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Wednesday, April 9, 2025

Leap

Leap (pronounced leep)

(1) To spring through the air from one point or position to another; to jump.

(2) Quickly or suddenly to move or act.

(3) To cause to leap.

(4) A spring, jump, or bound; a light, springing movement.

(5) The distance covered in a leap; distance jumped.

(6) A place leaped or to be leaped over or from.

(7) A sudden or abrupt transition.

(8) A sudden and decisive increase.

(8) In folk mythology, to copulate with or coverture of (a female beast) (archaic).

(9) In slang, to copulate with (a human) (archaic).

(10) A group of leopards.

(11) In figurative use, a significant move forward.

(12) In figurative use, a large step in reasoning (often one that is not justified by the facts, hence the sceptical phrase “a bit of a leap” & “quite a leap”).

(13) In mining (also used in geology), a fault.

(14) In aquatic management, a salmon ladder; a trap or snare for fish, historically constructed with fallen from twigs; a “weely”.

(15) In music, a passing from one note to another by an interval, especially by a long one, or by one including several other intermediate intervals.

(16) An intercalary measure, best-known as “leap year”, “leap second” et al.

(17) In pre-modern measures of weight, half a bushel.

Pre 900: From the Middle English lepen, from the Old English hlēapan, from the Proto-West Germanic hlaupan, from the Proto-Germanic hlaupaną (a doublet of lope, lowp, elope, gallop, galop, interlope and loop).  It was cognate with the German laufen (to run; to walk), the Old Norse hlaupa the Gothic hlaupan, the West Frisian ljeppe (to jump), the Dutch lopen (to run; to walk), the Danish løbe and the Norwegian Bokmål løpe, from the primitive Indo-European klewb- (to spring; stumble) (and may be compared with the Lithuanian šlùbti (to become lame) & klùbti (to stumble).  The verb forms are tangled things.  The third-person singular simple present tense is leaps, the present participle leaping, the simple past leaped or leapt (lept & lope the archaic forms) and the past participle is leaped or leapt or (lept & lopen the archaic forms).  That leapt and leaped remain in concurrent use is another of those annoy things in English which are hangovers from their ancient entrenchments in regional use and, as a general principle leapt tends to be is preferred educated British English while leaped is seen more frequently in North America (although leapt is in those places not uncommon, especially in areas with historical ties to England).  The transitive sense as in “pass over by leaping” was in use by the early fifteenth century and there are references to the children’s game “leap-frog” documented in the 1590s, and so obvious was the use of that figuratively it probably quickly was adopted but the first attested entry dates from 1704.  The familiar “to leap tall buildings in a single bound” comes from the Superman comics of the 1940s although in idiomatic use, “leaps” has been paired with “bounds” since at least since 1720.  Leap is a noun, verb & adjective, leaper & leapling are nouns and leaping and leapt & leaped are verbs; the noun plural is leaps.

The leap year is “a year containing 366 days” and use dates from late fourteenth century Middle English lepe gere, a genuine innovation because no equivalent term existed in the Old English. The origin is thought to come from the effect of fixed festival days, which normally advance one weekday per year, to “leap” ahead one day in the week.  The Medieval Latin was saltus lunae (omission of one day in the lunar calendar every 19 years), the Old English form being monan hlyp.  The adjustments happened in the calendars of many cultures, always with the purpose of ensuring the man-made devices for tracking dates (and therefore time) remained consistent with the sun; summer needed always to feel like summer and winter like winter.  Different methods of handling the intercalary were adopted and in England the bissextile was the device.  The noun & adjective bissextile (plural bissextiles) dates from the early 1580s and was from the Latin bisextilis annus (bissextile year), the construct being bisextus + -ilis, deconstructed as bis- (two; twice; doubled) + sextus (sixth) + dies (day) and was a reference to the Julian calendar's original reckoning of its quadrennial intercalary day as a 48-hour 24 February (subsequently distinguished as the two separate days of the sixth day before the March calends (sexto Kalendas Martii) and the “doubled sixth day”.  In modern use, 24 February is now understood as “five days before 1 March” but in Roman use it was called “the sixth” because the counting of dates was then inclusive.

The most physically demanding (and dangerous) part of Lindsay Lohan’s impressive leap into a Triumph TR4 in Irish Wish was undertaken by a body double (the young lady in this case deserving the “stunt-double” title).

Ready to leap: Lindsay Lohan with stunt double Aoife Bailey (b 1999).

Lindsay Lohan's Netflix movie Irish Wish (2024) was said by Irish reviewers to be "a mix of Leap Year meets Just My Luck meets Freaky Friday in which Lohan stars as quiet book editor Maddie Kelly, who embarks on a journey to find love by learning to love herself first."  Like Irish Wish, Leap Year (2010) was filmed in Ireland but unlike 2010, 2024 was a leap year.  IMCDB’s (Internet Movie Cars Database) comprehensive site confirmed the Triumph TR4 was registered in Ireland (ZV5660, VIN:STC65CT17130C) as running the 2.1 litre version (17130C) of the engine.  The Triumph 2.1 is sometimes listed as a 2.2 because, despite an actual displacement of 2138 cm3; in some places the math orthodoxy is ignored and a "round up" rule applied, something done usually in jurisdictions which use displacement-based taxation or registration regimes, the "rounding up" sometimes having the effect of "pushing" a vehicle into a category which attracts a higher rate.  Those buying a TR4 for use in competitions with a 2.0 litre limit could specify the smaller unit from the factory but being based on a tractor engine (!) and thus fitted with wet-cylinder liners, “sleeving” a 2.1 back to 2.0 wasn’t difficult.  The lack of the "IRS" (independent rear suspension) badge on the trunk (boot) lid indicates the use of the live rear axle and that detail was of no significance in the plot although, given the leap scene, a convertible of some sort would have been required.  Although on the road the IRS delivered a smoother ride, those using TR4s in competition usually preferred the live rear-axle because it made the car easier to steer “with the throttle”.

The replacement of the bissextile by the then novel 29 February every four years-odd appears such an obviously good idea it seems strange it took centuries universally to be adopted in England although the documents reveal the shift was certainly well in progress by the mid-fifteenth century and in an echo of later practices, the more curmudgeonly the institution, the slower the intrusion of the new ways, the Admiralty and houses of parliament ignoring 29 February until well into the 1500s.  It wasn’t until the Calendar (New Style) Act (1750) passed into law that 29 February received formal recognition in UK law.  The reform worked well from the start but in some jurisdictions, government lawyers took no chances and for the handful of souls born on a 29 February, their birth dates were deemed to be 28 February or 1 March for all legal purposes (eligibility for drivers licenses or pensions, age of consent etc).  One born on 29 February is a “leapling” and there are said to be a few as five million of these lonely souls on the whole planet.  In many countries hospitals and midwives note the frequency with which expectant mothers approaching March request staff do whatever is required to avoid them giving birth to a leapling, fearing the child will feel deprived by having fewer birthdays than their siblings of friends.  The math of the leap year is it is one (1) evenly divisible by 4, (2) except for years are evenly divisible by 100 except that (3) years evenly divisible by 400 are leap years.  So, 2000 was while 1900 was not; 2100 will not be a leap year, but 2400 will be.  However, because the rotation of the Earth is changing (and thus the length of days), as is its distance from the Sun, even a 29 February now and then is not enough to keep everything in sync.  So, there are also leap seconds, spliced in as needed and unlike 29 February, only those dealing with atomic clocks and such notice addition.

Leap is common in idiomatic use:  To do something in “leaps and bounds” suggests commendably quick progress.  A “leap in the dark” is to take some action while being uncertain of consequences and the related “leap of faith” is trusting in something that cannot be seen or proven so in a sense they’re two ways of saying much the same thing although “leap of faith” does also imply some trust in something or someone.  To have one’s heart “leap into one’s throat” is an allusion to the sensation felt sometimes in the throat when something scary happens.  To “leap for joy” is much the same as “jump for joy” and describes joyous happiness.  To “leap at” something is enthusiastically to take up an offer, avail one’s self of an opportunity etc.  When doing so, one might be said to “leap into action”.  To be cautioned to “look before you leap” is to suggest one should be sure of things before doing something; if one ignores the advice then it’s a “leap of faith” or a “leap into the dark”.  To “leapfrog” is to skip a step in some process, the connotation almost always positive.  To suggest someone “take a flying leap” is much the same as telling them to “go jump in the lake” or, as is now more common: “fuck off”.  The concept of the "quantum leap" was in 1913 introduced (as the "quantum jump") by Danish physicist Niels Bohr (1885–1962) in his "Bohr model" of the atom.  In the strange world of quantum mechanics it describes the discontinuous change of the state of an electron in an atom or molecule from one energy level to another and was adopted figuratively to refer to an "abrupt, extreme change".  In modern use, it has come to mean a large or transformative change, a use to which pedants sometimes object but this is how the English language works.  The “leap year bug” is jargon rather than a idiom and describes the growing number of instances of problems caused by computers (and related machines) for whatever reason not correctly handling the existence of leap years.  Most are caused by human error and some are not being rectified because the original error has been built upon to such an extent that it’s easier to handle the bugs as they occur.  If something is said to be “a bit of a leap” or “quite a leap” it means there's some scepticism about the relationship one thing and another (often cause & effect). 

Jaguar's Leaper

Left to right (top row): Buick, Packard & Pierce-Arrow; (centre row): Rolls-Royce, Bentley & Mercury; (bottom row): Duesenberg, Mercedes-Benz & Nash.

The radiator cap of course began as a mere functional device which could be unscrewed to allow coolant to be added but, inevitably, possibilities occurred to stylists (they weren’t yet “designers”) and soon the things were a small platform for miniature (though many were anything but small) works of art to covey an image to suit at least what was imagined to be the character of the vehicle on which they sat.  Although such embellishments are now remembered for their decorative qualities (and many in the art deco era during the inter-war were lovely creations), some genuinely were functional and “topping-up” the coolant was for decades a frequent part of the motoring experience so, however attractive they may have been, their use as a handle means they may be thought architectonic as well as artistic. The Jaguar Leaper had fangs and while that sounds ominous for pedestrians, some of the radiator cap & hood emblems looked more lethal still and even before the “safety movement” of the 1960s, there had been discussions about the dangers they posed.  For the safety of pedestrians, the few survivors now are spring-loaded or retract when the vehicle is in motion.

Leaper on 1960 Jaguar Mark 2 3.8.  Owners found the fitting handy when opening the hood.

Leaper” really was the factory’s name for the lunging feline figure which for decades adorned the space atop or behind the grill on many Jaguars.  The story of the origin is murky and while there may be some myth-making in it, the most likely explanation seems to be that when late in 1934 newly appointed Ernest William "Bill" Rankin (1898-1966, Advertising Manager and Public Relations Officer, Jaguar Cars 1934-1966) settled (from a list of charismatic wild animals) on “Jaguar” as a name for a new “sporty” SS (then the company name) car and, part of the “brand identity” was to design an appropriate radiator cap ornament.  Rankin was acquainted with the draftsman & technical illustrator Gordon Crosby (1885–1943) who he knew to be an amateur sculptor and it was to him the commission was granted.  Crosby delivered a prototype cast in bronze and according to company mythology, Jaguar’s founder, Sir William Lyons (1901–1985) thought it looked like “a cat shot off a fence” but liked the concept so, lengthened and softened into something sleeker, the refined shape emerged as the “Leaper”, first fitted in 1938.  The tales do differ, some suggesting Sir William’s “cat shot off a fence” thoughts were prompted by the sight of an earlier, third–party ornament which inspired him to task Mr Rankin with finding a replacement and, in the absence of documentary proof, Jaguar fans can pick the story they prefer.

Leaper on 1950 Jaguar Mark V 3.5.  The Mark V (1948-1951) was the last Jaguar with the external radiator cap.

The SS name came from the Swallow Sidecar Company which Lyons had in 1922 co-founded with William Walmsley (1892–1961), reorganized as “S.S. Cars” after 1934 when Walmsley withdrew and the adoption in 1935 of “Jaguar” as a model name was mere marketing and nothing to do with the by then unsavoury reputation of the German SS (Schutzstaffel (protection squad), which began in 1923 as a small security guard for Adolf Hitler (1889-1945; Führer (leader) and German head of government 1933-1945 & head of state 1934-1945) but which evolved into a kind of parallel army for the Nazi Party and later into an armed formation almost a million-strong).  Even by 1945 when motor vehicle production resumed and the corporate name S.S. Cars formerly was changed to “Jaguar Cars Limited”, the rationale was the stronger brand identity of the latter rather than an aversion to anything associative with the Nazis.  Indeed, in 1957 Jaguar returned to SS as designation with the release of the XKSS, a road-going version of the Le Mans-winning D-Type race car.

An early Leaper (left) and the later "in flight" version (right) with the fully extended hind legs.

First fitted to production SS Jaguars in 1938, it became standard equipment on all until 1951 when the Mark V was discontinued.  As the last Jaguar to feature an external radiator cap, the assumption was that was the end of the Leaper and the strikingly modernist XK120 which created a sensation at the 1948 London Motor Show had only a radiator grill; the spirit of the age was that the ornaments were antiquated relics.  However, elsewhere in the industry, modernity and nostalgia managed peacefully to co-exist and while there was no revival of external radiator caps, the ornaments refused to die and from expensive Mercedes-Benz and Rolls-Royce to the most humble Austins and Chevrolets, the chromed constructions continued and sometimes grew, those not able to sit atop grills (many now with no “top” as such) re-imagined as hood (bonnet) ornaments.  So, in 1955 the Jaguar Leaper made a comeback on the new small saloon (the 2.4), the mascot using the subtle post-war re-working of the hind legs, made more outstretched to suggest the big cat in “mid-leap”, about to take its prey.

Rendered usually in fibreglass anodized with a shiny silver finish (although some, daringly, were gloss black), large leapers were often a feature of Jaguar dealerships (left).  Once decommissioned, they were sometimes sold and, applying dreadful and indefensible gender stereotyping, were a good gift for the garden (right) of the Jaguar-owning husband or boyfriend who "has everything". 

On the saloons, the design lasted 14 years and it was fitted even to the XK150 for while the XK120 in 1948 had seemed streamlined modernity exemplified, the world had moved on and by 1957, although much improved and still stylish, the lines now seemed baroque rather than minimalist; the Leaper fitting in well.  For the big Mark X saloon in 1961, paradoxically, a smaller leaper was cast and this remained in use until the car (by then called 420G) was retired in 1970 so it was thus the last of the early Leapers, the XJ unadorned upon its debut in 1968 with the last of the legacy saloons produced in 1969.  The aftermarket though remained buoyant with many XJs and XJSs fitted with Leapers by owners who liked the look or dealers who thought they would.  It does seem they were fitted at the plant to almost all the New Zealand-assembled XJs and the factory may have been in two minds about it: the hoods of all XJs (1968-1992) included in the underside marks indicating where the holes should be drilled.  Not until the X300 XJ in 1994 would they again be factory-fitted to some models (in “pedestrian friendly” spring-loaded form) and this continued until 2005.

Leaper on a US market 1999 Jaguar Vanden Plas (X308).

The US market Vanden Plas models were the only Jaguars on which the leaper was used in conjunction with the fluted grill fitted to the home market (and some RoW (rest of the world)) Daimlers.  Because it was Mercedes-Benz and not Jaguar which after 1966 held the US rights to the Daimler brand, Daimlers since then sold in the US were badged as Jaguar Vanden Plas although they were otherwise identical to Daimlers including the fluted fittings.  The supercharged Daimler Vanden Plas was the most exclusive of the X308s and was noted for details such as the rear picnic tables being crafted from solid burl walnut timber rather than the veneer over plastic used on cheaper models.

1970 S2 Jaguar E-Type (top) from the "R2" run of 1000-odd (almost all of which were registered as 1971 models although some left the factory in 1970) with the leaper badges on the flanks and leaper badges, left-side (p/n BD35865, bottom left) and right side (p/n BD35866, bottom right).

The Series 2 E-Type (1968-1971) was marred by the clutter of bigger bumpers, protuberant headlight assemblies, badges and side-marker lights and so much did they detract from lovely, sleek lines of the Series 1 cars (1961-1967), bolting a luggage rack to the boot (trunk) lid probably seemed no longer the disfigurement it would once have been.  The disfigurement had begun with the transitional E-Types (the so-called 1.25 & 1.5 cars built in 1967).  The left-hand (left) and right-hand (right) fender badges, being directional, were different part numbers (BD35865 & BD35866 respectively) and those used on E-Types were silver on black whereas the variants used on the XJs were gold on black, some of which depicted the leaping feline at a slight slope, both matters of note for those wishing to restore cars to the challenging “factory original” standard.

1976 Jaguar XJC 4.2.

This XJC is one of many in the wild which, at some point, was fitted with a leaper but it’s a shame whoever made the addition didn't at the same time remove the unfortunate vinyl roof.  Like the headlight covers sometimes added to the later (S1.25 & 1.5) S1 E-Types, removing an XJC's vinyl roof is one of the rare exceptions the originality police tolerate and even encourage.

Still under the control of the doomed British Leyland, Jaguar lacked the resources fully to develop the XJC (1975-1998) and although it was displayed to much acclaim in 1973, not for another two seasons would it appear in showrooms, the programme starved of capital because greater priority was afforded to the XJ-S (1975-1996 and from 1991 officially “XJS”, a change most of the world informally had long adopted) which was thought a product with greater potential in the vital US market.  The XJC thus debuted with problems including (1) flawed sealing of the side windows which resulted in intrusive wind-noise, (2) a tendency of the doors to droop because, although longer and thus heavier than those of the four-door saloons, the same hinges were used and (3) the pillarless (ie a two-door hardtop) construction induced a slight flexing in the roof’s metal and while not a structural issue, because regulators had (quite sensibly) had lead removed from paint, the paint on the roof was prone to crazing.  The solutions (the development of exotic paint additives or re-designing the roof with heavier-gauge metal) would have been expensive and time-consuming so, in the British Leyland tradition, the Q&D (quick & dirty) approach was preferred and a vinyl roof was glued on but modern paints mean the ugly vinyl can now be removed so the roof’s lovely lines can be admired.  The leaper badges on the flanks (behind the front wheel arch) were factory-fitted on the Series 1 (1968-1973) & Series 2 (1973-1979) XJs.

Jaguar’s cancelled Growler (left) and the new (EV-friendly) Leaper.  According to the MBAs, the message the Leaper conveys is: “Always leaping forward, it is a representation of excellence and hallmark of the brand.

The companion bad to the Leaper was the “Growler” which featured the head of a Jaguar, mid-growl.  There were over the years many version of the growler and it appeared variously on trunk-lids, grills, steering wheel bosses and such.  Because as a fitting it was never rendered in a way likely to cause injury to pedestrians, it might have been supposed it wouldn’t be vulnerable to cancellation but it transpired the Growler poses a significant moral hazard, presumably on the basis that while the somehow sensuously feminine Leaper is acceptable, the Growler embodies toxic masculinity.  Whether Jaguar’s MBAs discovered this from focus groups or divined it from their own moral superiority hasn’t be revealed but in 2024 the company announced the Growler would not re-appear when the new range was launched in 2025.  Given the public response to the DEI (diversity, equity & inclusion) themed preview of the company's EV (electric vehicle) re-brand, the presence or not of the Growler may not be of great significance but a new expression of the Leaper, (with something of a stylistic debt to the IBM logo), would be included so there’s that.

Monday, February 24, 2025

Trapezoid

Trapezoid (pronounced trap-uh-zoid)

(1) In British English, a quadrilateral plane figure having no parallel sides.

(2) In US English, a quadrilateral plane figure having two parallel and two non-parallel sides.

(3) In anatomy, a small bone in the wrist that is situated near the base of the index finger and that articulates with the second metacarpal, trapezium, capitate, and scaphoid bones.

1706: From the New Latin trapezoīdēs, from the Late Greek trapezoeids (trapezium-like in shape), coined by the mathematician Euclid (4th-3rd century BC) from trapeze (literally “table”) + -oeides (shaped).  Originally it described a quadrilateral figure a quadrilateral figure having only two sides parallel, the purists insisting that describes a trapezium.  The terms trapezium and trapezoid have swapped meanings in North America compared with the rest of the world.  Trapezoid & trapezium are nouns, trapezoidal is an adjective; the noun plural is trapezoids or trapeziums depending on one's definition.

The trapezoid’s different definitions

Of all the squabbles in the world, one of the most improbably enduring concerns the definition of what constitutes a trapezoid.  Disagreements between mathematicians are of course not unusual and those involving the efficacy of this or that proof of some arcane have lasted sometimes centuries but differences over the definition of something basic are rare.  They do however happen.  It was once the case that in the UK the value of a billion was held to be a million millions, on the logical basis that a million was a thousand thousands.  The Americans decided that was silly because a number expressing a million millions was (at the time) of use only to cosmologists and argued, no less logically that to set a billion at a thousand millions would make it genuinely useful.  In the end, thankfully, the US view prevailed.

An irregular quadrilateral in the UK, a trapezium in the US (left); a trapezium in the UK, a trapezoid in the US (right).

But it seems strange there could be differences over what makes a trapezoid, a flat 2D shape with four straight sides.  Classically, it had one pair of parallel sides (usually the top and bottom); the parallel called the bases, the non-parallel the legs (the distance from one base to another is known as the altitude).  The faction which holds a trapezoid has only one pair of parallel sides (meaning they can never be parallelograms) adheres to what’s known as the exclusive definition.  The others (now in the majority) believe trapezoids have at least one pair of parallel sides, so they can be a special type of parallelogram and this is known as the inclusive definition which encompasses the “taxonomy of quadrilaterals” (an ordered group category of quadrilaterals (four-sided shapes)).  In the US and Canada a quadrilateral shape with at least one pair of parallel sides is known as a trapezoid. This is what is called a trapezium outside those countries but fortunately, mathematicians everywhere agree there are three main types of trapezoids:

(1) The right trapezoid (a shape with a pair of right angles).
(2) Isosceles trapezoid (a shape in which the non-parallel sides have the same length).
(3) Scalene trapezoid (a shape where all four sides are of unequal length).

Peugeot 504 with the original “trapezoid” headlamp lens (left), the four-lamp arrangement used in the US, Australia (after 1973) and some export markets (centre) and the single light adopted for the “poverty spec” & later utility models (right).

The Peugeot 504 in one form or another was in production for almost half a century, lasting from 1968 until 2006 although the mainstream (non-utility) models were discontinued in France in 1983.  A machine of extraordinary virtue which was refined enough for European roads yet sufficiently robust successfully to endure the harsh conditions often found in the former colonies of the old French Empire, it also gained an admiring audience in rural Australia where distances were vast, roads often rough and mechanics sometimes hard to find.  Among cars using a conventional suspension (no hydraulics, air bellows or other exotica), only Jaguar’s equally remarkable XJ6 (another debutante from 1968) could match its ride quality.  The 504’s headlights were often described as trapezoid but that was never true (on either side of the Atlantic) because not only were no two sides parallel, the outer was actually curved.  At most they could be could be thought trapezoidish or trapezoidesque but some were not even that.  As a means to assist in producing low-cost variants, some were made with a single, circular lamp instead cost-saving measure while versions with four (smaller) units were offered in some markets.  In the US this was to satisfy laws introduced as an industry-protection measure while in Australia it was to assist in meeting the local content rules which offered taxation advantages for the assembly plants although the change was popular with rural buyers used to frequently broken lights on their unsealed roads, the round units cheap and available at every petrol (gas) station or country store.

A woman wearing a chador contemplates placing a bid on Mr Ahmadinejad's then 34 year old Peugeot 504, Abadan, Iran, February 2011.

In November 2010, it was announced President Mahmoud Ahmadinejad (b 1956; president of the Islamic Republic or Iran 2005-2013) would be auctioning his 1977 Peugeot 504 to raise money for a charity dedicated to providing affordable housing for low-income families.  With low mileage and said to be in immaculate condition, there was much interest and what proved to be the most expensive 504 ever made was sold in March 2011 to the highest bidder for US$2.5 million.  The 504's engine and suspension were used in later models of the Paykan, the long running (1966-2015) Iranian version of the Rootes Group's Arrow (the best known version of which was the Hillman Hunter (1967-1979)).  The transplant came about because in 1978 Peugeot-Talbot took control of Chrysler's European operations, the US corporation having in 1967 absorbed Rootes Group.

A metallic gray Peugeot 504.

Another infamous Peugeot 504 owner was Archbishop Paul Marcinkus (1922–2006; president of the Institute for the Works of Religion (the "Vatican Bank") 1971-1989) who had a metallic gray one with a “lovely leather interior”.  The archbishop was gay which was nothing unusual among the bishops and cardinals in the Vatican (indeed it’s probably unusual not to be gay in such circles) but even in that colourful milieu his sexual appetite was considered “in the upper range” and his fondness for Swiss Guards was both well known and the subject of some mirth among the Curia; often the archbishop would "lend" his Peugeot to his favourite Swiss Guards to use on their expeditions for this and that.  Highlights of the archbishop’s life included (1) being for a time ensconced behind the Vatican walls and protected by diplomatic immunity to ensure he’d not have to face interrogation from the various authorities interested in matters related to certain transactions at the Vatican Bank, (2) being associated with Italian banker Roberto Calvi (1920–1982), chairman of the bank Banco Ambrosiano (which collapsed in 1982) and known as Banchiere di Dio (God's Banker); found hanged from the scaffolding under London's Blackfriars Bridge) and (3) being accused of complicity in the murder of Pope John Paul I (1912–1978; pope August-September 1978).  There’s no compelling evidence the 33 day pontificate of JPI ended with his murder and nor is there anything but “a bit of circumstantial” suggest Marcinkus may have been involved.  Most historians concluded JPI died from natural causes and the marvellous conspiracy theory hinges on the suggestion the pope was planning to institute reforms in the Vatican Bank which had been linked to financial corruption involving the Banco Ambrosiano and the Propaganda Due (P2) Masonic Lodge.

Archbishop Marcinkus (far left) & Paul VI (1897-1978; pope 1963-1978, centre left) meet US Baptist preacher & civil rights activist Reverend Dr Martin Luther King Jr (1929–1968, centre right) & US Baptist preacher & civil rights activist Reverend Ralph Abernathy Sr (1926–1990, far right), the Vatican, 18 November 1964.  The US delegation was on the Rome leg of a European tour.

Even by the standards of the cult, the P2 Masonic Lodge was secretive which was understandable given how deeply it was involved in political corruption, financial irregularities and organized crime and finally it was banned in 1981 after the extent of its criminality became just too much for elements within the Italian state to continue the protection for years provided.  Founded in 1945, P2 originally was just another Masonic lodge under the Grand Orient of Italy but it came under the control of businessman and fascist Licio Gelli (1919–2015) who became Venerable Master and transformed it into a kind of shadow state.  In the manner Masons have practiced for centuries, P2 infiltrated institutions and recruited influential figures including politicians (including then media figure Silvio Berlusconi (1936-2023; prime minister of Italy 1994-1995, 2001-2006 & 2008-2011), military officers, judges, journalists and businessmen, most with some degree of fascist sympathy.  Essentially, P2’s agenda was a kind of “MIGA” (Make Italy Great Again) program and in the way these things are done, their plan for a latter day Il Risorgimento (Resurgence, the nineteenth century movement which culminated in the unification of Italy (1961)) their project, although presented as a Plan for Democratic Rebirth” was actually a plot to undermine democracy and take control of the government.  P2 deeply was implicated in the scandals swirling around the Vatican Bank and the collapse of Banco Ambrosiano in 1982 and when finally investigated, almost a thousand officials and others were found to have ties to the cult; the prime minister, Arnaldo Forlani (1925–2023; Prime Minister of Italy 1980-1981), was compelled to resign although at the time of his death he was both the oldest living and longest-lived Italian prime minister so there was that.  As the scandal unfolded, Venerable Master Licio Gelli was expelled from the Masons (presumably because he’d committed the unforgivable sin of “being caught”) and arrested, triggering years of court cases, escapes from custody, hiding in other countries and pleading not guilty.  In the Italian way, despite receiving long sentences he spent very little time in prison and by 2003 seemed content P2 had in a way succeeded because the “democratic rebirth plan” was “being implemented by Silvio Berlusconi”.

Peugeot 504 Coupé: The early headlamp treatment (1969-1974, left) and the later (1974-1983, centre).  The 2018 Peugeot E-Legend concept car (right).

The rather lovely 504 coupé & cabriolet (1969-1983) both eschewed the trapezoidesque, the early versions using four lamps sometimes described a “quartic” but, being rectangles with rounded ends, they’re actually closer to what mathematicians call a “stadium”.  Later models used essentially the same internals but were mounted behind a single lens in a shape called a “rounded rectangle”.  Although not quintessentially “French” like the classic Citroëns (DS, GS, SM, CX), the 504 coupé & cabriolet were elegant and capable and it's sad the French industry has in recent decades produced nothing to match them.  Peugeot’s designers however seem aware of the appeal and in 2018 displayed their E-Legend concept car, an attractive take on the 504 coupé’s lines.  Nothing like it ever reached production and the range remained dreary and predictable.

Variations of the trapezoid are widely used shapes for handbags.  Noted handbag fan Lindsay Lohan (in brunette, blonde and red) demonstrates some of the interpretations.

Wednesday, January 1, 2025

Vagina & Vulva

Vagina (pronounced vuh-jahy-nuh)

(1) In anatomy & zoology, in many female mammals, the moist, tube-shaped canal part of the reproductive tract which runs from the cervix of the uterus through the vulva (technically between the labia minora) to the outside of the body.

(2) In botany, the sheath formed by the basal part of certain leaves where they embrace the stem.

(3) A sheath-like part or organ (now rare even in technical literature).

(4) In colloquial (and now general) use, the vulva, or the vulva and vaginal passage collectively.

(5) In derogatory colloquial use, an un-masculine man; a weakling (now rare, “pussy” the preferred modern term).

1675-1685: A creation of Medical Latin, a learned borrowing of the Latin vāgīna.  As used in anatomy, the seventeenth century coining was a specialized application of the Latin vāgīna (a sheath, scabbard; a covering, holder; sheath of an ear of grain, hull, husk) of uncertain origin, the suggestion by some etymologists it may have been cognate with the Lithuanian vožiu & vožti (to cover with a hollow thing) dismissed by others as “speculative” or even “gratuitous proposal”.  The use in medicine is exclusive to modern science, the Latin word not used thus during Antiquity.  Vagina is a noun, vaginal & vaginalike are adjectives, vaginally is an adverb; the noun plural is vaginas or vaginae (the old spelling vaginæ is effectively extinct); the part of the anatomy used for copulation & childbirth in female mammals and a similar organ exists in some invertebrates.

A damp Lindsay Lohan demonstrates the “cameltoe” look, Los Angeles, 2009 (left) and NoToe'sCameltoe Proof Thong” solution (right).

Borrowed from zoology, “cameltoe” is popular modern slang which specifically references the vulva's labia majora, comparing the bifurcated (at certain angles) appearance with the even-toed hoof of a camel, the hooves of the ungulate mammals (known as Artiodactyls) an adaptation to the typically loose, sandy environment in which they evolved.  The slang form (also as camel toe & camel-toe) was re-purposed as “Cameltoe Harris”, a derogatory reference to Kamala Harris (b 1964; VPOTUS (US vice president) 2021-2025), use seemingly dating from 2015 while she was serving in California as attorney-general.  Just as in many fields where “there’s an app for that”, for those wishing to avoid the look, “there are knickers for that”.  Brisbane-based Australian operation NoToe's Cameltoe Proof Thong is made with “a Nylon/Spandex blend”, the design said to be “…breathable, seamless, tagless and roll-free thanks to its silicone grip.  And of course, it's cameltoe proof!  In addition to removing the cameltoe, the thong also eliminates the dreaded VPL (visible panty line) and the product is “Designed Down Under for Down Under.”  One more gap in the market has been filled so that's good.

The vluva and vagina have for centuries attracted the coining of slang terms, not all of them derogatory.  In idiomatic use “vaginamoney” is (often embittered) slang for alimony, child support etc, money paid by men to ex-partners after the sundering of a relationship.  One slang form which may not survive is "hairy check book" (cheque book outside the US) because (1) checks are declining in use and (2) body-hair fashions have changed.  In psychiatry, the condition vaginaphobic describes “a fear of or morbid aversion to vaginas) and vaginaphile (an admiration for vaginas) is listed by only some dictionaries which is surprising given authors are so often given to write about them and painters are drawn to painting them (in the sense of oil on canvas etc although there’s doubtless a niche for applying paint directly).  Dating from 1908, the term “vagina dentata” entered psychiatry and its popularization is usually attributed Austrian psychoanalyst Sigmund Freud (1856-1939) although this perception may be attributable to Freud’s works being better known and more widely read, the term used by many in the profession.  The Latin vagina dentata (toothed vagina) referenced the folk mythology in which a woman's vagina contained teeth, the implication being a consequence of sex might be emasculation or at least severe injury.  The tale was also used as a warning about having sex with unknown women and as a way of discouraging rape.  The vivid imagery of a vagina dentata (in somewhat abstract form) was used by the US military as a warning about the dangers of STIs (sexually transmitted infection (once known as sexually transmitted diseases (STD) & VD (venereal disease).  Some writers have speculated on what this revealed about Freud and his much discussed understanding of women.

Vulva (pronounced vuhl-vuh)

(1) The external female genitalia of female mammals (including the labia, mons veneris, clitoris and vaginal orifice.

(2) In helminthology, a protrusion on the side of a nematode (multivulva used to describe a phenotype of nematode characterized by multiple vulvas).

(3) In arachnology, the spermatheca and associated ducts of the female reproductive system (also known as internal epigyne or internal genitalia).

(4) An internal genital structure in female millipedes (known also as the cyphopod).

Late 1300s: A learned borrowing from the Latin vulva, from the earlier volva (womb, female sexual organ) (perhaps in the literal sense of a “wrapper”), from volvere (to turn, twist, roll, revolve (also “turn over in the mind”)), probably from volvō (to turn, to roll, to wrap around), from the primitive Indo-European root wel- (to turn, revolve), the derivatives referring to curved, enclosing objects.  In the 1970s, when Volvo automobiles weren’t noted for their precise handling, journalists enjoyed noted the translation of the Latin volvō as: “I roll”.   It was akin to the Sanskrit उल्ब (úlba) (womb).  The adjectives vulvalike (also vulva-like) & vulviform both describe objects or designs having the shape of a vulva.  Vulva is a noun, vulval, vulvaless, vulviform, vulvar, vulvate & vulvic are adjectives; the noun plural is vulvas, vulvae or vulvæ.

Ms Gillian Anderson’s “vagina dress”

Gillian Anderson, Golden Globes award ceremony 2024.

So much interest was generated by the dress (which the designer dubbed “vulvalicious”) that the handbag (there are those who would insist it’s a “purse”) escaped much attention which was a shame because it was a clever design.  Aquazzura’s Mini Purist Metallic Pouch blends the utilitarian function of the classic night-time mini bag with the swinging style of a shoulder bag, imagined as a semi-circle.  What the adjustable silver shoulder strap afforded was the choice of it being carried off the shoulder or, if removed, used as a conventional handbag, the hard golden top handle folding from the base.  The semi-circle is of course a less than efficient shape for a handbag (or purse) in the sense of a "storage device" but it gives the stylists a nice curve with which to work.  

There’s nothing novel in the critical deconstruction of what appears on red carpets but the dress worn by actor Gillian Anderson (b 1968) at the 2024 Golden Globe ceremony also attracted the attention of word nerds.  Designed by Gabriela Hearst (b 1976), the strapless, ivory corset gown was embroidered with individually stitched embellishments in the shape of vulvas, each of which absorbed some 3½ hours of the embroider’s time.  In an allusion to her sexual wellness brand (G spot), when interviewed, Ms Anderson said she wore the piece: “for so many reasons. It’s brand appropriate.  The response in the press and on-line appeared to be (mostly) positive but what did attract criticism was the widespread use of “vagina” to describe the designs, a descriptor used even by Ms Anderson herself.  The more strident of the critics seemed to detect sexual politics in what they claimed was anatomical imprecision, the implication being this lack of respect for gynaecological terminology was casual misogyny: Doubts were cast anyone would dare confuse a scrotum with the testicles.

Annotated anatomical sketch (left) Edsel Citation convertible (centre) and the detail on Gabriela Hearst's gown (right).  Although Ms Anderson probably didn't give the 1958 Edsel a thought, it does illustrate why her use of "vagina" to describe the embroidered motifs is defensible.

The pedants are correct in that technically the “vulva” describes on the external portion of the genitalia that leads to the vagina; the vulva including the labia majora, labia minora, and clitoris.  The labia is also a complex structure which includes the labia majora (the thick, outer folds of skin protecting the vulva’s internal structure) and the labia minora (the thin, inner folds of skin directly above the vagina).  However, for almost a hundred years, the term “vagina” has widely been used to refer to the vulva and has come to function as a synecdoche for the entire female genitalia and so prevalent has the use become that even medical professionals use “vagina” thus unless great precision is required.  Still, given Ms Anderson’s brand is concerned with such matters, perhaps the historically correct use might have been better but the actor herself noted “it has vaginas on it” so linguistically, her proprietorial rights should be acknowledged.

The Edsel, the grill and the myths

1958 Edsel Citation convertible.

Although it went down in industrial history as one of capitalism’s most expensive failures, objectively, Ford Motor Corporation’s Edsel really wasn’t a dramatically worse car than the company’s companion brands Ford & Mercury.  Indeed that was one of the reasons for the failure in the market; sharing platforms, engines, transmissions, suspension and some body parts with Fords & Mercurys, the thing simply lacked sufficient product differentiation.  That sharing of components (and assembly plants; Ford sending the Edsels down the existing production lines in the same factories) also makes it hard to believe the often quoted US$300 million (between US$2.5-3 billion expressed in 2025 values) Ford booked as a loss against the abortive venture as anything but an opportunity taken by the accountants to dump all the bad news in one go, certain taxation advantages also able to be gained with this approach. 

1959 Edsel Corsair two-door hardtop.

The very existence of Edsel was owed to a system devised by Alfred P Sloan (1875–1966) while president of General Motors (GM).  Sloan is now mostly forgotten by all but students of industrial & economic history but he was instrumental in the development some of the concepts which underpinned the modern economy including frequent product changes (for no functional purpose), planned obsolescence and consumer credit.  What the "Sloan ladder" did was provide GM’s customers with a structured incremental status indicator, defined by a range of products (with substantial cross-amortization) at price points which encouraged them to “step up” to the next level as disposable income increased.  At one point, GM’s brand-range had nine rungs but the Great Depression of the 1930s necessitated some pruning and, after a cull in 1931 cut the brands to six, what eventually emerged after 1940 was a five rung system which would be sustained until the twenty-first century: Chevrolet, Pontiac, Oldsmobile, Buick & Cadillac.  In the 1950s, when the US economy enjoyed the unusual conjunction of rising incomes, stable prices and a remarkably (by both historic and contemporary standards) small disparity between the wealth of rich and poor, this produced the swelling middle class which was the target market for most consumer products and certainly those on the Sloan ladder.  Ford had in 1938 added a rung when the Mercury brand was spliced between Ford and Lincoln but in the mid 1950s, the MBAs convinced the company the Sloan system was the key to GM’s lead in the market and they too re-structured the company’s products into five rungs: Ford, Mercury, Edsel, Lincoln & Continental.  Actually, in a harbinger, the loss-making Continental Division lasted barely two seasons, folded into Lincoln before the Edsel debuted for the 1958 model year but the MBAs kept the faith.

1958 Edsel (left) and 1958 Oldsmobile (right).  One can see why someone at Time magazine thought of "an Oldsmobile sucking a lemon".

That faith turned out to be misplaced although in fairness to them, the circumstances in 1958 were unfortunate, a short but sharp recession shocking consumers who had become accustomed to growth and stability, believing that such unpleasantness belonged to the pre-war past.  The Edsel never recovered.  Although sales in 1958 were disappointing, given the state of the economy, it could have been worse but Ford’s market research (focus groups a thing even then) had identified problems and in response toned down the styling and moved the brand down-market, notionally to sit between Ford & Mercury, a gap which in retrospect didn’t exist.  Sales dropped that year by about a third and the writing was on the wall although, surprising many, a pared-down Edsel range was released for 1960 using Ford’s re-styled bodies but not many were fooled and fewer than 3000 left the factory before late in 1959 the end of the brand quietly was announced.

1938 Frazer-Nash BMW 328 Roadster with the grill's centre bars in non-standard red (top left), 1959 BMW 507 (top right), 1971 BMW 3.0 CSi (E9, bottom left) and 2022 BMW M4-Competition-xDrive (G82, bottom right).

Ford might have felt the Edsel was criticized unfairly (at least on a anatomical basis) because, since the 303 in 1933, BMW had been fitting grills which blatantly were “cameltoesque” in appearance although perhaps they escaped opprobrium because it wasn’t until 1962 with the release of 1500 (the so-called Neue Klasse (New Class, 1962-1972)) the design assumed aspect ratios close to that of the typical human female, exemplified by the elegant E9 coupés (1968-1975).  BMW also came to use physiology as a descriptor for the style but delved deeper, preferring the gender-neutral “twin kidney”.  Interestingly, for the lovely 507 roadsters (1956-1959) the twin apertures were stretched wide and the look was greeted with acclaim (Pontiac, with aplomb, taking up the “twin-grill” concept) and it wasn’t until the huge, gaping apparatuses of the twenty-first century appeared that the style Nazis condemned the look as “absurd”.  The deep and wide-set grills of the BMWs of the 2020s are the cameltoe at scale and for those who question the anatomical reference because they doubt “wide set vaginas” are a thing, their existence was confirmed in Mean Girls (2004).

1960 Edsel Ranger Sedan.  By 1960, the Edsel really was a "blinged-up" Ford and the 34 days it was in production happened only to fulfil contractual obligations and avoid tiresome legal proceedings.

Although it began as something more than a "blinged-up" Ford, the Edsel wasn't that much more and it failed because for such a hyped product it was a disappointment and in that it can be compared to something like the administration of Barack Obama (b 1961; POTUS (US president) 2009-2017).  Barack Obama was not a bad president and he didn’t lead a bad government, indeed most objective analysts rate his term as “above average (the perhaps biased Donald Trump (b 1946; POTUS 2017-2021 and since 2025) dissenting from this view) but he disappointed because he promised so much, the soaring rhetoric (“highfalutin nonsense” as the press baron Lord Beaverbrook (1879-1964) would have put it) offering hope and change never realized.  There was also the Edsel’s styling.  There was much clumsiness in the detailing (although almost the whole US industry was similarly afflicted in 1958) but the single most polarizing aspect was the vertical grill assembly, controversial not because it was a regression to something which had become unfashionable in the “longer, lower, wider” era but because of the shape which to some suggested a woman’s vulva.  Some used the words “vagina” or “genitalia” but in those more polite times some publications were reluctant to use such words in print and preferred to suggest the grill resembled a “horse collar” or “toilet seat” although the latter was (literally) a bit of a stretch and anyway already used of some of the trunk (boot) lids on Chryslers styled to excess by Virgil Exner (1909–1973); more memorable was Time magazine’s “an Oldsmobile sucking a lemon”.

Quirkiness coming & going: 1958 Edsel Bermuda “Woody” station wagon.

The “woody” nickname was applied to the station wagons from all manufacturers although after the early 1950s the “wood” was a combination of fibreglass and the DI-NOC plastic appliqué, the look intended to evoke that of the partially timbered-bodied station wagons in production until the early 1950s.  Strangely, Chrysler and Mercury in the 1960s even did a few convertibles with the stuff glued on (recalling some earlier such things from the 1940s which used real wood), the former later unable to resist the temptation for the vaguely cartoonesque LeBaron Town & Country convertible (1983-1984).  Ford’s attempt in the 1960s to persuade British & Australian buyers of station wagons DI-NOC was charming proved brief and unsuccessful but in the domestic market the popularity lasted until 1990s.  As much as the sedans and convertibles, Edsel station wagons were just as unwanted.  The Bermuda was offered only for the 1958 model year and it sold a dismal 2,235, with 779 of the nine-seater version with an additional row of seating in the rear section, a configuration always popular with US buyers in the era of larger families and before the age of mini-vans and SUVs (sports utility vehicles).  The three-row Bermuda was the rarest of the 1958 Edsels but collectors still price them below the convertibles, reflecting the usual practice in which (with the odd exception), convertible coach-work trumps all other styles.  If the vulva-themed front end was confronting, there was a strangeness too at the rear, the turn-indicator lights in the shape of an arrow, a traditional symbol to indicate one's intended direction of travel but bizarrely, the Edsel’s arrows pointed the opposite way, something necessitated by the need to blend the shape with that of the body’s side moldings.  In little more than two years, Edsel went from "too much, too soon", to "too little, too late".

1959 Edsel Villager 6 passenger Station Wagon.

Like the grill, for 1959 the tail of the station wagon was toned-down from bizarre to baroque.  It didn’t much stimulate demand and only 5,687 were sold while in the same season, Ford shifted 147,748 station wagons (123,412 Country Sedans & 24,336 Country Squires).  In 1958 the relationship between the Villager & Bermuda had reflected that of Ford’s Country Sedan to the more expensive (and DI-NOCed) Country Squire and while Ford would for decades top the station wagon sales charts, after 1960 the only more expensive versions offered by the corporation would be Mercurys.  As a footnote, along with the Ranger, the Villager did survive as part of the quixotic 1960 range when a mere 275 left the line, lending it the dubious distinction of being the rarest Edsel station wagon.  Despite that usually compelling statistic, collectors still prefer the 1958 & 1959 wagons, probably because the 1960 models lack the distinctive grill which is the most identifiable part of an Edsel's once dubious "brand identity".

A J.D. Vance meme with sofa (in US memes referred to usually as a "couch").

The Edsel ran its historic race more than a decade before the Watergate scandal so there was never a "grillgate" or "Edselgate" but the vulva did in 2024 return to the news with couchgate-themed memes.  In July that year, a post appeared on X (formerly known as Twitter) claiming there was a passage in J.D. Vance’s (b 1984; VPOTUS since 2025) book Hillbilly Elegy: A Memoir of a Family and Culture in Crisis (2016) in which the then Ohio senator (Republican) boasted of having enjoyed a sexual act with a latex glove, strategically placed between a sofa’s cushions.

It was fake news and nothing in the book even hinted at such an experience but quickly the post went viral; it once could take years for urban myths to spread around a few counties but in the social media age such things wiz around the planet in minutes.  Quickly the tale was debunked but couchgate was a popular choice among the meme-makers and it says something about US politics that so many really wanted to believe "couchgate" was true.  Whether latex glove sales rose because suddenly there were those wishing to experience the hopefully novel technique, isn't known.

After Pope Francis (1936-2025; pope 2013-2025) died, posts began to circulate noting that hours before he dropped dead he'd had an audience with recent Catholic-convert J.D. Vance and comparisons were made with the death of Elizabeth II (1926-2022; Queen of the UK 1952-2022) coming barely 48 hours after meeting Liz Truss (b 1975; UK prime-minister Sep-Oct 2022).  The pope of course was head of the Roman Catholic Church and the queen was Supreme Governor of the Church of England and it seemed striking both should succumb so soon after the pleasure of their conversation with a right-wing fanatic.  Just bad luck.

For most of the republic's existence, holders of the office of vice-president tended to be obscure figures noted only if they turned out to be crooks like Spiro Agnew (1918–1996; VPOTUS 1969-1973) or assumed the presidency in one circumstance or another and during the nineteenth century there was a joke about two brothers: “One ran off to sea and the other became vice-president; neither were ever heard from again.  That was an exaggeration but it reflected the general view of the office which has few formal duties and can only ever be as powerful or influential as a president allows although the incumbent is “a heartbeat from the presidency”.  John Nance Garner III (1868–1967, VPOTUS 1933-1941), a reasonable judge of these things, once told Lyndon Johnson (LBJ, 1908–1973; VPOTUS 1961-1963 & POTUS 1963-1969) being VPOTUS was “not worth a bucket of warm piss” (which in polite company usually is sanitized as “...bucket of warm spit”).  In the US, a number of VPOTUSs have become POTUS  and some have worked out well although of late the record has not been encouraging, the presidencies of Lyndon Johnson, Richard Nixon (1913-1994; VPOTUS 1953-1961, POTUS 1969-1974) and Joe Biden (b 1942; VPOTUS 2008-2017, POTUS 2021-2025) all ending badly, in despair, disgrace and decrepitude respectively.

Still, in the post-war years, the VPOTUS has often assumed a higher profile or been judged to be more influential, the latter certainly true of Dick Cheney (b 1941; VPOTUS 2001-2009) and some have even been given specific responsibilities such as LBJ’s role as titular head of the space program (which worked out well) or Kamala Harris co-ordinating the response to difficulties on the southern border (a role in which either she failed or never attempted depending on the source).  So wonderfully unpredictable is Donald Trump that quite what form the Vance VPOTUSship will assume is guesswork but conspiracy theorists already are speculating part of MAGA forward-planning is to have Mr Vance elected POTUS in 2028, simply as part of a work-around in a constitutional jigsaw puzzle.

The conspiracy revolves around the words in Section 1 of the Twenty-second Amendment: “No person shall be elected to the office of the President more than twice” and even the most optimistic MAGA lawyers concede not even Brett Kavanaugh (b 1965; SCOTUS associate justice since 2018) or Clarence Thomas (b 1948; SCOTUS since 1991) could construct an interpretation which would allow Mr Trump to be elected for a third term.  The constitution is however silent on whether any person may serve a third (or fourth, or fifth!) term so that makes possible the following sequence.

(1) In the 2028 election J.D.Vance is elected POTUS and somebody else (matters not who) is elected VPOTUS.

(2) J.D. Vance and somebody else (matters not who) are sworn into office as POTUS & VPOTUS respectively.

(3) Somebody else (matters not who) resigns as VPOTUS.

(4) J.D. Vance appoints Donald Trump as VPOTUS who is duly sworn-in.

(5) J.D. Vance resigns as POTUS and, as the constitution dictates. Donald Trump becomes POTUS and is duly sworn-in.

(6) Donald Trump appoints J.D.Vance as VPOTUS.

Whatever the politics, constitutionally, there is nothing controversial about those six steps because there’s a precedent, the sequence following what happened between 1968 when Nixon & Agnew were elected POTUS and VPOTUS and 1974 when the offices were held respectively by Gerald Ford (1913–2006; VPOTUS 1973-1974 & POTUS 1974-1977) and Nelson Rockefeller (1908–1979; VPOTUS 1974-1977), neither of the latter pair having been elected.  Of course, in January 2029 somebody else (matters not who) would be a “left-over” but he (it seems a reasonable assumption somebody else (matters not who) will be male) can, depending on this and that, be appointed something like Secretary of Agriculture or a to sinecure such as an ambassadorship to a nice (non-shithole) country with a pleasant climate and a majority white population.