The Life of the Spider

第6章

Withafewthreadsandsomesmallleavesjoinedtogether,theCrabSpiderbuilds,aboveherloftynest,arudimentarywatch-towerwhereshestayspermanently,greatlyemaciated,flattenedintoasortofwrinkledshellthroughtheemptyingofherovariesandthetotalabsenceoffood。Andthismereshred,hardlymorethanaskinthatpersistsinlivingwithouteating,stoutlydefendsheregg-sack,showsfightattheapproachofanytramp。Shedoesnotmakeuphermindtodieuntilthelittleonesaregone。

TheLabyrinthSpiderisbettertreated。Afterlayinghereggs,sofarfrombecomingthin,shepreservesanexcellentappearanceandaroundbelly。Moreover,shedoesnotloseherappetiteandisalwayspreparedtobleedaLocust。Shethereforerequiresadwellingwithahunting-boxclosetotheeggswatchedover。Weknowthisdwelling,builtinstrictaccordancewithartisticcanonsundertheshelterofmycages。

Rememberthemagnificentovalguard-room,runningintoavestibuleateitherend;theegg-chamberslunginthecentreandisolatedoneverysidebyhalfascoreofpillars;thefront-hallexpandingintoawidemouthandsurmountedbyanetworkoftautthreadsformingatrap。Thesemi-transparencyofthewallsallowsustoseetheSpiderengagedinherhouseholdaffairs。Hercloisterofvaultedpassagesenableshertoproceedtoanypointofthestar-

shapedpouchcontainingtheeggs。Indefatigableinherrounds,shestopshereandthere;shefondlyfeelsthesatin,listenstothesecretsofthewallet。IfIshakethenetatanypointwithastraw,shequicklyrunsuptoenquirewhatishappening。WillthisvigilancefrightenofftheIchneumonandotherloversofomelettes?

Perhapsso。But,thoughthisdangerbeaverted,otherswillcomewhenthemotherisnolongerthere。

Herattentivewatchdoesnotmakeheroverlookhermeals。OneoftheLocustswhereofIrenewthesupplyatintervalsinthecagesiscaughtinthecordsofthegreatentrance-hall。TheSpiderarriveshurriedly,snatchesthegiddy-pateanddisjointshisshanks,whichsheemptiesoftheircontents,thebestpartoftheinsect。Theremainderofthecarcassisafterwardsdrainedmoreorless,accordingtoherappetiteatthetime。Themealistakenoutsidetheguard-room,onthethreshold,neverindoors。

Thesearenotcapriciousmouthfuls,servingtobeguiletheboredomofthewatchforabriefwhile;theyaresubstantialrepasts,whichrequireseveralsittings。Suchanappetiteastonishesme,afterI

haveseentheCrabSpider,thatnolessardentwatcher,refusetheBeeswhomIgiveherandallowherselftodieofinanition。Canthisothermotherhavesogreataneedasthattoeat?Yes,certainlyshehas;andforanimperativereason。

Atthebeginningofherwork,shespentalargeamountofsilk,perhapsallthatherreservescontained;forthedoubledwelling——

forherselfandforheroffspring——isahugeedifice,exceedinglycostlyinmaterials;andyet,fornearlyanothermonth,Iseeheraddinglayeruponlayerbothtothewallofthelargecabinandtothatofthecentralchamber,somuchsothatthetexture,whichatfirstwastranslucentgauze,becomesopaquesatin。Thewallsneverseemthickenough;theSpiderisalwaysworkingatthem。Tosatisfythislavishexpenditure,shemustincessantly,bymeansoffeeding,fillhersilk-glandsasandwhensheemptiesthembyspinning。Foodisthemeanswherebyshekeepstheinexhaustiblefactorygoing。

Amonthpassesand,aboutthemiddleofSeptember,thelittleoneshatch,butwithoutleavingtheirtabernacle,wheretheyaretospendthewinterpackedinsoftwadding。Themothercontinuestowatchandspin,lesseningheractivityfromdaytoday。SherecruitsherselfwithaLocustatlongerintervals;shesometimesscornsthosewhomImyselfentangleinhertrap。Thisincreasingabstemiousness,asignofdecrepitude,slackensandatlaststopstheworkofthespinnerets。

Forfourorfiveweekslonger,themotherneverceasesherleisurelyinspection-rounds,happyathearingthenew-bornSpidersswarminginthewallet。Atlength,whenOctoberends,sheclutchesheroffspring’snurseryanddieswithered。Shehasdoneallthatmaternaldevotioncando;thespecialprovidenceoftinyanimalswilldotherest。Whenspringcomes,theyoungsterswillemergefromtheirsnughabitation,disperseallovertheneighbourhoodbytheexpedientofthefloatingthreadandweavetheirfirstattemptsatalabyrinthonthetuftsofthyme。

Accurateinstructureandneatinsilk-workthoughtheybe,thenestsofthecagedcaptivesdonottelluseverything;wemustgobacktowhathappensinthefields,withtheircomplicatedconditions。TowardstheendofDecember,Iagainsetoutinsearch,aidedbyallmyyouthfulcollaborators。Weinspectthestuntedrosemariesalongtheedgeofapathshelteredbyarocky,woodedslope;weliftthebranchesthatspreadovertheground。

Ourzealisrewardedwithsuccess。Inacoupleofhours,Iamtheownerofsomenests。

Pitifulpiecesofworkarethey,injuredbeyondrecognitionbytheassaultsoftheweather!Itneedstheeyesoffaithtoseeintheseruinstheequivalentoftheedificesbuiltinsidemycages。

Fastenedtothecreepingbranch,theunsightlybundleliesonthesandheapedupbytherains。Oak-leaves,roughlyjoinedbyafewthreads,wrapitallround。Oneoftheseleaves,largerthantheothers,roofsitinandservesasascaffoldingforthewholeoftheceiling。Ifwedidnotseethesilkyremnantsofthetwovestibulesprojectingandfeelacertainresistancewhenseparatingthepartsofthebundle,wemighttakethethingforacasualaccumulation,theworkoftherainandthewind。

Letusexamineourfindandlookmorecloselyintoitsshapelessness。Hereisthelargeroom,thematernalcabin,whichripsasthecoatingofleavesisremoved;herearethecirculargalleriesoftheguard-room;herearethecentralchamberanditspillars,allinafabricofimmaculatewhite。Thedirtfromthedampgroundhasnotpenetratedtothisdwellingprotectedbyitswrapperofdeadleaves。

Nowopenthehabitationoftheoffspring。Whatisthis?Tomyutterastonishment,thecontentsofthechamberareakernelofearthymatters,asthoughthemuddyrain-waterhadbeenallowedtosoakthrough。Putasidethatidea,saysthesatinwall,whichitselfisperfectlycleaninside。Itismostcertainlythemother’sdoing,adeliberatepieceofwork,executedwithminutecare。Thegrainsofsandarestucktogetherwithacementofsilk;

andthewholeresiststhepressureofthefingers。

Ifwecontinuetounshellthekernel,wefind,belowthisminerallayer,alastsilkentunicthatformsaglobearoundthebrood。Nosoonerdowetearthisfinalcoveringthanthefrightenedlittleonesrunawayandscatterwithanagilitythatissingularatthiscoldandtorpidseason。

Tosumup,whenworkinginthenaturalstate,theLabyrinthSpiderbuildsaroundtheeggs,betweentwosheetsofsatin,awallcomposedofagreatdealofsandandalittlesilk。TostoptheIchneumon’sprobeandtheteethoftheotherravagers,thebestthingthatoccurredtoherwasthishoardingwhichcombinesthehardnessofflintwiththesoftnessofmuslin。

ThismeansofdefenceseemstobeprettyfrequentamongSpiders。

OurownbigHouseSpider,Tegenariadomestica,encloseshereggsinaglobulestrengthenedwitharindofsilkandofcrumblywreckagefromthemortarofthewalls。Otherspecies,livingintheopenunderstones,workinthesameway。Theywraptheireggsinamineralshellheldtogetherwithsilk。Thesamefearshaveinspiredthesameprotectivemethods。

Thenhowcomesitthat,ofthefivemothersrearedinmycages,notonehashadrecoursetotheclayrampart?Afterall,sandabounded:thepansinwhichthewire-gauzecoversstoodwerefullofit。Ontheotherhand,undernormalconditions,Ihaveoftencomeacrossnestswithoutanymineralcasing。Theseincompletenestswereplacedatsomeheightfromtheground,inthethickofthebrushwood;theothers,onthecontrary,thosesuppliedwithacoatingofsand,layontheground。

Themethodoftheworkexplainsthesedifferences。Theconcreteofourbuildingsisobtainedbythesimultaneousmanipulationofgravelandmortar。Inthesameway,theSpidermixesthecementofthesilkwiththegrainsofsand;thespinneretsneverceaseworking,whilethelegsflingundertheadhesivespraythesolidmaterialscollectedintheimmediateneighbourhood。Theoperationwouldbeimpossibleif,aftercementingeachgrainofsand,itwerenecessarytostoptheworkofthespinneretsandgotoadistancetofetchfurtherstonyelements。Thosematerialshavetoberightunderherlegs;otherwisetheSpiderdoeswithoutandcontinuesherworkjustthesame。

Inmycages,thesandistoofaroff。Toobtainit,theSpiderwouldhavetoleavethetopofthedome,wherethenestisbeingbuiltonitstrellis-worksupport;shewouldhavetocomedownsomenineinches。Theworkerrefusestotakethistrouble,which,ifrepeatedinthecaseofeachgrain,wouldmaketheactionofthespinneretstooirksome。Shealsorefusestodosowhen,forreasonswhichIhavenotfathomed,thesitechosenissomewayupinthetuftofrosemary。But,whenthenesttouchestheground,theclayrampartisnevermissing。

Arewetoseeinthisfactproofofaninstinctcapableofmodification,eithermakingfordecadenceandgraduallyneglectingwhatwastheancestors’safeguard,ormakingforprogressandadvancing,hesitatingly,towardsperfectioninthemason’sart?Noinferenceispermissibleineitherdirection。TheLabyrinthSpiderhassimplytaughtusthatinstinctpossessesresourceswhichareemployedorleftlatentaccordingtotheconditionsofthemoment。

Placesandunderherlegsandthespinstresswillkneadconcrete;

refuseherthatsand,orputitoutofherreach,andtheSpiderwillremainasimplesilk-worker,alwaysready,however,toturnmasonunderfavourableconditions。Theaggregateofthingsthatcomewithintheobserver’sscopeprovesthatitweremadtoexpectfromheranyfurtherinnovations,suchaswouldutterlychangehermethodsofmanufactureandcauseher,forinstance,toabandonhercabin,withitstwoentrance-hallsanditsstar-liketabernacle,infavouroftheBandedEpeira’spear-shapedgourd。

CHAPTERXVI:THECLOTHOSPIDER

SheisnamedDurand’sClotho(ClothoDurandi,LATR。),inmemoryofhimwhofirstcalledattentiontothisparticularSpider。Toenteroneternityunderthesafe-conductofadiminutiveanimalwhichsavesusfromspeedyoblivionunderthemallowsandrocketsisnocontemptibleadvantage。Mostmendisappearwithoutleavinganechotorepeattheirname;theylieburiedinforgetfulness,theworstofgraves。

Others,amongthenaturalists,benefitbythedesignationgiventothisorthatobjectinlife’streasure-house:itistheskiffwhereintheykeepafloatforabriefwhile。Apatchoflichenonthebarkofanoldtree,abladeofgrass,apunybeastie:anyoneofthesehandsdownaman’snametoposterityaseffectivelyasanewcomet。Forallitsabuses,thismannerofhonouringthedepartediseminentlyrespectable。Ifwewouldcarveanepitaphofsomeduration,whatcouldwefindbetterthanaBeetle’swing-case,aSnail’sshelloraSpider’sweb?Graniteisworthnoneofthem。

Entrustedtothehardstone,aninscriptionbecomesobliterated;

entrustedtoaButterfly’swing,itisindestructible。’Durand,’

therefore,byallmeans。

Butwhydragin’Clotho’?Isitthewhimofanomenclator,atalossforwordstodenotetheever-swellingtideofbeaststhatrequirecataloguing?Notentirely。Amythologicalnamecametohismind,onewhichsoundedwellandwhich,moreover,wasnotoutofplaceindesignatingaspinstress。TheClothoofantiquityistheyoungestofthethreeFates;sheholdsthedistaffwhenceourdestiniesarespun,adistaffwoundwithplentyofroughflocks,justafewshredsofsilkand,veryrarely,athinstrandofgold。

Prettilyshapedandclad,asfarasaSpidercanbe,theClothoofthenaturalistsis,aboveall,ahighlytalentedspinstress;andthisisthereasonwhysheiscalledafterthedistaff-bearingdeityoftheinfernalregions。Itisapitythattheanalogyextendsnofurther。ThemythologicalClotho,niggardlywithhersilkandlavishwithhercoarseflocks,spinsusaharshexistence;

theeight-leggedClothousesnaughtbutexquisitesilk。Sheworksforherself;theotherworksforus,whoarehardlyworththetrouble。

Wouldwemakeheracquaintance?Ontherockyslopesintheoliveland,scorchedandblisteredbythesun,turnovertheflatstones,thoseofafairsize;search,aboveall,thepileswhichtheshepherdssetupforaseatwhencetowatchthesheepbrowsingamongstthelavenderbelow。Donotbetooeasilydisheartened:

theClothoisrare;noteveryspotsuitsher。Iffortunesmileatlastuponourperseverance,weshallsee,clingingtothelowersurfaceofthestonewhichwehavelifted,anedificeofaweather-

beatenaspect,shapedlikeanover-turnedcupolaandaboutthesizeofhalfatangerineorange。Theoutsideisencrustedorhungwithsmallshells,particlesofearthand,especially,driedinsects。

Theedgeofthecupolaisscallopedintoadozenangularlobes,thepointsofwhichspreadandarefixedtothestone。Inbetweenthesestrapsisthesamenumberofspaciousinvertedarches。ThewholerepresentstheIshmaelite’scamel-hairtent,butupsidedown。

Aflatroof,stretchedbetweenthestraps,closesthetopofthedwelling。

Thenwhereistheentrance?Allthearchesoftheedgeopenupontheroof;notoneleadstotheinterior。Theeyeseeksinvain;

thereisnothingtopointtoapassagebetweentheinsideandtheoutside。Yettheownerofthehousemustgooutfromtimetotime,wereitonlyinsearchoffood;onreturningfromherexpedition,shemustgoinagain。Howdoesshemakeherexitsandherentrances?Astrawwilltellusthesecret。

Passitoverthethresholdofthevariousarches。Everywhere,thesearchingstrawencountersresistance;everywhere,itfindstheplacerigorouslyclosed。Butoneofthescallops,differinginnowisefromtheothersinappearance,ifcleverlycoaxed,opensattheedgeintotwolipsandstandsslightlyajar。Thisisthedoor,whichatonceshutsagainofitsownelasticity。Noristhisall:

theSpider,whenshereturnshome,oftenboltsherselfin,thatistosay,shejoinsandfastensthetwoleavesofthedoorwithalittlesilk。

TheMasonMygaleisnosaferinherburrow,withitslidundistinguishablefromthesoilandmovingonahinge,thanistheClothoinhertent,whichisinviolablebyanyenemyignorantofthedevice。TheClotho,whenindanger,runsquicklyhome;sheopensthechinkwithatouchofherclaw,entersanddisappears。

Thedoorclosesofitselfandissupplied,incaseofneed,withalockconsistingofafewthreads。Noburglar,ledastraybythemultiplicityofarches,oneandallalike,willeverdiscoverhowthefugitivevanishedsosuddenly。

WhiletheClothodisplaysamoresimpleingenuityasregardsherdefensivemachinery,sheisincomparablyaheadoftheMygaleinthematterofdomesticcomfort。Letusopenhercabin。Whatluxury!

WearetaughthowaSybariteofoldwasunabletorest,owingtothepresenceofacrumpledrose-leafinhisbed。TheClothoisquiteasfastidious。Hercouchismoredelicatethanswan’s-downandwhiterthanthefleeceofthecloudswherebroodthesummerstorms。Itistheidealblanket。Aboveisacanopyortesterofequalsoftness。BetweenthetwonestlestheSpider,short-legged,cladinsombregarments,withfiveyellowfavoursonherback。

Restinthisexquisiteretreatdemandsperfectstability,especiallyongustydays,whensharpdraughtspenetratebeneaththestone。Thisconditionisadmirablyfulfilled。Takeacarefullookatthehabitation。Thearchesthatgirdtheroofwithabalustradeandbeartheweightoftheedificearefixedtotheslabbytheirextremities。Moreover,fromeachpointofcontact,thereissuesaclusterofdivergingthreadsthatcreepalongthestoneandclingtoitthroughouttheirlength,whichspreadsafar。Ihavemeasuredsomefullynineincheslong。Thesearesomanycables;theyrepresenttheropesandpegsthatholdtheArab’stentinposition。

Withsuchsupportsasthese,sonumerousandsomethodicallyarranged,thehammockcannotbetornfromitsbearingssavebytheinterventionofbrutalmethodswithwhichtheSpiderneednotconcernherself,soseldomdotheyoccur。

Anotherdetailattractsourattention:whereastheinteriorofthehouseisexquisitelyclean,theoutsideiscoveredwithdirt,bitsofearth,chipsofrottenwood,littlepiecesofgravel。Oftenthereareworsethingsstill:theexteriorofthetentbecomesacharnel-house。Here,hunguporembedded,arethedrycarcassesofOpatra,AsidaeandotherTenebrionidae{39}thatfavourunderrockshelters;segmentsofIuli,{40}bleachedbythesun;shellsofPupae,{41}commonamongthestones;and,lastly,Snail-shells,selectedfromamongthesmallest。

Theserelicsareobviously,forthemostpart,table-leavings,brokenvictuals。Unversedinthetrapper’sart,theClothocourseshergameandlivesuponthevagrantswhowanderfromonestonetoanother。Whosoventuresundertheslabatnightisstrangledbythehostess;andthedried-upcarcass,insteadofbeingflungtoadistance,ishungtothesilkenwall,asthoughtheSpiderwishedtomakeabogey-houseofherhome。Butthiscannotbeheraim。Toactliketheogrewhohangshisvictimsfromthecastlebattlementsistheworstwaytodisarmsuspicioninthepassers-bywhomyouarelyinginwaittocapture。

Thereareotherreasonswhichincreaseourdoubts。Theshellshunguparemostoftenempty;buttherearealsosomeoccupiedbytheSnail,aliveanduntouched。WhatcantheClothodowithaPupacinerea,aPupaquadridensandothernarrowspiralswhereintheanimalretreatstoaninaccessibledepth?TheSpiderisincapableofbreakingthecalcareousshellorofgettingatthehermitthroughtheopening。Thenwhyshouldshecollectthoseprizes,whoseslimyfleshisprobablynottohertaste?Webegintosuspectasimplequestionofballastandbalance。TheHouseSpider,orTegenariadomestica,preventsherweb,spuninacornerofthewall,fromlosingitsshapeattheleastbreathofair,byloadingitwithcrumblingplasterandallowingtinyfragmentsofmortartoaccumulate。Arewefacetofacewithasimilarprocess?

Letustryexperiment,whichispreferabletoanyamountofconjecture。

ToreartheClothoisnotanarduousundertaking;wearenotobligedtotaketheheavyflagstone,onwhichthedwellingisbuilt,awaywithus。Averysimpleoperationsuffices。Iloosenthefasteningswithmypocket-knife。TheSpiderhassuchstay-at-

homewaysthatsheveryrarelymakesoff。Besides,Iusetheutmostdiscretioninmyrapeofthehouse。AndsoIcarryawaythebuilding,togetherwithitsowner,inapaperbag。

Theflatstones,whicharetooheavytomoveandwhichwouldoccupytoomuchroomuponmytable,arereplacedeitherbydealdisks,whichonceformedpartofcheese-boxes,orbyroundpiecesofcardboard。Iarrangeeachsilkenhammockunderoneofthesebyitself,fasteningtheangularprojections,onebyone,withstripsofgummedpaper。Thewholestandsonthreeshortpillarsandgivesaveryfairimitationoftheunderrockshelterintheformofasmalldolmen。Throughoutthisoperation,ifyouarecarefultoavoidshocksandjolts,theSpiderremainsindoors。Finally,eachapparatusisplacedunderawire-gauze,bell-shapedcage,whichstandsinadishfilledwithsand。

Wecanhaveananswerbythenextmorning。If,amongthecabinsswungfromtheceilingsofthedealorcardboarddolmens,therebeonethatisalldilapidated,thatwasseriouslyknockedoutofshapeatthetimeofremoval,theSpiderabandonsitduringthenightandinstalsherselfelsewhere,sometimesevenonthetrellis-

workofthewirecage。

Thenewtent,theworkofafewhours,attainshardlythediameterofatwo-francpiece。Itisbuilt,however,onthesameprinciplesastheoldmanor-houseandconsistsoftwothinsheetslaidoneabovetheother,theupperoneflatandformingatester,thelowercurvedandpocket-shaped。Thetextureisextremelydelicate:theleasttriflewoulddeformit,tothedetrimentoftheavailablespace,whichisalreadymuchreducedandonlyjustsufficientfortherecluse。

Well,whathastheSpiderdonetokeepthegossamerstretched,tosteadyitandtomakeitretainitsgreatestcapacity?Exactlywhatourstatictreatiseswouldadvisehertodo:shehasballastedherstructure,shehasdoneherbesttoloweritscentreofgravity。Fromtheconvexsurfaceofthepockethanglongchapletsofgrainsofsandstrungtogetherwithslendersilkencords。Tothesesandystalactites,whichformabushybeard,areaddedafewheavylumpshungseparatelyandlowerdown,attheendofathread。Thewholeisapieceofballast-work,anapparatusforensuringequilibriumandtension。

Thepresentedifice,hastilyconstructedinthespaceofanight,isthefrailroughsketchofwhatthehomewillafterwardsbecome。

Successivelayerswillbeaddedtoit;andthepartition-wallwillgrowintoathickblanketcapableofpartlyretaining,byitsownweight,therequisitecurveandcapacity。TheSpidernowabandonsthestalactitesofsand,whichwereusedtokeeptheoriginalpocketstretched,andconfinesherselftodumpingdownonherabodeanymoreorlessheavyobject,mainlycorpsesofinsects,becausesheneednotlookfortheseandfindsthemreadytohandaftereachmeal。Theyareweights,nottrophies;theytaketheplaceofmaterialsthatmustotherwisebecollectedfromadistanceandhoistedtothetop。Inthisway,abreastworkisobtainedthatstrengthensandsteadiesthehouse。Additionalequilibriumisoftensuppliedbytinyshellsandotherobjectshangingalongwaydown。

Whatwouldhappenifonerobbedanolddwelling,longsincecompleted,ofitsoutercovering?Incaseofsuchadisaster,wouldtheSpidergobacktothesandystalactites,asareadymeansofrestoringstability?Thisiseasilyascertained。Inmyhamletsunderwire,Iselectafair-sizedcabin。Istriptheexterior,carefullyremovinganyforeignbody。Thesilkreappearsinitsoriginalwhiteness。Thetentlooksmagnificent,butseemstometoolimp。

ThisisalsotheSpider’sopinion。Shesetstowork,nextevening,toputthingsright。Andhow?Oncemorewithhangingstringsofsand。Inafewnights,thesilkbagbristleswithalong,thickbeardofstalactites,acuriouspieceofwork,excellentlyadaptedtomaintainthewebinanunvariedcurve。Evensoarethecablesofasuspension-bridgesteadiedbytheweightofthesuperstructure。

Later,astheSpidergoesonfeeding,theremainsofthevictualsareembeddedinthewall,thesandisshakenandgraduallydropsawayandthehomeresumesitscharnel-houseappearance。Thisbringsustothesameconclusionasbefore:theClothoknowsherstatics;bymeansofadditionalweights,sheisabletolowerthecentreofgravityandthustogiveherdwellingtheproperequilibriumandcapacity。

Nowwhatdoesshedoinhersoftly-waddedhome?Nothing,thatI

knowof。Withafullstomach,herlegsluxuriouslystretchedoverthedownycarpet,shedoesnothing,thinksofnothing;shelistenstothesoundofearthrevolvingonitsaxis。Itisnotsleep,stilllessisitwaking;itisamiddlestatewherenaughtprevailssaveadreamyconsciousnessofwell-being。Weourselves,whencomfortablyinbed,enjoy,justbeforewefallasleep,afewmomentsofbliss,thepreludetocessationofthoughtanditstrainofworries;andthosemomentsareamongthesweetestinourlives。

TheClothoseemstoknowsimilarmomentsandtomakethemostofthem。

IfIpushopenthedoorofthecabin,invariablyIfindtheSpiderlyingmotionless,asthoughinendlessmeditation。Itneedstheteasingofastrawtorouseherfromherapathy。Itneedstheprickofhungertobringheroutofdoors;and,assheisextremelytemperate,herappearancesoutsidearefewandfarbetween。Duringthreeyearsofassiduousobservation,intheprivacyofmystudy,I

havenotonceseenherexplorethedomainofthewirecagebyday。

Notuntilalatehouratnightdoessheventureforthinquestofvictuals;anditishardlyfeasibletofollowheronherexcursions。

Patienceonceenabledmetofindher,atteno’clockintheevening,takingtheairontheflatroofofherhouse,whereshewasdoubtlesswaitingforthegametopass。Startledbythelightofmycandle,theloverofdarknessatoncereturnedindoors,refusingtorevealanyofhersecrets。Only,nextday,therewasonemorecorpsehangingfromthewallofthecabin,aproofthatthechasewassuccessfullyresumedaftermydeparture。

TheClotho,whoisnotonlynocturnal,butalsoexcessivelyshy,concealsherhabitsfromus;sheshowsusherworks,thoseprecioushistoricaldocuments,buthidesheractions,especiallythelaying,whichIestimateapproximatelytotakeplaceinOctober。Thesumtotaloftheeggsisdividedintofiveorsixsmall,flat,lentiformpockets,which,takentogether,occupythegreaterpartofthematernalhome。Thesecapsuleshaveeachtheirownpartition-wallofsuperbwhitesatin,buttheyaresocloselysoldered,bothtogetherandtothefloorofthehouse,thatitisimpossibletopartthemwithouttearingthem,impossible,therefore,toobtainthemseparately。Theeggsinallamounttoaboutahundred。

Themothersitsupontheheapofpocketswiththesamedevotionasabroodinghen。Maternityhasnotwitheredher。Althoughdecreasedinbulk,sheretainsanexcellentlookofhealth;herroundbellyandherwell-stretchedskintellusfromthefirstthatherpartisnotyetwhollyplayed。

Thehatchingtakesplaceearly。Novemberhasnotarrivedbeforethepocketscontaintheyoung:weethingscladinblack,withfiveyellowspecks,exactlyliketheirelders。Thenew-borndonotleavetheirrespectivenurseries。Packedclosetogether,theyspendthewholeofthewintryseasonthere,whilethemother,squattingonthepileofcells,watchesoverthegeneralsafety,withoutknowingherfamilyotherthanbythegentletrepidationsfeltthroughthepartitionsofthetinychambers。TheLabyrinthSpiderhasshownushowshemaintainsapermanentsittingfortwomonthsinherguard-room,todefend,incaseofneed,thebroodwhichshewillneversee。TheClothodoesthesameduringeightmonths,thusearningtherighttoseteyesforalittlewhileonherfamilytrottingaroundherinthemaincabinandtoassistatthefinalexodus,thegreatjourneyundertakenattheendofathread。

Whenthesummerheatarrives,inJune,theyoungones,probablyaidedbytheirmother,piercethewallsoftheircells,leavethematernaltent,ofwhichtheyknowthesecretoutletwell,taketheaironthethresholdforafewhoursandthenflyaway,carriedtosomedistancebyafunicularaeroplane,thefirstproductoftheirspinning-mill。

TheelderClothoremainsbehind,carelessofthisemigrationwhichleavesheralone。Sheisfarfrombeingfadedindeed,shelooksyoungerthanever。Herfreshcolour,herrobustappearancesuggestgreatlengthoflife,capableofproducingasecondfamily。OnthissubjectIhavebutonedocument,aprettyfar-reachingone,however。TherewereafewmotherswhoseactionsIhadthepatiencetowatch,despitethewearisomeminutiaeoftherearingandtheslownessoftheresult。Theseabandonedtheirdwellingsafterthedepartureoftheiryoung;andeachwenttoweaveanewoneforherselfonthewirenet-workofthecage。

Theywererough-and-readysummaries,theworkofanight。Twohangings,oneabovetheother,theupperoneflat,thelowerconcaveandballastedwithstalactitesofgrainsofsand,formedthenewhome,which,strengtheneddailybyfreshlayers,promisedtobecomesimilartotheoldone。WhydoestheSpiderdesertherformermansion,whichisinnowaydilapidated——farfromit——andstillexceedinglyserviceable,asfarasonecanjudge?UnlessI

ammistaken,IthinkIhaveaninklingofthereason。

Theoldcabin,comfortablywaddedthoughitbe,possessesseriousdisadvantages:itislitteredwiththeruinsofthechildren’snurseries。Theseruinsaresoclose-weldedtotherestofthehomethatmyforcepscannotextractthemwithoutdifficulty;andtoremovethemwouldbeanexhaustingbusinessfortheClothoandpossiblybeyondherstrength。ItisacaseoftheresistanceofGordianknots,whichnoteventheveryspinstresswhofastenedthemiscapableofuntying。Theencumberinglitter,therefore,willremain。

IftheSpiderweretostayalone,thereductionofspace,whenallissaid,wouldhardlymattertoher:shewantssolittleroom,merelyenoughtomovein!Besides,whenyouhavespentsevenoreightmonthsinthecrampingpresenceofthosebedchambers,whatcanbethereasonofasuddenneedforgreaterspace?Iseebutone:theSpiderrequiresaroomyhabitation,notforherself——sheissatisfiedwiththesmallestden——butforasecondfamily。Whereisshetoplacethepocketsofeggs,iftheruinsofthepreviouslayingremainintheway?Anewbroodrequiresanewhome。That,nodoubt,iswhy,feelingthatherovariesarenotyetdriedup,theSpidershiftsherquartersandfoundsanewestablishment。

Thefactsobservedareconfinedtothischangeofdwelling。I

regretthatotherinterestsandthedifficultiesattendantuponalongupbringingdidnotallowmetopursuethequestionanddefinitelytosettlethematteroftherepeatedlayingsandthelongevityoftheClotho,asIdidinthatoftheLycosa。

BeforetakingleaveofthisSpider,letusglanceatacuriousproblemwhichhasalreadybeensetbytheLycosa’soffspring。Whencarriedforsevenmonthsonthemother’sback,theykeepintrainingasagilegymnastswithouttakinganynourishment。Itisafamiliarexerciseforthem,afterafall,whichfrequentlyoccurs,toscrambleupalegoftheirmountandnimblytoresumetheirplaceinthesaddle。Theyexpendenergywithoutreceivinganymaterialsustenance。

ThesonsoftheClotho,theLabyrinthSpiderandmanyothersconfrontuswiththesameriddle:theymove,yetdonoteat。Atanyperiodofthenurserystage,evenintheheartofwinter,onthebleakdaysofJanuary,Itearthepocketsoftheoneandthetabernacleoftheother,expectingtofindtheswarmofyoungsterslyinginastateofcompleteinertia,numbedbythecoldandbylackoffood。Well,theresultisquitedifferent。Theinstanttheircellsarebrokenopen,theanchoritesrunoutandfleeineverydirectionasnimblyasatthebestmomentsoftheirnormalliberty。Itismarvelloustoseethemscamperingabout。NobroodofPartridges,stumbleduponbyaDog,scattersmorepromptly。

Chicks,whilestillnomorethantinyballsofyellowfluff,hastenupatthemother’scallandscurrytowardstheplateofrice。

Habithasmadeusindifferenttothespectacleofthoseprettylittleanimalmachines,whichworksonimblyandwithsuchprecision;wepaynoattention,sosimpledoesitallappeartous。

Scienceexaminesandlooksatthingsdifferently。Shesaystoherself:

’Nothingismadewithnothing。Thechickfeedsitself;itconsumesorratheritassimilatesandturnsthefoodintoheat,whichisconvertedintoenergy。’

Wereanyonetotellusofachickwhich,forsevenoreightmonthsonend,keptitselfinconditionforrunning,alwaysfit,alwaysbrisk,withouttakingtheleastbeakfulofnourishmentfromthedaywhenitlefttheegg,wecouldfindnowordsstrongenoughtoexpressourincredulity。NowthisparadoxofactivitymaintainedwithoutthestayoffoodisrealizedbytheClothoSpiderandothers。

IbelieveIhavemadeitsufficientlyclearthattheyoungLycosaetakenofoodaslongastheyremainwiththeirmother。Strictlyspeaking,doubtisjustadmissible,forobservationisneedsdumbastowhatmayhappenearlierorlaterwithinthemysteriesoftheburrow。Itseemspossiblethattherepletedmothermaytheredisgorgetoherfamilyamiteofthecontentsofhercrop。TothissuggestiontheClothoundertakestomakereply。

LiketheLycosa,sheliveswithherfamily;buttheClothoisseparatedfromthembythewallsofthecellsinwhichthelittleonesarehermeticallyenclosed。Inthiscondition,thetransmissionofsolidnourishmentbecomesimpossible。Shouldanyoneentertainatheoryofnutritivehumourscastupbythemotherandfilteringthroughthepartitionsatwhichtheprisonersmightcomeanddrink,theLabyrinthSpiderwouldatoncedispeltheidea。

Shediesafewweeksafterheryoungarehatched;andthechildren,stilllockedintheirsatinbed-chamberforthebestpartoftheyear,arenonethelessactive。

Canitbethattheyderivesustenancefromthesilkenwrapper?Dotheyeattheirhouse?Thesuppositionisnotabsurd,forwehaveseentheEpeirae,beforebeginninganewweb,swallowtheruinsoftheold。Buttheexplanationcannotbeaccepted,aswelearnfromtheLycosa,whosefamilyboastsnosilkyscreen。Inshort,itiscertainthattheyoung,ofwhateverspecies,takeabsolutelynonourishment。

Lastly,wewonderwhethertheymaypossesswithinthemselvesreservesthatcomefromtheegg,fattyorothermattersthegradualcombustionofwhichwouldbetransformedintomechanicalforce。Iftheexpenditureofenergywereofbutshortduration,afewhoursorafewdays,wecouldgladlywelcomethisideaofamotorviaticum,theattributeofeverycreaturebornintotheworld。Thechickpossessesitinahighdegree:itissteadyonitslegs,itmovesforalittlewhilewiththesoleaidofthefoodwherewiththeeggfurnishesit;butsoon,ifthestomachisnotkeptsupplied,thecentreofenergybecomesextinctandthebirddies。

Howwouldthechickfareifitwereexpected,forsevenoreightmonthswithoutstopping,tostandonitsfeet,torunabout,tofleeinthefaceofdanger?Wherewoulditstowthenecessaryreservesforsuchanamountofwork?

ThelittleSpider,inherturn,isaminuteparticleofnosizeatall。Wherecouldshestoreenoughfueltokeepupmobilityduringsolongaperiod?Theimaginationshrinksindismaybeforethethoughtofanatomendowedwithinexhaustiblemotiveoils。

Wemustneeds,therefore,appealtotheimmaterial,inparticulartoheat-rayscomingfromtheoutsideandconvertedintomovementbytheorganism。Thisisnutritionofenergyreducedtoitssimplestexpression:themotiveheat,insteadofbeingextractedfromthefood,isutilizeddirect,assuppliedbythesun,whichistheseatofalllife。Inertmatterhasdisconcertingsecrets,aswitnessradium;livingmatterhassecretsofitsown,whicharemorewonderfulstill。NothingtellsusthatsciencewillnotonedayturnthesuspicionsuggestedbytheSpiderintoanestablishedtruthandafundamentaltheoryofphysiology。

APPENDIX:THEGEOMETRYOFTHEEPEIRA’SWEB

Ifindmyselfconfrontedwithasubjectwhichisnotonlyhighlyinteresting,butsomewhatdifficult:notthatthesubjectisobscure;butitpresupposesinthereaderacertainknowledgeofgeometry:astrongmeattoooftenneglected。Iamnotaddressinggeometricians,whoaregenerallyindifferenttoquestionsofinstinct,norentomologicalcollectors,who,assuch,takenointerestinmathematicaltheorems;Iwriteforanyonewithsufficientintelligencetoenjoythelessonswhichtheinsectteaches。

WhatamItodo?TosuppressthischapterweretoleaveoutthemostremarkableinstanceofSpiderindustry;totreatitasitshouldbetreated,thatistosay,withthewholearmouryofscientificformulae,wouldbeoutofplaceinthesemodestpages。

Letustakeamiddlecourse,avoidingbothabstrusetruthsandcompleteignorance。

LetusdirectourattentiontothenetsoftheEpeirae,preferablytothoseoftheSilkyEpeiraandtheBandedEpeira,soplentifulintheautumn,inmypartofthecountry,andsoremarkablefortheirbulk。Weshallfirstobservethattheradiiareequallyspaced;

theanglesformedbyeachconsecutivepairareofperceptiblyequalvalue;andthisinspiteoftheirnumber,whichinthecaseoftheSilkyEpeiraexceedstwoscore。WeknowbywhatstrangemeanstheSpiderattainsherendsanddividestheareawhereinthewebistobewarpedintoalargenumberofequalsectors,anumberwhichisalmostinvariableintheworkofeachspecies。Anoperationwithoutmethod,governed,onemightimagine,byanirresponsiblewhim,resultsinabeautifulrose-windowworthyofourcompasses。

Weshallalsonoticethat,ineachsector,thevariouschords,theelementsofthespiralwindings,areparalleltooneanotherandgraduallydrawclosertogetherastheynearthecentre。Withthetworadiatinglinesthatframethemtheyformobtuseanglesononesideandacuteanglesontheother;andtheseanglesremainconstantinthesamesector,becausethechordsareparallel。

Thereismorethanthis:thesesameangles,theobtuseaswellastheacute,donotalterinvalue,fromonesectortoanother,atanyratesofarastheconscientiouseyecanjudge。Takenasawhole,therefore,therope-latticededificeconsistsofaseriesofcross-barsintersectingtheseveralradiatinglinesobliquelyatanglesofequalvalue。

Bythischaracteristicwerecognizethe’logarithmicspiral。’

Geometriciansgivethisnametothecurvewhichintersectsobliquely,atanglesofunvaryingvalue,allthestraightlinesor’radiivectores’radiatingfromacentrecalledthe’Pole。’TheEpeira’sconstruction,therefore,isaseriesofchordsjoiningtheintersectionsofalogarithmicspiralwithaseriesofradii。Itwouldbecomemergedinthisspiralifthenumberofradiiwereinfinite,forthiswouldreducethelengthoftherectilinearelementsindefinitelyandchangethispolygonallineintoacurve。

Tosuggestanexplanationwhythisspiralhassogreatlyexercisedthemeditationsofscience,letusconfineourselvesforthepresenttoafewstatementsofwhichthereaderwillfindtheproofinanytreatiseonhighergeometry。

Thelogarithmicspiraldescribesanendlessnumberofcircuitsarounditspole,towhichitconstantlydrawsnearerwithouteverbeingabletoreachit。Thiscentralpointisindefinitelyinaccessibleateachapproachingturn。Itisobviousthatthispropertyisbeyondoursensoryscope。Evenwiththehelpofthebestphilosophicalinstruments,oursightcouldnotfollowitsinterminablewindingsandwouldsoonabandontheattempttodividetheinvisible。Itisavolutetowhichthebrainconceivesnolimits。Thetrainedmind,alone,morediscerningthanourretina,seesclearlythatwhichdefiestheperceptivefacultiesoftheeye。

TheEpeiracompliestothebestofherabilitywiththislawoftheendlessvolute。Thespiralrevolutionscomeclosertogetherastheyapproachthepole。Atagivendistance,theystopabruptly;

but,atthispoint,theauxiliaryspiral,whichisnotdestroyedinthecentralregion,takesupthethread;andweseeit,notwithoutsomesurprise,drawnearertothepoleinever-narrowingandscarcelyperceptiblecircles。Thereisnot,ofcourse,absolutemathematicalaccuracy,butaverycloseapproximationtothataccuracy。TheEpeirawindsnearerandnearerroundherpole,sofarasherequipment,which,likeourown,isdefective,willallowher。Onewouldbelievehertobethoroughlyversedinthelawsofthespiral。

Iwillcontinuetosetforth,withoutexplanations,someofthepropertiesofthiscuriouscurve。Pictureaflexiblethreadwoundroundalogarithmicspiral。Ifwethenunwindit,keepingittautthewhile,itsfreeextremitywilldescribeaspiralsimilaratallpointstotheoriginal。Thecurvewillmerelyhavechangedplaces。

JacquesBernouilli,{42}towhomgeometryowesthismagnificenttheorem,hadengravedonhistomb,asoneofhisproudesttitlestofame,thegeneratingspiralanditsdouble,begottenoftheunwindingofthethread。Aninscriptionproclaimed,’Eademmutataresurgo:Iriseagainlikeuntomyself。’Geometrywouldfinditdifficulttobetterthissplendidflightoffancytowardsthegreatproblemofthehereafter。

Thereisanothergeometricalepitaphnolessfamous。Cicero,whenquaestorinSicily,searchingforthetombofArchimedesamidthethornsandbramblesthatcoveruswithoblivion,recognizedit,amongtheruins,bythegeometricalfigureengraveduponthestone:

thecylindercircumscribingthesphere。Archimedes,infact,wasthefirsttoknowtheapproximaterelationofcircumferencetodiameter;fromithededucedtheperimeterandsurfaceofthecircle,aswellasthesurfaceandvolumeofthesphere。Heshowedthatthesurfaceandvolumeofthelast-namedequaltwo-thirdsofthesurfaceandvolumeofthecircumscribingcylinder。Disdainingallpompousinscription,thelearnedSyracusanhonouredhimselfwithhistheoremashissoleepitaph。Thegeometricalfigureproclaimedtheindividual’snameasplainlyaswouldanyalphabeticalcharacters。

Tohavedonewiththispartofoursubject,hereisanotherpropertyofthelogarithmicspiral。Rollthecurvealonganindefinitestraightline。Itspolewillbecomedisplacedwhilestillkeepingononestraightline。Theendlessscrollleadstorectilinearprogression;theperpetuallyvariedbegetsuniformity。

Nowisthislogarithmicspiral,withitscuriousproperties,merelyaconceptionofthegeometers,combiningnumberandextent,atwill,soastoimagineatenebrousabysswhereintopractisetheiranalyticalmethodsafterwards?Isitameredreaminthenightoftheintricate,anabstractriddleflungoutforourunderstandingtobrowseupon?

No,itisarealityintheserviceoflife,amethodofconstructionfrequentlyemployedinanimalarchitecture。TheMollusc,inparticular,neverrollsthewindingrampoftheshellwithoutreferencetothescientificcurve。Thefirst-bornofthespeciesknewitandputitintopractice;itwasasperfectinthedawnofcreationasitcanbeto-day。

Letusstudy,inthisconnection,theAmmonites,thosevenerablerelicsofwhatwasoncethehighestexpressionoflivingthings,atthetimewhenthesolidlandwastakingshapefromtheoceanicooze。Cutandpolishedlength-wise,thefossilshowsamagnificentlogarithmicspiral,thegeneralpatternofthedwellingwhichwasapearlpalace,withnumerouschamberstraversedbyasiphuncularcorridor。

Tothisday,thelastrepresentativeoftheCephalopodawithpartitionedshells,theNautilusoftheSouthernSeas,remainsfaithfultotheancientdesign;ithasnotimproveduponitsdistantpredecessors。Ithasalteredthepositionofthesiphuncle,hasplaceditinthecentreinsteadofleavingitontheback,butitstillwhirlsitsspirallogarithmicallyasdidtheAmmonitesintheearliestagesoftheworld’sexistence。

AndletusnotrunawaywiththeideathattheseprincesoftheMollusctribehaveamonopolyofthescientificcurve。Inthestagnantwatersofourgrassyditches,theflatshells,thehumblePlanorbes,sometimesnobiggerthanaduckweed,viewiththeAmmoniteandtheNautilusinmattersofhighergeometry。Atleastoneofthem,Planorbisvortex,forexample,isamarveloflogarithmicwhorls。

Inthelong-shapedshells,thestructurebecomesmorecomplex,thoughremainingsubjecttothesamefundamentallaws。IhavebeforemyeyessomespeciesofthegenusTerebra,fromNewCaledonia。Theyareextremelytaperingcones,attainingalmostnineinchesinlength。Theirsurfaceissmoothandquiteplain,withoutanyoftheusualornaments,suchasfurrows,knotsorstringsofpearls。Thespiraledificeissuperb,gracedwithitsownsimplicityalone。Icountascoreofwhorlswhichgraduallydecreaseuntiltheyvanishinthedelicatepoint。Theyareedgedwithafinegroove。

Itakeapencilanddrawaroughgeneratinglinetothiscone;and,relyingmerelyontheevidenceofmyeyes,whicharemoreorlesspractisedingeometricmeasurements,Ifindthatthespiralgrooveintersectsthisgeneratinglineatanangleofunvaryingvalue。

Theconsequenceofthisresultiseasilydeduced。Ifprojectedonaplaneperpendiculartotheaxisoftheshell,thegeneratinglinesoftheconewouldbecomeradii;andthegroovewhichwindsupwardsfromthebasetotheapexwouldbeconvertedintoaplanecurvewhich,meetingthoseradiiatanunvaryingangle,wouldbeneithermorenorlessthanalogarithmicspiral。Conversely,thegrooveoftheshellmaybeconsideredastheprojectionofthisspiralonaconicsurface。

Betterstill。Letusimagineaplaneperpendiculartotheaidsoftheshellandpassingthroughitssummit。Letusimagine,moreover,athreadwoundalongthespiralgroove。Letusunrollthethread,holdingittautaswedoso。Itsextremitywillnotleavetheplaneandwilldescribealogarithmicspiralwithinit。

Itis,inamorecomplicateddegree,avariantofBernouilli’s’Eademmutataresurgo:’thelogarithmicconiccurvebecomesalogarithmicplanecurve。

Asimilargeometryisfoundintheothershellswithelongatedcones,Turritellae,Spindle-shells,Cerithia,aswellasintheshellswithflattenedcones,Trochidae,Turbines。Thesphericalshells,thosewhirledintoavolute,arenoexceptiontothisrule。

All,downtothecommonSnail-shell,areconstructedaccordingtologarithmiclaws。ThefamousspiralofthegeometersisthegeneralplanfollowedbytheMolluscrollingitsstonesheath。

Wheredotheseglairycreaturespickupthisscience?WearetoldthattheMolluscderivesfromtheWorm。Oneday,theWorm,renderedfriskybythesun,emancipateditself,brandisheditstailandtwisteditintoacorkscrewforsheerglee。Thereandthentheplanofthefuturespiralshellwasdiscovered。

Thisiswhatistaughtquiteseriously,inthesedays,astheverylastwordinscientificprogress。Itremainstobeseenuptowhatpointtheexplanationisacceptable。TheSpider,forherpart,willhavenoneofit。Unrelatedtotheappendix-lacking,corkscrew-twirlingWorm,sheisneverthelessfamiliarwiththelogarithmicspiral。Fromthecelebratedcurvesheobtainsmerelyasortofframework;but,elementarythoughthisframeworkbe,itclearlymarkstheidealedifice。TheEpeiraworksonthesameprinciplesastheMolluscoftheconvolutedshell。

TheMolluschasyearswhereintoconstructitsspiralanditusestheutmostfinishinthewhirlingprocess。TheEpeira,tospreadhernet,hasbutanhour’ssittingatthemost,whereforethespeedatwhichsheworkscompelshertorestcontentwithasimplerproduction。Sheshortensthetaskbyconfiningherselftoaskeletonofthecurvewhichtheotherdescribestoperfection。

TheEpeira,therefore,isversedinthegeometricsecretsoftheAmmoniteandtheNautiluspompilus;sheuses,inasimplerform,thelogarithmiclinedeartotheSnail。Whatguidesher?Thereisnoappealheretoawriggleofsomekind,asinthecaseoftheWormthatambitiouslyaspirestobecomeaMollusc。Theanimalmustneedscarrywithinitselfavirtualdiagramofitsspiral。

Accident,howeverfruitfulinsurpriseswemaypresumeittobe,canneverhavetaughtitthehighergeometrywhereinourownintelligenceatoncegoesastray,withoutastrictpreliminarytraining。

ArewetorecognizeamereeffectoforganicstructureintheEpeira’sart?Wereadilythinkofthelegs,which,endowedwithaveryvaryingpowerofextension,mightserveascompasses。Moreorlessbent,moreorlessoutstretched,theywouldmechanicallydeterminetheanglewhereatthespiralshallintersecttheradius;

theywouldmaintaintheparallelofthechordsineachsector。

Certainobjectionsarisetoaffirmthat,inthisinstance,thetoolisnotthesoleregulatorofthework。Werethearrangementofthethreaddeterminedbythelengthofthelegs,weshouldfindthespiralvolutesseparatedmorewidelyfromoneanotherinproportiontothegreaterlengthofimplementinthespinstress。WeseethisintheBandedEpeiraandtheSilkyEpeira。Thefirsthaslongerlimbsandspaceshercross-threadsmoreliberallythandoesthesecond,whoselegsareshorter。

Butwemustnotrelytoomuchonthisrule,sayothers。TheAngularEpeira,thePaletintedEpeiraandtheCrossSpider,allthreemoreorlessshort-limbed,rivaltheBandedEpeirainthespacingoftheirlime-snares。Thelasttwoevendisposethemwithgreaterinterveningdistances。

Werecognizeinanotherrespectthattheorganizationoftheanimaldoesnotimplyanimmutabletypeofwork。Beforebeginningthestickyspiral,theEpeiraefirstspinanauxiliaryintendedtostrengthenthestays。Thisspiral,formedofplain,non-glutinousthread,startsfromthecentreandwindsinrapidly-wideningcirclestothecircumference。Itismerelyatemporaryconstruction,whereofnaughtbutthecentralpartsurviveswhentheSpiderhassetitslimymeshes。Thesecondspiral,theessentialpartofthesnare,proceeds,onthecontrary,inserriedcoilsfromthecircumferencetothecentreandiscomposedentirelyofviscouscross-threads。

Herewehave,followingoneaftertheothermerelybyasuddenalterationofthemachine,twovolutesofanentirelydifferentorderasregardsdirection,thenumberofwhorlsandintersection。

Bothofthemarelogarithmicspirals。Iseenomechanismofthelegs,betheylongorshort,thatcanaccountforthisalteration。

CanitthenbeapremeditateddesignonthepartoftheEpeira?

Cantherebecalculation,measurementofangles,gaugingoftheparallelbymeansoftheeyeorotherwise?Iaminclinedtothinkthatthereisnoneofallthis,oratleastnothingbutaninnatepropensity,whoseeffectstheanimalisnomoreabletocontrolthantheflowerisabletocontrolthearrangementofitsverticils。TheEpeirapractiseshighergeometrywithoutknowingorcaring。Thethingworksofitselfandtakesitsimpetusfromaninstinctimposeduponcreationfromthestart。

Thestonethrownbythehandreturnstoearthdescribingacertaincurve;thedeadleaftornandwaftedawaybyabreathofwindmakesitsjourneyfromthetreetothegroundwithasimilarcurve。Onneithertheonesidenortheotheristhereanyactionbythemovingbodytoregulatethefall;nevertheless,thedescenttakesplaceaccordingtoascientifictrajectory,the’parabola,’ofwhichthesectionofaconebyaplanefurnishedtheprototypetothegeometer’sspeculations。Afigure,whichwasatfirstbutatentativeglimpse,becomesarealitybythefallofapebbleoutofthevertical。

Thesamespeculationstakeuptheparabolaoncemore,imagineitrollingonanindefinitestraightlineandaskwhatcoursedoesthefocusofthiscurvefollow。Theanswercomes:Thefocusoftheparaboladescribesa’catenary,’alineverysimpleinshape,butendowedwithanalgebraicsymbolthathastoresorttoakindofcabalisticnumberatvariancewithanysortofnumeration,somuchsothattheunitrefusestoexpressit,howevermuchwesubdividetheunit。Itiscalledthenumbere。Itsvalueisrepresentedbythefollowingseriescarriedoutadinfinitum:

e=1+1/1+1/(1*2)+1/(1*2*3)+1/(1*2*3*4)+1/(1*2*3*4*5)+

etcIfthereaderhadthepatiencetoworkoutthefewinitialtermsofthisseries,whichhasnolimit,becausetheseriesofnaturalnumeralsitselfhasnone,hewouldfind:

e=2。7182818……

Withthisweirdnumberarewenowstationedwithinthestrictlydefinedrealmoftheimagination?Notatall:thecatenaryappearsactuallyeverytimethatweightandflexibilityactinconcert。Thenameisgiventothecurveformedbyachainsuspendedbytwoofitspointswhicharenotplacedonaverticalline。Itistheshapetakenbyaflexiblecordwhenheldateachendandrelaxed;itisthelinethatgovernstheshapeofasailbellyinginthewind;itisthecurveofthenanny-goat’smilk-bagwhenshereturnsfromfillinghertrailingudder。Andallthisanswerstothenumbere。

Whataquantityofabstrusescienceforabitofstring!Letusnotbesurprised。Apelletofshotswingingattheendofathread,adropofdewtricklingdownastraw,asplashofwaterripplingunderthekissesoftheair,ameretrifle,afterall,requiresatitanicscaffoldingwhenwewishtoexamineitwiththeeyeofcalculation。WeneedtheclubofHerculestocrushafly。

Ourmethodsofmathematicalinvestigationarecertainlyingenious;

wecannottoomuchadmirethemightybrainsthathaveinventedthem;buthowslowandlaborioustheyappearwhencomparedwiththesmallestactualities!Willitneverbegiventoustoproberealityinasimplerfashion?Willourintelligencebeableonedaytodispensewiththeheavyarsenalofformulae?Whynot?

Herewehavetheabracadabricnumberereappearing,inscribedonaSpider’sthread。Letusexamine,onamistymorning,themeshworkthathasbeenconstructedduringthenight。Owingtotheirhygrometricalnature,thestickythreadsareladenwithtinydrops,and,bendingundertheburden,havebecomesomanycatenaries,somanychapletsoflimpidgems,gracefulchapletsarrangedinexquisiteorderandfollowingthecurveofaswing。Ifthesunpiercethemist,thewholelightsupwithiridescentfiresandbecomesaresplendentclusterofdiamonds。Thenumbereisinitsglory。

Geometry,thatistosay,thescienceofharmonyinspace,presidesovereverything。Wefinditinthearrangementofthescalesofafir-cone,asinthearrangementofanEpeira’slimyweb;wefinditinthespiralofaSnail-shell,inthechapletofaSpider’sthread,asintheorbitofaplanet;itiseverywhere,asperfectintheworldofatomsasintheworldofimmensities。

AndthisuniversalgeometrytellsusofanUniversalGeometrician,whosedivinecompasshasmeasuredallthings。Ipreferthat,asanexplanationofthelogarithmiccurveoftheAmmoniteandtheEpeira,totheWormscrewingupthetipofitstail。Itmaynotperhapsbeinaccordancewithlatter-dayteaching,butittakesaloftierflight。

Footnotes:

{1}Asmallormoderate-sizedspiderfoundamongfoliage——

Translator’sNote。

{2}LeonDufour(1780-1865)wasanarmysurgeonwhoservedwithdistinctioninseveralcampaignsandsubsequentlypractisedasadoctorintheLandes。Heattainedgreateminenceasanaturalist——

Translator’sNote。

{3}TheTarantulaisaLycosa,orWolf-spider。Fabre’sTarantula,theBlack-belliedTarantula,isidenticalwiththeNarbonneLycosa,underwhichnamethedescriptioniscontinuedinChaptersiii。tovi。,allofwhichwerewrittenataconsiderablylaterdatethanthepresentchapter——Translator’sNote。

{4}GiorgioBaglivi(1669-1707),professorofanatomyandmedicineatRome——Translator’sNote。

{5}’Whenourhusbandmenwishtocatchthem,theyapproachtheirhiding-places,andplayonathingrasspipe,makingasoundnotunlikethehummingofbees。Hearingwhich,theTarantularushesoutfiercelythatshemaycatchthefliesorotherinsectsofthiskind,whosebuzzingshethinksittobe;butsheherselfiscaughtbyherrustictrapper。’

{6}Provencalforthebitofwastegroundonwhichtheauthorstudieshisinsectsinthenaturalstate——Translator’snote。

{7}’ThankstotheBumble-bee。’

{8}LiketheDung-beetles——Translator’sNote。

{9}LiketheSolitaryWasps——Translator’sNote。

{10}SuchastheHairyAmmophila,theCercerisandtheLanguedocianSphex,Digger-waspsdescribedinotheroftheauthor’sessays——Translator’sNote。

{11}Thedesnucador,theArgentineslaughtermanwhosemethodsofslayingcattlearedetailedintheauthor’sessayentitled,TheTheoryofInstinct——Translator’sNote。

{12}AfamilyofGrasshoppers——Translator’sNote。

{13}AgenusofBeetles——Translator’sNote。

{14}AspeciesofDigger-wasp——Translator’sNote。

{15}TheCicadaistheCigale,aninsectakintotheGrasshopperandfoundmoreparticularlyintheSouthofFrance——Translator’sNote。

{16}ThegenerictitleoftheworkfromwhichtheseessaysaretakenisEntomologicalMemories,or,StudiesrelatingtotheInstinctandHabitsofInsects——Translator’sNote。

{17}AspeciesofGrasshopper——Translator’sNote。

{18}AninsectakintotheLocustsandCrickets,which,whenatrest,adoptsanattituderesemblingthatofprayer。Whenattacking,itassumeswhatisknownas’thespectralattitude。’

Itsforelegsformasortofsaw-likeorbarbedharpoons。Cf。

SocialLifeintheInsectWorld,byJ。H。Fabre,translatedbyBernardMiall:chaps。v。tovii-Translator’sNote。

{19}。39inch——Translator’sNote。

{20}Theseexperimentsaredescribedintheauthor’sessayontheMasonBeesentitledFragmentsonInsectPsychology——Translator’sNote。

{21}AspeciesofWasp——Translator’sNote。

{22}InChap。VIII。ofthepresentvolume——Translator’sNote。

{23}JulesMichelet(1798-1874),authorofL’OiseauandL’Insecte,inadditiontothehistoricalworksforwhichheischieflyknown。

Asalad,hehelpedhisfather,aprinterbytrade,insettingtype——Translator’sNote。

{24}ChapterIII。ofthepresentvolume——Translator’sNote。

{25}AspeciesofDung-beetle。Cf。TheLifeandLoveoftheInsect,byJ。HenriFabre,translatedbyAlexanderTeixeiradeMattos:chap。v——Translator’sNote。

{26}AspeciesofBeetle——Translator’sNote。

{27}Cf。InsectLife,byJ。H。Fabre,translatedbytheauthorofMademoiselleMori:chaps。i。andii。;TheLifeandLoveoftheInsect,byJ。HenriFabre,translatedbyAlexanderTeixeiradeMattos:chaps。i。toiv——Translator’sNote。

{28}ChapterII——Translator’sNote。

{29}。39inch——Translator’sNote。

{30}TheProcessionariesareMoth-caterpillarsthatfeedonvariousleavesandmarchinfile,layingasilkentrailastheygo——Translator’sNote。

{31}Theweeklyhalf-holidayinFrenchschools——Translator’sNote。

{32}Cf。SocialLifeintheInsectWorld,byJ。H。Fabre,translatedbyBernardMiall:chap。xiv——Translator’sNote。

{33}Cf。InsectLife,byJ。H。Fabre,translatedbytheauthorofMademoiselleMori:chap。v——Translator’sNote。

{34}TheScoliaisaDigger-wasp,liketheCercerisandtheSphex,andfeedsherlarvaeonthegrubsoftheCetonia,orRose-chafer,andtheOryctes,orRhinocerosBeetle。Cf。TheLifeandLoveoftheInsect,byJ。HenriFabre,translatedbyAlexanderTeixeiradeMattos:chap。xi——Translator’sNote。

{35}Cf。SocialLifeintheInsectWorld,byJ。H。Fabre,translatedbyBernardMiall。chap。xiii。,inwhichthenameisgiven,byaprinter’serror,asPhilanthusaviporus——Translator’sNote。

{36}OrBirdSpiders,knownalsoastheAmericanTarantula——

Translator’sNote。

{37}。059inch——Translator’sNote。

{38}TheIchneumon-fliesareverysmallinsectswhichcarrylongovipositors,wherewiththeylaytheireggsintheeggsofotherinsectsandalso,moreespecially,incaterpillars。Theirparasiticlarvaeliveanddevelopattheexpenseoftheeggorgrubattacked,whichdegeneratesinconsequence——Translator’sNote。

{39}OneofthelargestfamiliesofBeetles,darkishincolourandshunningthelight——Translator’sNote。

{40}TheIulusisoneofthefamilyofMyriapods,whichincludesCentipedes,etc——Translator’sNote。

{41}AspeciesofLand-snail——Translator’sNote。

{42}JacquesBernouilli(1654-1705),professorofmathematicsattheUniversityofBaselfrom1687totheyearofhisdeath。Heimprovedthedifferentialcalculus,solvedtheisoperimetricalproblemanddiscoveredthepropertiesofthelogarithmicspiral——

Translator’sNote。

End

字体大小
背景颜色