the London government (of first Conservative John Major and later Labour Tony Blair) along with the Clinton administration brought about a ‘peace’ agreement that saw terrorists installed as part of the Northern Ireland government in Belfast. This was done during the 1990s and pre the 9/11 terrorists attacks on New York when Americans got first hand experience of what terrorism was all about. It is questionable if a post 9/11 American administration would have been so keen to participate in appeasing terrorism.

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In sport

• The National Basketball Association and National Hockey League have six divisions.
• The Original Six teams in the National Hockey League are Toronto, Chicago, Montreal, New York, Boston, and Detroit. They are the oldest remaining teams in the league, though not necessarily the first six; they comprised the entire league from 1942 to 1967.
• In American college football, there are six conferences that automatically qualify for Bowl Championship Series games.
• Six-man football is a variant of American or Canadian football, played by smaller schools with insufficient enrollment to field the traditional 11-man (American) or 12-man (Canadian) squad.
• In a football (soccer) game each side is allowed a maximum of three substitutes, making six in all.
• In ice hockey, six is the number of players per team, including the goaltender, that are on the ice at any one time, excluding penalty situations.
• In volleyball, six players from each team on each side play against each other.
• In some sports, six goals is known as a double-hat-trick, but is very hard to accomplish. A hat-trick in sport is the achievement of a positive feat three times or more during a game, or other achievements based on threes. The term was first used in 1858 in cricket to describe H H Stephenson’s feat of taking three wickets in three balls. A collection was held for Stephenson, and he was presented with a hat bought with the proceeds. The term was used in print for the first time in 1878 and was eventually adopted by many other sports including association football, water polo, and team handball, but did not become popular in North America until the mid-1940s in the National Hockey League.
• In American and Canadian football, a touchdown earns 6 points.
• In Australian Rules football, six points are received for a goal.
• In cricket there are six balls to an over, and a “six” or “sixer” is a shot in which the ball clears the boundary without bouncing, scoring six runs.
• In rugby union, the starting blindside flanker wears jersey number 6. (Some teams use “left” and “right” flankers instead of “openside” and “blindside”, with 6 being worn by the starting left flanker.)
• In most rugby league competitions (but not the European Super League, which uses static squad numbering), the jersey number 6 is worn by the starting stand-off half (Southern Hemisphere term) or five-eighth (Northern Hemisphere term).
• In football (soccer) AC Milan retired shirt number 6 belonging to their legendary center back and captain Franco Baresi in 1997.

• In Britain, Arsenal retired the number 6 shirt after their long serving center back and captain Tony Adams retired in 2002.

• In Major League Baseball: the Atlanta Braves, for manager Bobby Cox; the Boston Red Sox, for Johnny Pesky; the Detroit Tigers, for Hall of Famer Al Kaline; the Minnesota Twins, for Tony Oliva; the St. Louis Cardinals, for Hall of Famer Stan Musial; the San Diego Padres, for Steve Garvey.
• In the NBA: the Boston Celtics, for Hall of Famer Bill Russell; the Orlando Magic, for their fans (the “sixth man”); the Philadelphia 76ers, for Hall of Famer Julius Erving; the Phoenix Suns, for Walter Davis; the Sacramento Kings, also for their fans.
• In the NFL: the Kansas City Chiefs, for Warren McVea.
• In the NHL: the Detroit Red Wings, for Larry Aurie; the Pittsburgh Penguins, for Ian Ackerman; the Toronto Maple Leafs, for Hall of Famer Ace Bailey (the Leafs have a unique policy of not retiring numbers unless the player honored either died or suffered a career-ending incident while a member of the team. Bailey suffered a fractured skull during a game in 1933; while he recovered and lived for nearly 60 years after the incident, he never played again. The Leafs would issue the number to Ron Ellis in 1968 at Bailey’s personal request, and Ellis wore it until his own retirement in 1981.)
• In NASCAR, the number 6 is currently owned by Roush Fenway Racing. Since the 2007 season, the first year in which Roush Racing was merged with the Fenway Sports Group that owns the Boston Red Sox, the Cup Series version of the car has been driven by David Ragan. From 1988 to 2006, Mark Martin drove the #6 in the Cup Series for what was then Roush Racing.

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Cars and Bikes

• Yamaha YZF R6
• The Yamaha YZF R6 is a super sports bike, motorcycle manufactured by Yamaha Motor Company. The Yamaha comes with many sports bikes that are Yamaha R1, Yamaha FZ8, Yamaha R15 and Yamaha Vmax, Yamaha MT01 and more. The Yamaha YZF R6 is the one of the most advanced production in the 600cc segment from Yamaha. The Yamaha, bike manufacturer is flourishing in the Indian Market with the most stylish and delivers the best and advanced technology in India.

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• Audi S6
• Easily distinguishable by the row of LED running lights that graces both sides of its front bumper, Audi’s sport-inspired version of its A6 executive saloon, the S6, has much more than visual cues to separate it from its little brothers. This four-door, five-passenger luxury sport sedan comes standard with the six-speed Tiptronic automatic transmission with steering-wheel-mounted paddle shifters, Audi’s quattro AWD and a 435-hp, 5.2-liter V10 designed by Lamborghini.

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• Mercedes 600
• During the resurgence of Germany from the rubble of WWII, after a tough post-war German automotive industry was recovering, and it was there that Mercedes Benz proposed making the car better representation of the world, whatever the cost. Work began in 1955 and after eight years of development the result was the Mercedes 600, also known as der Großer Mercedes, a car totally superlative in all respects. This was the car of choice of Presidents, Popes, dictators and billionaires.

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In books, music, television & movies

• Six Graves to Munich by Mario Gianluigi Puzo, perhaps better known for his novels about the Mafia, including The Godfather (1969), which he later co-adapted into a film by Francis Ford Coppola.
•  Six Days Of The Condor, a thriller novel by James Grady first published in 1974 by W.W. Norton, is a suspense drama set in contemporary Washington, D.C., and is considerably different from the 1975 film version, Three Days of the Condor starring Robert Redford and Faye Dunaway. It was followed by a second novel by Grady titled Shadow of the Condor, released in 1978.

• Hexameter is a poetic form consisting of six metrical feet per line.
• Six Degrees of Separation is a movie about an affluent New York couple find their lives touched, intruded upon, and compelled by a mysterious young black man who is never quite who he says he is.
• Six Days Seven Nights is a movie starring Harrison Ford and Anne Heche.  Robin Monroe, a New York magazine editor, and the gruff pilot Quinn Harris must put aside their mutual dislike if they are to survive after crash landing on a deserted South Seas island.
• Six Days in June is a documentary about the Six Day War.
• Sixth Sense starring Bruce Willis is a movie about a boy who communicates with spirits that don’t know they’re dead seeks the help of a disheartened child psychologist.

• Number 6 (Teresa Palmer) is a character in the movie I Am Number Four (2011).
• The Six Million Dollar Man, was an extremely popular sci-fi television series from the 1970s about former astronaut Steve Austin  crippled in an airplane crash but rebuilt using bionic components that gave him super-human strength and speed.

• The Bionic Six are the heroes of the eponymous animated series.
• A group of six musicians is called a sextet.
• There are 6 semitones in a tritone.
• A standard guitar has 6 strings.
• Most woodwind instruments have 6 basic holes or keys (e.g., bassoon, clarinet, pennywhistle, saxophone); these holes or keys are usually not given numbers or letters in the fingering charts.
• Les Six (“The Six” in English) was a group consisting of the French composers Georges Auric, Louis Durey, Arthur Honegger, Darius Milhaud, Francis Poulenc and Germaine Tailleferre in the 1920s.
• Bands with the number six in their name include Six Organs of Admittance, 6 O’clock Saints, Electric Six, Eve 6, Los Xey (sei is Basque for “six”), Out On Blue Six, Six In Six, Sixpence None the Richer, Slant 6, Vanity 6, and You Me At Six.
• #6 is the pseudonym of American musician Shawn Crahan, when performing with the band Slipknot.
• “Six geese a-laying” were given as a present on the sixth day in the popular Christmas carol, “The Twelve Days of Christmas”.
• The concerti grossi Opus 3, organ concertos Opus 4 and Opus 7 (each) by Georg Frideric Handel.
• The sixth album by Dream Theater, Six Degrees Of Inner Turbulence, was based around the number six: the album has six songs, and the sixth song — that is, the complete second disc — explores the stories of six individuals suffering from various mental illnesses.
• Six is the second album by Mansun released in 1998. It takes its name in part from the main character in the television series The Prisoner, and from A. A. Milne’s poetry book, Now We Are Six.
• Patrick McGoohan played prisoner number 6 in the mysterious British television series called The Prisoner, catchphrase “I am a man, I am not a number”.

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In militaria

• Carrier Air Wing Six
• Carrier Air Wing Six (CVW-6) was a United States Navy aircraft carrier air wing whose operational history spans from the years prior to World War II to the end of the Cold War, including participating in the Battle of Midway, the Battle of the Eastern Solomons, and the Vietnam War.
• When the unit was named “Air Group Six” during its time on the Enterprise, it was the Navy’s only carrier-based air group to carry out three complete tours of duty during World War II.
• It was based on 15 different carriers during its operational lifetime. The lineage of Carrier Air Wing Six can be traced to the Enterprise Air Group, created on 1 July 1938, which included the following squadrons and aircraft:
• Bombing Six (VB-6) — 18 Douglas SBD-2 Dauntless dive bombers
• Fighting Six (VF-6) — 18 Grumman F4F-3 Wildcat fighter
• Scouting Six (VS-6) — 18 Douglas SBD-2 Dauntless dive bomber
• Torpedo Six (VT-6) — 18 Douglas TBD Devastator torpedo bomber

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• Douglas DC-6
• The Douglas DC-6 is a piston-powered airliner and transport aircraft built by the Douglas Aircraft Company from 1946 to 1958. Originally intended as a military transport near the end of World War II, it was reworked after the war to compete with the Lockheed Constellation in the long-range commercial transport market.
• More than 700 were built and many still fly today in cargo, military and wildfire control roles.
• The DC-6 was known as the C-118 Liftmaster in United States Air Force service and as the R6D in United States Navy service prior to 1962, after which all U.S. Navy variants were also designated as the C-118.

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• Shenyang F-6
• The F-6 was a Chinese copy of the MiG-19S Farmer-C cannon-armed day fighter. From the late 1960s to the final batch in 1971, a total of more than 70 F-6s were reported delivered, equipping six squadrons at 3 bases, for both interceptor and attack duties. Some of the 1971 batch were late production F-6C version, featuring a prominent braking parachute housing at the base of the rudder.
• A few FT-6 two-seat trainers also appear to have been supplied. The FT-6 wasn’t certified for production until December 1973, so these examples must have been delivered after this date. It is also reported that 4 F-6 aircraft are fitted with ventral cameras for the reconnaissance role – whether these are export versions of the JZ-6 or local conversions is not known.

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• Beechcraft T-6 Texan II
• Developed from the Pilatus PC-9, the Beechcraft T-6 Texan II is a single-engined turboprop aircraft built by the Raytheon Aircraft Company (now Hawker Beechcraft). The T-6 is used by the United States Air Force for basic pilot training and by the United States Navy for Primary and Intermediate Joint Naval Flight Officer (NFO) and Air Force Combat Systems Officer (CSO) training. It has replaced the Air Force’s T-37B Tweet and is replacing the Navy’s T-34C Turbo Mentor.
• The T-6A is also used as a basic trainer by the Royal Canadian Air Force (CT-156 Harvard II), the German Air Force, the Greek Air Force, the Israeli Air Force (Efroni), and the Iraqi Air Force.

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• AT-6
• As well as being an initial trainer, the multirole Hawker Beechcraft AT-6 is capable of performing missions including: net-centric ISR with the ability for precise geo-registration, streaming video and datalinks, light attack including combat search and rescue (CSAR), close air support, forward air control and convoy escort, homeland defense (border security), port security, counter-narcotics operations and civil missions such as disaster area reconnaissance, search and rescue and firefighting. There are tandem HOTAS (hands on throttle and stick) controls fore and aft for pilot and instructor.
• Hawker Beechcraft showcased the AT-6 at the Royal International Air Tattoo and Farnborough International Airshow in the UK in 2010.

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• Fiat L6/40
• The Fiat L6/40 was a light tank used by the Italian army from 1940 and on through World War II. It was designed by Fiat-Ansaldo as an export product, and was adopted by the Italian Army when officials learned of the design and expressed interest. It was the main tank employed by the Italian forces fighting on the Eastern Front alongside the L6/40-based Semovente 47/32 self-propelled gun. L6/40s were also used in the North African campaign.
• The official Italian designation was Carro Armato (“armored tank”) L 6/40. This designation is understood as follows: “L” for Leggero (Italian: “light”), followed by the weight in tons (6) and the year of adoption (1940).

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• Ordnance QF 6 pounder
• The Ordnance Quick-Firing 6-pounder 7 cwt, or just 6 pounder, was a British 57 mm gun, their primary anti-tank gun during the middle of World War II, as well as the main armament for a number of armoured fighting vehicles.
• It was first used in North Africa in April 1942, and quickly replaced the 2 pounder in the anti-tank role, allowing the 25 pounder to revert to its intended artillery role.
• The United States Army also adopted the 6 pounder as their primary anti-tank gun under the designation 57 mm Gun M1.

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• The Six Gun
• Whilst not actually a firearm as such, the term ‘six gun’ or ‘six shooter’ is a general, if inaccurate, description of a revolver. The original name came from the fact that the majority of the early revolvers had a cylindrical bullet magazine that held six rounds of ammunition.

• However, modern revolvers come in a variety of capacities including 5 round, 6 round, 8 round and 10 round. An example being the Smith & Wesson Model 617 is a 10 round capacity .22LR revolver shown below.

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Six Million

• The Holocaust, also known by the Biblical word Shoah (which means calamity), was the mass murder or genocide of approximately six million Jews during World War II. Led by Adolf Hitler and the Nazi Party, it was part of a program of systematic state-sponsored murder by Nazi Germany throughout German-occupied territory.
• Of the nine million Jews who had resided in Europe before the Holocaust, approximately two-thirds were killed. Over one million Jewish children were killed in the Holocaust, as were approximately two million Jewish women and three million Jewish men.
• Some scholars argue that the mass murder of the Romani and people with disabilities should be included in the definition, and some use the term “holocaust” to describe other mass murders, including those of Soviet prisoners of war, Polish and Soviet civilians, and homosexuals. Recent estimates based on figures obtained since the fall of the Soviet Union indicates some ten to eleven million civilians and prisoners of war were intentionally murdered by the Nazi regime.
• The persecution and genocide were carried out in stages. Various laws to remove the Jews from civil society, most prominently the Nuremberg Laws, were enacted in Germany years before the outbreak of World War II. Concentration camps were established in which inmates were subjected to slave labor until they died of exhaustion or disease. Where Germany conquered new territory in eastern Europe, specialized units called Einsatzgruppen murdered Jews and political opponents in mass shootings. The occupiers required Jews and Romani to be confined in overcrowded ghettos before being transported by freight train to extermination camps where, if they survived the journey, most were systematically killed in gas chambers. Every arm of Germany’s bureaucracy was involved in the logistics that led to the genocides, turning the Third Reich into what one Holocaust scholar has called “a genocidal state”.
• There are numerous Holocaust Memorials throughout the world, including in Jerusalem, Washington, and Berlin, Germany.

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• However, it was not the German Nazis, but the Croatian Ustase who were responsible for some of the most bloody and sadistic crimes carried out against the Orthodox population in Croatia. Some of their crimes so heinous that they even appalled the Nazis.
• The Ustaše committed their deeds in a bestial manner not only against males of conscript age, but especially against helpless old people, women and children. The number of the Orthodox that the Croats massacred and sadistically tortured to death has been estimated at approximately three hundred thousand.
• The legacy of the brutality of this genocidal campaign still affects the political situation in that part of Europe.

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• Think it could never happen again? Don’t be too sure. In 1994 in Rwanda, Africa somewhere in the region of one million people were murdered by the Interahamwe death squads in a genocidal campaign. Local officials assisted in rounding up victims and making suitable places available for their slaughter. Tutsi men, women, children and babies were killed in thousands in schools. They were also killed in churches with the collusion of some clergy. The victims, in their last moments alive, were also faced by another appalling fact, namely that their cold-blooded killers were people they knew – neighbors, work-mates, former friends, sometimes even relatives through marriage.

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Finally, other stuff

• There are said to be no more than ‘six degrees of separation’ between any two people on Earth.
• Extra-sensory perception is sometimes called the ‘sixth sense’.
• Six Cardinal Directions: north, south, east, west, up, and down.
• The number of sides on a cube, hence the highest number on a standard die.
• The highest number on one end of a standard domino.
• ‘Six’ is used as an informal slang term for the British Secret Intelligence Service, MI6, the one Ian Fleming’s fictious character James Bond works for.
• Six is the number of cans of soda or beer in a ‘six-pack’.
• A ‘six pack’ refers to the appearance of well developed stomach muscles.
• The term ‘six pack’ also refers to the number of fundamental flight instruments lumped together on a cockpit display.
• ‘Six Flags’ is the name of a series of amusement parks and theme parks.

• ‘Six of the best’ is a slang term for corporal punishment particularly in schools where the offending pupil was given six slaps with a cane.
• A ‘sixer’ is the name of the leader of the smallest group of Cub Scouts, traditionally consisting of six people.
• Six is the number of feet below ground level where a coffin is traditionally buried, thus also leading to the phrase ‘six feet under’ meaning that a person, or thing, or concept is dead.
• In the ancient Roman calendar, Sextilis was the sixth month. After the Julian reform, June became the sixth month and Sextilis was renamed August.
• Sextidi was the sixth day of the decade in the French Revolutionary calendar.
• ‘L’Hexagone’ is a French nickname for the continental part of Metropolitan France.
• A ‘hex nut’ is a nut with six sides, and a hex bolt has a six-sided head.
• On most phones, the 6 key is associated with the letters M, N, and O, but on the BlackBerry it is the key for J and K, and on the BlackBerry 8700 series and Curve 8900 with full keyboard, it is the key for F.
• The ‘6 meter band’ in amateur radio includes the frequencies from 50 to 54 MHz.
• 6 is the resin identification code used in recycling to identify polystyrene.
• In Astrology, Virgo is the 6th astrological sign of the Zodiac.
• There are six dots in a Braille cell.

• The Six Dynasties form part of Chinese history.
• 6 is a lucky number in Chinese culture.
• The unit of measurement used for the Great Pyramid was the inch and its sexagesimal multiples. The first multiple is the foot, 12 inches (2×6); and after this the rises are 18 (3 x 6), 24 (4×6), 30 (5 x 6), and 36 (6×6 or one yard).
• Natural time-spaces are also based on multiples of six, there are 12 months in a year, a day consists of 24 hours (4 x 6),  hours are 60 minutes (6×10), and minutes made up of 60 seconds (6×10).

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