Were there two forms of Stegosaurus?
WWere there two forms of
Stegosaurus ? Robert P. Cameron ∗ , John A. Cameron and Stephen M. Barnett School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom ∗ [email protected] We recognise that
Stegosaurus exhibited exterior chirality and could, therefore, have assumed eitherof two distinct, mirror-image forms. Our preliminary investigations suggest that both existed.
Stegosaurus ’s exterior chirality raises new questions such as the validity of well-known exhibits whilstoffering new insights into long-standing questions such as the function of the plates. We inform ourdiscussions throughout with examples of modern-day animals that exhibit exterior chirality.
Stegosaurus was discovered well over a century ago, dur-ing the infamous Bone Wars [1]. It remains one of themost readily recognisable genera of dinosaurs, owing toits distinctive plates. The precise arrangement of theseplates and, indeed, their function, have been the subjectof much debate, however [2–9]. The currently favouredreconstruction sees them stand upright in two staggeredrows that run the length of the beast, as evidenced for
Stegosaurus stenops in particular by the holotype of thisspecies [7, 10–12] and other articulated skeletons besides[3]. The present paper is concerned with a subtle ge-ometrical property inherent to
Stegosaurus ’s plates andits implications.The word chiral was introduced to describe any geo-metrical figure or group of points that cannot be broughtinto coincidence with its mirror image, thus possessinga sense of handedness [13]. It derives from the Greekword for hand; χ(cid:15) ´ ιρα [14]. Chirality pervades the natu-ral world, from the enigmatic preferences of fundamentalphysical forces [15, 16] to the arms of spiral galaxies [17].It is of particular importance to life, as the molecules thatcomprise living things are invariably chiral and their chi-rality is crucial to their biological function [18, 19].In spite of this, the overwhelming majority of livingthings possess rather symmetrical, achiral exteriorforms, leaving but a small handful of living things thatinstead boast exterior chirality, outwardly defying mirrorsymmetry [18–21]. The shell of the escargot snail Helixpomatia , for example, is manifestly chiral as it mayexhibit either a left- or a right-handed twisting form,these being non-superposable mirror images of eachother, as seen in FIG. 1.
FIG. 1.
Helix pomatia ’s shell differs from its mirror imageand is thus chiral [22]. FIG. 2.
Stegosaurus ’s plates differ from their mirror imageand are thus chiral.
It seems that
Stegosaurus also exhibited exteriorchirality. The currently favoured arrangement of
Stegosaurus ’s plates is clearly distinct from its mirrorimage, as seen in FIG. 2. Moreover, some of the platesdisplay subtle exterior chirality individually [7, 8] and notwo plates of the same size and shape have ever beenfound for the same specimen [5, 7, 8]. In spite of itssimplicity, this observation, that
Stegosaurus exhibitedexterior chirality, does not appear to have been made ex-plicitly before and, more importantly, its implications donot appear to have been recognised.
Stegosaurus ’s platesand their arrangement have certainly been described asbeing “asymmetrical” [5, 7, 8], but this is not quite syn-onymous with being chiral [23]. Chirality carries withit the connotation that the mirror-image form is also vi-able, whether it exists naturally or not. In this sense,chirality is as much about symmetry as the lack thereof.The term dissymmetry , introduced by Pasteur, comes tomind in this regard. As Barron wrote “Dissymmetric fig-ures are not necessarily asymmetric , that is devoid of allsymmetry elements ... However, dissymmetry excludesimproper rotation axes, that is centres of inversion, re-flection planes and rotation-reflection axes.” [23].Just as one can distinguish between two distinct,mirror-image forms of snail on the basis of whether theshell twists in a left- or a right-handed manner, we dis-tinguish between two distinct, mirror-image forms of
Stegosaurus , depending on whether the largest plate, lo-cated over the base of the tail for
Stegosaurus stenops atleast [3, 7, 10], tilts to the left or to the right as seen when a r X i v : . [ q - b i o . P E ] A ug looking down upon a specimen. We designate these (L) Stegosaurus and (R)
Stegosaurus , respectively.A variety of interesting questions follow. Our goal hereis not to try and answer these definitively but rather tohighlight their existence for the benefit of future discus-sions. Many of these ideas may be subtly interrelated, ofcourse.In what proportion did (L)
Stegosaurus and (R)
Stegosaurus specimens exist, for a given species, gen-der and location? Perhaps one form was geneticallyfavoured with the other being found only rarely dueto mutation, as in the case of
Helix pomatia which isfound predominantly in its right-handed form, with per-haps 1 in 20,000 specimens having a left-handed forminstead [19]. Another possibility is that (L)
Stegosaurus and (R)
Stegosaurus existed in equal proportion, as inthe case of the Portugese man-o’-war
Physalia physalis which is equally likely to be born with its sail pointingto the left or to the right, perhaps to reduce the risk ofall offspring being washed ashore [20]. For the species
Stegosaurus stenops (gender unknown) in Colorado, theholotype [5, 7, 10–12] appears to have belonged to an(R) specimen whereas the “Small skeleton” [3] may, per-haps, have belonged to an (L) specimen, an assignmentthat seems to be in accord with Carpenter’s own figuresat least [3]. Tentatively then, it seems we have a posi-tive answer to our question: yes, there were two forms of
Stegosaurus . The interpretation of these remains is farfrom unambiguous, however, and there may yet be a sub-tle twist besides: the illustrations of the holotype seen in[5, 7, 10] appear to derive from lithographic plates andcould, therefore, indicate the wrong chirality, as litho-graphic techniques often yield reversed images [19]. In anattempt to clarify this issue, we scrutinised the wonder-ful monograph by Gilmore [7], who prepared the holotypefor exhibition at the United States National Museum inWashington D.C., now the National Museum of Natu-ral History. There we found an explicit statement byhim that the specimen was indeed found lying “on itsleft side”, which is in accord with our suggestion of (R)chirality. Gilmore justifies this statement, however, byquoting a letter written by Welch (who discovered thespecimen) to Marsh (who announced the discovery [12])in turn as “the animal lay on its left side and up againstthe bank of our river bed, bringing its left [right] hipthe highest, the right [left] hip and some bones havingslid downhill toward the bottom of the bed”. WithoutGilmore’s corrections, in square brackets, this descrip-tion is, in fact, ambiguous with regards to the chiralityof the specimen. It seems likely that Gilmore and, in-deed, Lucas (who examined the holotype before Gilmore[7]) would have had additional information that guidedthese choices. Further digging on this matter is requiredin order to be certain, however.Did
Stegosaurus chirality vary between species? Forexample, the American lightning whelk
Busycon contrar-ium is found predominantly with its shell twisting ina left-handed manner whereas the American channelled whelk
Busycon canaliculatum is found predominantlywith its shell twisting in a right-handed manner [19]. Oneof the most complete
Stegosaurus skeletons in the worldwas initially ascribed to the species
Stegosaurus arma-tus and named “Sarah”, after the daughter of one JohnEd Anderson; the owner of the “Red Canyon Ranch” inWyoming where “Sarah” (the
Stegosauru s, gender un-known) was found [24]. “Sarah” appears to have been an(R) specimen [24], matching the (R) chirality suggestedabove for the
Stegosaurus stenops holotype . “Sarah” hasrecently been ascribed to the species
Stegosaurus stenops and renamed “Sophie”, after the daughter of one JeremyHerrmann; a generous donor to the Natural History Mu-seum in London [25].
FIG. 3. Exterior chirality can yield information about migra-tion, as in the case of
Velella velella , specimens of which tackin different directions depending upon the orientation of theirsails relative to their bodies [18, 27].
Did
Stegosaurus chirality vary between genders? Forexample, the
Papaya flower has petals that twist clock-wise for females but anticlockwise for males [19]. Thisis a rather timely question, as it has been suggested re-cently that the plates of
Hesperosaurus mjosi , closely re-lated to the
Stegosaurus genus, differed in size and shapebetween males and females. If correct, this would con-stitute one of the few examples known of sexual dimor-phism in dinosaurs [26]. It is conceivable also that thechirality of the plates was important for the mechanicsof
Stegosaurus mating, which remain very poorly under-stood. An example of note here is that of the SouthAmerican tooth-carp
Anableps anableps , both genders ofwhich possess chiral sex organs such that any given speci-men is only capable of mating with half of the populationof the opposite gender [20].Did
Stegosaurus chirality vary with geography? Forexample, the marine polyp
Velella velella is found on theJapanese side of the Pacific with its sail directed one wayand the North American side of the Pacific with its saildirected the other way, as depicted in FIG. 3. It is be-lieved that these distinct, mirror-image forms occur inequal proportion in the middle of the Pacific and thatthe wind separates them [18]. Analogously, geographi-cal variations in
Stegosaurus chirality, if found, could aidin our understanding of
Stegosaurus migration: it wasthought until very recently that
Stegosaurus lived exclu-sively in North America; a paradigm that shifted with theunexpected discovery of a skeleton in Portugal ascribedto the species
Stegosaurus ungulates [28]. Unfortunately,this skeleton is insufficiently complete for us to specu-late as to chirality of the specimen for comparison withthe chiralities suggested above of
Stegosaurus specimensfrom North America.
FIG. 4. This (R)
Stegosaurus stenops skeleton on display atthe Natural History Museum in London [25] seems to be afaithful representation of the original specimen. The validityof other
Stegosaurus exhibits is less clear [29].
A particularly interesting question is whether or notskeletal reconstructions are truly faithful representationsof the animals to which the bones originally belonged.It could be, for example, that a skeleton unwittinglymounted as an (R)
Stegosaurus originally belonged toan (L)
Stegosaurus or vice-versa and is thus a subtlemisrepresentation. Gilmore exhibited the remains of the Stegosaurus stenops holotype in the same layout as theywere supposedly found [7], with (R) chirality. He also in-stalled a large mirror to make the underside of the skele-ton visible [7]. The creature seen in this mirror wouldhave had the opposite chirality, of course, to that of theexhibit itself. We can say with certainty then that oneof the two views of the
Stegosaurus stenops holotype onoffer constituted a faithful representation of the origi-nal specimen whilst the other did not. “Sophie” is alsomounted with (R) chirality at present, as seen in FIG.4. This matches the (R) chirality suggested above of theoriginal specimen. Analogous questions can be raisedwith regards to depictions of
Stegosaurus in popular cul-ture. The specimens shown in the 1997 film “The LostWorld: Jurassic Park”, for example, appear once moreto be of (R) chirality.Three main hypotheses for the function of
Stegosaurus ’s plates have been put forward overthe years. The chirality of the plates offers new insightshere. (i) It was first suggested that the plates served as a form of armour [1]. This is now thought to be unlikely,however, as the plates were seemingly too fragile andill-placed [3]. Indeed, it is known that
Stegosaurus engaged in fierce battles with
Allosaurus , during which
Allosaurus would occasionally bite off sizeable portionsof
Stegosaurus ’s plates with apparent ease [30]. Thechiral arrangement of the plates may be regarded asfurther evidence against their use in a mechanicallyprotective role, as it would have seen a specimen slightlymore vulnerable to attack from one side than the otherwith no obvious benefit. (ii) Another possibility isthat the plates served to regulate body temperature[2, 6]. The suggestion in particular that they actedas “forced convection fins” would seem to necessitatea staggered or “interrupted” pattern [6]. That is, thechiral arrangement of the plates but with no obviousreason to prefer (L)
Stegosaurus over (R)
Stegosaurus or vice-versa . These ideas are now thought to be unlikelyas similar dinosaurs with analogous but smaller dermalfeatures such as Kentrosaurus apparently flourishedin comparable climates [3]. (iii) The most popularidea at present is that the plates served as displaystructures, perhaps to ward off potential predators, toaid in identification or as a means of attracting mates[3, 4, 7]. The high degree of vascularisation evident inthe plates [2] has led in particular to claims that theycould “blush” so as to embellish their appearance [3, 4].The chirality of the plates makes the idea that theyserved as display structures seem all the more plausibleto us, for it is integral to their appearance. We notein particular that two staggered rows of plates gives amore substantial lateral profile than would two parallelrows of plates, for example, as the latter yields visiblegaps where the former has none. We are reminded hereof the eel
Leptocephalus diptychus , which is seen in itspost-larval stage to possess four spots on one side ofits body and three on the other. These spots alternatein position such that all seven can be seen from eitherside of the eel, which is otherwise transparent [20]. Thechiral arrangement of the plates may be thought of thenas a means of giving a body-length sail of maximisedapparent area whilst permitting freedom of movement.If we suppose that the purpose of this sail was to ward offpotential predators, we see no obvious reason to prefer(L)
Stegosaurus over (R)
Stegosaurus or vice-versa ,as the size alone of the sail would likely be its mostimportant characteristic. More subtle possibilities ariseif we suppose that the sail aided in identification or as ameans of attracting mates. A given specimen would haveappeared somewhat different when viewed from the leftor from the right and may, therefore, have preferred todisplay one side over the other, clearly distinguishing itshead and tail ends in the process. Such chiral behaviourwould likely need to be hard-wired given Stegosaurus ’sapparently limited mental capacity and so would seemto demand consistent exterior chirality between similarspecimens. Chiral behaviour is exhibited by kangaroosand wallabies, for example, which show a preference fortheir left forelimbs [31]. We recognise another possibilityhere. It seems likely that
Stegosaurus would have spentmuch of its time grazing in amongst luscious vegetationso as to maintain its enormous size, all the while hopingto avoid fierce antagonists like
Allosaurus . Stegosaurus ’sangular and slightly curved plates are not entirelyunlike the fronds of a fern, for example. It is at leastconceivable then that the plates functioned as a form ofcamouflage, with their chirality serving simply to give amore convincing appearance. We are reminded here ofvarious salamanders, frogs, butterflies and snakes thatexhibit chiral patternings as a form of camouflage [20].In this role there is again no obvious reason to prefer(L)
Stegosaurus over (R)
Stegosaurus or vice-versa . FIG. 5. An illustration of
Stegosaurus ’s exterior chirality.
Stegosaurus ’s exterior chirality may be of particularinterest to evolutionary biologists. It is one of the ear-liest examples known to us of exterior chirality in a liv-ing thing. Moreover, exterior chirality is especially rare amongst present-day reptiles and birds [19].Tacit in the above is a focus upon adolescent and adultspecimens. It has been suggested that the “asymmetry”of the plates’ arrangement may have been absent from ju-veniles, appearing only in later life, the dermal spikes ofthe rhinoceros iguana
Cyclura cornuta having been citedby way of example [5]. Remains found more recently sug-gest that juveniles may not have had plates at all [32].We are reminded here of flatfish such as the starry floun-der
Platichthys stellatus . These too are born as seeminglysymmetrical creatures only to develop exterior chiralitythereafter [18, 33]. If it is indeed the case that the prin-cipal role of the plates was for display in courtship, thenit is even possible that only males had well-developedplates. This would go some way, of course, towards de-mystifying the mechanics of
Stegosaurus mating.Progress would be greatly advanced, of course, by amore expansive survey of
Stegosaurus ’s exterior chiral-ity. At first glance this would seem to require that morearticulated skeletons be discovered. Certainly chiralityshould be in the minds of those lucky enough to makesuch finds. An expansive survey may already be viable,however, given the current fossil record. It may be pos-sible to distinguish between (L) and (R) specimens byconsidering the size and shape of individual plates alone[7, 8], which would negate the need for articulated skele-tons. Partial skeletons or even single plates may also beof value in this exercise if they bear marks from preda-tion. A predator, such as
Allosaurus , would have bitteninto plates closest to it and if the orientation of the bitecan be determined from the remaining teeth marks indamaged
Stegosaurus plates [30], then the arrangementof the plates and hence the specimen’s exterior chiralityshould follow.It is our hope that the present paper will inspire ex-plicit consideration of exterior chirality in future investi-gations of
Stegosaurus and, indeed, other such dinosaurs.This work was supported by the Engineeringand Physical Sciences Research Council under grantsEP/M004694/1 and EP/I012451/1. We thank RevinderChahal at the Natural History Museum in London forher swift and helpful correspondences. [1] O. C. Marsh. A new order of extinct Reptilia(Stegosauria) from the Jurassic of the Rocky Mountains.
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