Monday, May 22, 2023

Triple

Triple (pronounced trip-uhl)

(1) Threefold; consisting of three parts (matching or not).

(2) Of three kinds; threefold in character or relationship.

(3) Three times as great; multiplied by three (numbers or quantities in general).

(4) In international law or international relations, as triple entente, triple alliance etc, a treaty or some state of arrangement between three states.

(5) In baseball (also called the three-base hit), a hit which enables the batter safely to reach third base.

(6) In (ten-pin) bowling, three strikes in succession.

(7) In basketball, a three-point field goal.

(8) In curling, takeout shot in which three stones are removed from play.

(9) In musical time or rhythm, having three beats in each bar

(10) As triple crown, in various sporting competitions (Rugby Union, thoroughbred racing, motor sport et al), a (sometimes informal) acknowledgement of victory in three specific events (use based on the triple crown (sometimes as triple tiara) once used for the coronation of the Roman Catholic Pope).

(11) In internal combustion engines (ICE), an engine with three pistons or rotors.

(12) One of three; a third (obsolete and the source of some misunderstandings when found in historic texts).

(13) In programming theory, as Hoare triple, a description of how the execution of a piece of code changes the state of the computation in Hoare logic, consisting of (1) a command to be run, (2) a pre-condition that holds true beforehand, and (3) a post-condition that holds true afterwards.

(14) In mathematics, a sequence of three elements or 3-tuple.

1325-1375: From the Middle English triple (there was also þripell), from the Old French triple or the Medieval Latin triplare (to triple) from the Latin triplus (threefold, triple), from the primitive Indo-European tréyes.  Triple is a noun, verb & adjective, tripled is a verb, tripling is a noun & verb, triply is an adverb and triplet is a noun; the noun plural is triples.

In English, the Latinate multiplier “triple” is but one of many ways the value three (3) is in some way expressed or applied.  “Three” is the highest value, single digit cardinal number, as an ordinal it’s “third” (the Latinate ordinal is “tertiary”), the adverbial form is “thrice” (or the more mundane “three times”, as a multiplier the term is “threefold” (also as “three-fold”), the distributive is “triply”, the collective “tripartite”, “trio” or “threesome” (ménage à trois a popular variation), the multiuse collective “triplet”, the Greek or Latinate collective “triad”, the collective prefix (from both Latin & Ancient Greek (the latter also had “trito”)) was “tri”, the fractional expression is “third” (the Latinate fractional prefix was “trient-”, the elemental “thrin” & “triplet” and a period of three years is a triennium.  However, while there are weeks, fortnights & months, there’s no accepted term which express a measure of 21 days although three months is often described as “a quarter”.

Boss & Co SxSxS 16-bore triple-barrel shotgun #4690.

Originally an adjective, the noun emerged in the early fifteenth century.  The use in baseball dates from 1880 while the various uses of triple-deck, triple-decker etc (a development of the earlier double-decker) for cakes, sandwiches, bunk-beds etc all came into use in the early 1940s.  Triple-barrel carburetors were rare but did exist, Porsche for example using them on their flat sixes.  Rugby Union in 1883 was the first to use “triple crown”, awarded in the UK to the side which won the three “home countries” (England, Ireland, Scotland & Wales) matches.  That was based on the use of the papal triple crown (sometimes as triple tiara) then used for the coronation of the Roman Catholic Pope and was later picked up in US thoroughbred racing: The Kentucky Derby, the Preakness Stakes, and the Belmont Stakes comprise the Triple Crown which was first officially awarded in 1919 although the term didn’t become widely used until the 1930s.  In motorsport, despite the popular perception, it’s never been an official award and many branches of the sport have their own triple crowns, most barely known outside of the small circle of their cognoscenti.  The three events which comprised the classic triple crown were (1) the Indianapolis 500 (first run in 1911), the 24 Hours of Le Mans (first run in 1923) and the Monaco Grand Prix (first run in 1929) and it’s been achieved only once.  That was by Graham Hill (1929–1975) who completed the set at Le Mans in 1972 and although he and others have suggested the Formula One World Championship should be included instead of the Monaco Grand Prix, the original arrangement seems still the accepted triple crown.

Six-pack: Lindsay Lohan re-imagined as one of identical triplets.

The word is used also as a modifier as required such as triple-barreled (used with three-element surnames and in various manufactured items but best known in shotguns), triple-headed (again widely used but probably still most associated with creatures from mythology, tripledemic (a term used in public health and epidemiology to describe the simultaneous outbreak of three epidemics or pandemics), triple fault (in computing a third (and fatal) error instance in a CPU attempting a graceful recovery from a double fault, triple jump (an athletic (track & field) event involving three different types of jump), triple goddess (a female deity who is either three goddesses in one or one who is triune (both three and one at the same time) and triple X syndrome (a chromosomal variation characterized by the presence of an extra X chromosome in each cell of a human female).

Pope Pius XII (1876-1958; pope 1939-1958) in the papal triple tiara, at his coronation, 1939.

The papal triple tiara is a crown which has been worn by popes of the Roman Catholic Church since the eighth century.  Traditionally it was worn for their coronation but no pontiff has been so crowned since Saint Paul VI (1897-1978; pope 1963-1978) in 1963 and he abandoned its use after the Second Vatican Council (Vatican II, 1962-1965).  The name tiara refers to the entire headgear and it has used a three-tiered form since a third crown was added during the Avignon Papacy (1309–1378).  It's also referred to as the triregnum, triregno or Triple Crown.  In a piece of one- (or perhaps four-) upmanship, Suleiman I (Süleyman the Magnificent, 1494-1566, Sultan of the Ottoman Empire 1520-1566) commissioned from Venice a four tier helmet to show, in addition to the authority claimed by popes, he could add the symbol of his imperial power.  Often put on display as the centrepiece of Ottoman regalia to impress visitors, there's no documentary evidence the sultan ever wore the four layer tiara, crowns not part of the tradition and, fashioned from gold and gemstones, it would anyway have been extraordinarily heavy.

A representation of the triregnum combined with two crossed keys of Saint Peter continues to be used as a symbol of the papacy and appears on papal documents, buildings and insignia.  Remarkably, there’s no certainty about what the three crowns symbolize.  Some modern historians link it to the threefold authority of the pope, (1) universal pastor, (2) universal ecclesiastical jurisdiction and (3) temporal power.  Others, including many biblical scholars, interpret the three tiers as meaning (1) father of princes and kings, (2) ruler of the world and (3) vicar of Christ on Earth, a theory lent credence by the words once used when popes were crowned:  Accipe tiaram tribus coronis ornatam, et scias te esse patrem principum et regum, rectorem orbis in terra vicarium Salvatoris nostri Jesu Christi, cui est honor et gloria in saecula saeculorum (Receive the tiara adorned with three crowns and know that thou art father of princes and kings, ruler of the world, vicar on earth of our Savior Jesus Christ, to whom is honor and glory for ever and ever).

Lindsay Lohan triple-pack DVD offer.

Documents in the Vatican Archive suggest by 1130 the papal tiara had been modified to become a conventional (and temporal) symbol of sovereignty over the Papal States.  In 1301 during a dispute with Philip IV (Philip the Fair, 1268–1314, King of France 1285-1314), Pope Boniface VIII (circa 1230–1303; pope 1294-1303) added a second layer to represent a pope’s spiritual authority being superior to an earthly king’s civil domain.  It was Benedict XII (1285–1342; pope 1334-1342 (as the third Avignon pope)) who in 1342 who added the third, said to symbolize the pope’s moral authority over all civil monarchs, and to reaffirm Avignon’s possession.  A changing world and the loss of the Papal States deprived the triple crown of temporal meaning but the silver tiara with the three golden crowns remained to represent the three powers of the Supreme Pontiff: Sacred Order, Jurisdiction and Magisterium.

Not since 1963 has a pope worn the triple crown.  Then, the newly-elected Pope Saint Paul VI, at the end of his coronation, took the tiara from his head and, in what was said to be a display of humility, placed it on the altar.  In a practical expression of that humility, the tiara was auctioned; the money raised used for missionary work in Africa although, keeping things in house, the winning bidder was the Archdiocese of New York.  Popes Benedict XVI (1927–2022; pope 2005-2013, pope emeritus 2013-2022) and Francis (b 1936; pope since 2013) received tiaras as gifts but neither wore them.  Benedict’s, in a nice ecumenical touch, was made by Bulgarian craftsmen from the Orthodox Church in Sofia, a gesture in the name of Christian unity.  Benedict would have appreciated that, having always kept a candle burning in the window to tempt home the wandering daughter who ran off to Constantinople.

The original (although there was a prototype rendered in the tradition of functional brutalism) Mercedes-Benz C111 with triple rotor Wankel engine (1969).

Triple cylinder engines in cars were something of a niche in the early post war years but of late they’ve achieve a new popularity, improvements in electronics and combustion chamber designs meaning three cylinders can now achieve what once required four and even with an equivalent displacement their efficiency is inherently greater because of the reduction in internal friction.  Obviously compact, they’ve proved an ideal power-plant in hybrid vehicles.  One quirky triple was the Mercedes-Benz C111 which first appeared in 1969 with a 1.8 litre (110 cubic inch) three-rotor Wankel engine, something then thought to have a great future.  It seemed a good idea at the time.  The C111, although produced in a small run and finished in some cases to production car standards was only ever a test bed, not only for the doomed rotary engine but also developments in suspension design, ant-lock braking (ABS) and safety engineering.  The gullwing body was actually designed by an Italian-born stylist but so long had he been in Stuttgart that the lines were a little more Teutonic than might have emerged from a studio in Turin but at the time it still caused a stir, even though finished in what the factory called “safety orange”, their standard high-visibility paint for prototypes and test-beds.  Later versions were fitted with a four-rotor Wankel, a variety of diesels and even a 4.8 litre (292 cubic inch) V8, the fastest of the rotaries said to be capable of 300 km/h (188 mph) while the V8 version (C111-II-D) in 1976 set a new closed-course record on the Nardò Ring in Italy, clocking in at 403.978 km/h (251.815 mph).

"Triple" is used of many things: Lindsay Lohan and her lawyer in court, Los Angeles, December 2011.

The fetish of motorcycle exhaust systems

1980 Laverda Jota 1000 (3-into-2, far left), 1973 Suzuki GT750 "Water Buffalo" (3-into-4, centre left), 1972 Kawasaki 750 Mach IV (H2) (3-into-3, centre right) and 2017 MV-Augusta Dragster 800Rc (3-into-3, far right).

Triple cylinder engines have been a feature of motorcycle engines for decades and different manufacturers have taken various approaches to the exhaust systems, an item which exerts upon riders a special fascination.  It’s not unusual to fit single systems (3-into-one) but there are also some which “siamesed” the central header pipe, the derived pair joining the two outer pipes to duct into two mufflers.  Unusually, Suzuki for a while offered 380, 550 & 750 cm3 machines with 3-into-4 systems, the central header again “siamesed” the central header but had the novelty of terminating the two pipes in separate mufflers thereby emulating the appearance of a four-cylinder machine.  It was a curious arrangement which Suzuki abandoned and other manufacturers choose not to follow.  Suzuki must greatly have valued symmetry.  Somewhat earlier, asymmetry hadn’t frightened Kawasaki which used pragmatic 3-into-3 engineering for their range (250, 350, 400, 500 & 750 cm3) of charismatic, highly strung two-strokes, one pipe to the left, two to the right and it was a distinctive feature which, although sometimes seen on the track, remains rare on the road.  In the same era, Triumph on their X75 Hurricane took asymmetry to its logical conclusion, its three pipes arranged in a radically upswept stack on the right.  It looked dramatic and was much admired but didn’t catch on although there’s the odd revival, the Italian house MV-Augusta engineering a particularly aggressive interpretation on their Dragster 800Rc.

1969 Triumph Trident T150.

So there have been triple-cylinder motorcycles with exhaust systems configured as 3-into-1, 3-into-2, 3-into-3 & 3-into-4 but the early versions of the Trident and BSA Rocket 3 (1968-1975) offered a unique take on things with a design which had the three headers ducted into two mufflers, each of which terminated with three exhaust stubs so it can be described as a 3-into-2-into-6 which seems at least one layer of complication too many.  The styling on the early Trident and Rocket wasn’t well received and was revised for 1971.  Neither motorcycle was a commercial success because they arrived too late; had the pair been released in 1966 as was planned, things might have been better because genuinely they were fast and offered a level of refinement beyond the parallel twins which for years had been a mainstay of the British industry.  As it was, within weeks of their debut, Honda’s epoch-making 750-Four was on the market, a generation (or more) advanced compared with the competition and when the Kawasaki 900 later followed, even the (slight) performance advantage enjoyed by the British triples vanished. 

1957 DeSoto Adventurer Convertible.

DeSoto's signature triple stacked taillamps were a footnote in Detroit's macropterous era of the late 1950s, the style making possible the distinctive vertical arrangement.  Chevrolet would for years make the triple lamps a trademark of their more expensive lines (although, apart from the odd special built for the show circuit, they resisted the temptation to add a third to the Corvette) but they always had them in a less memorable horizontal array.  DeSoto's motif was Chrysler's most successful use of the fins but it wasn't enough to save the brand  which was crowded out of the mid-priced market, not only by competition from General Motors (GM) and Ford but also by intra-corporate cannibalization, squeezed from below by Dodge and from above by Chrysler's new Newport line.  Demand for DeSotos collapsed and that so many were built in 1960 was simply to use up the large inventory of parts exclusive to the brand, the last of the line, heavily discounted, not sold until well into 1961.

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