LettersCusa's TorquetumTo <strong>the</strong> Edi<strong>to</strong>r:It was a delight <strong>to</strong> see <strong>the</strong> astronomicalinstrument of Nicholas of Cusa, <strong>the</strong><strong>to</strong>rquetum, c. 1444, <strong>the</strong> oldest in Europe,in its earlier version, as designedby Era<strong>to</strong>s<strong>the</strong>nes and used by <strong>the</strong> naviga<strong>to</strong>rMaui on a voyage <strong>to</strong> circumnavigate<strong>the</strong> Earth in 232 B.C. (Maui's Tanawa: ATorquetum of 232 B.C.," by Dr. SentielRommel, Spring 1999, p. 75.)Cusa designed his <strong>to</strong>rquetum <strong>with</strong> <strong>the</strong>help of Regiomontanus, and it was corisidered<strong>to</strong> be <strong>to</strong>o heavy and clumsy foruse. Era<strong>to</strong>s<strong>the</strong>nes' design is moreportable, and has a sundial time-pieceon <strong>the</strong> ring, which is in <strong>the</strong> plane of <strong>the</strong>ecliptic.The best feature of this instrument isthat it can mechanically transfer coordinanceamong three coordinate systems:<strong>the</strong> direction of a star or planet incelestial latitude or longitude in refer-Cusa's <strong>to</strong>rquetum, c. 1444, courtesy ofSt. Nikolaus Hospital, Cusanus Stift,founded 1458 (D-54470 Bernkastel-Kues, Germany).Let us agree that a risk does not existuntil it is well established <strong>with</strong> solid experimentalevidence. There is no nvidence<strong>to</strong> show a risk from low dose orlow dose rate whole body radiation fordoses less than of 0.2 Cy (20 rads) ac uteor a much higher dose if spread overmonths or years. It is a rare dose that exceeds<strong>the</strong>se values.Pradel, unfortunately, accepts an assumptionas a fact. The InternationalCommission for Radiological Protec ion(ICRP) in 1977 made <strong>the</strong> simplifying assumptionthat radiation may be care nogenicdown <strong>to</strong> zero dose. This is <strong>the</strong> linence<strong>to</strong> <strong>the</strong> plane of <strong>the</strong> ecliptic; rij htascensionand declination in <strong>the</strong> pi meof <strong>the</strong> equa<strong>to</strong>r; and, finally, <strong>the</strong> localcoordinates of horizon and height (hatis, azimuth N, S, E, W, and altitude ofan object).The <strong>to</strong>rquetum is also said <strong>to</strong> be v; Liuablebecause it allows you <strong>to</strong> exarr ine<strong>the</strong> shift in <strong>the</strong> precession of :heequinoxes (50.25 seconds of arc Deryear, or 1 degree every 70 year;). Iwould like <strong>to</strong> know more about t lis.Also, <strong>the</strong> <strong>to</strong>rquetum's companion insrumentis <strong>the</strong> astrolabe. Will 21st Cen uryalso publish something on <strong>the</strong> astrol ibesaid <strong>to</strong> be used by Maui?Eli Santi igoRidgefield Park, sl.J.The Edi<strong>to</strong>r RepliesYes, we intend <strong>to</strong> continue coverageof <strong>the</strong> ancient astronomy in future issues.Thanks for <strong>the</strong>Spring Issue!To <strong>the</strong> Edi<strong>to</strong>r:Just a few lines <strong>to</strong> say that <strong>the</strong> Spi ing1999 issue is outstanding. The "Discovery"articles and "Electric Embryo" wereexciting <strong>to</strong> read and bring in<strong>to</strong> perse nalawareness. I've never found a dull is: ue,but this is <strong>the</strong> first that compels mn <strong>to</strong>send along acknowledgement ,:ndthanks.Stanley VlantesMilford, Cc nn.A Response <strong>to</strong> Pradel onSimplifying Radiation Riskear, no-threshold (LNT) model of radiationrisk. In 1974, solid data contradictedthis model. Frigerio (1974) andEvans (1 974) present data that contradict<strong>the</strong> LNT model. ( disagree <strong>with</strong>Pradel's statement that "Epidemiologicalstudies will never be able <strong>to</strong> prove that<strong>the</strong>se cancers [at low doses] do, or donot exist. . . ."Pradel does make some points in hisarticle, but I doubt if many readers willrecognize <strong>the</strong>ir simplicity. Equating asmall exposure from uranium processing<strong>to</strong> <strong>the</strong> increased dose from cosmicrays a few meters above our normal livinglevel, or breathing outdoor airra<strong>the</strong>r than indoor air, <strong>with</strong> its higherradon level, is not an obvious simplification.I object <strong>to</strong> Pradel's analogy on twogrounds. First, it implicitly suggests thatsuch trifling doses really do have risks,and second, because <strong>the</strong> cosmic raysand radon level vary considerably <strong>with</strong>time and place.Because a large fraction of your readersfly in jet planes, it would be useful <strong>to</strong>point out that <strong>the</strong>ir dose from cosmicrays increases about a fac<strong>to</strong>r of 30 in goingfrom sea level <strong>to</strong> cruising altitude atabout 40,000 ft. My geiger counter typicallyhas a count rate of about 10 countsper min (cpm) at <strong>the</strong> airport, and about300 cpm at <strong>the</strong> cruising altitude. This isusually quite impressive <strong>to</strong> persons sittingnext <strong>to</strong> me, and also <strong>to</strong> <strong>the</strong> flight attendants.There is no evidence that anincrease of this amount has any negativehealth effects.Using an increase of radon level as arisk fac<strong>to</strong>r is contradicted by Cohen'sdata (1995) on radon level vs. lung cancerdeath rate. I doubt if any person, scientificallytrained or not, would look atCohen's data and decide that reducingyour radon level decreases your risk.His data indicate that U.S. counties <strong>with</strong>radon levels above 5 pCi/l have 40 percentlower lung cancer death rate than<strong>the</strong> counties <strong>with</strong> radon levels below0.5 pCi/l. This suggests that radon progenyin <strong>the</strong> lungs in some way reduces<strong>the</strong> risk of a smoker dying from lungcancer.I suggest that <strong>the</strong> way <strong>to</strong> simplify radiation<strong>to</strong> <strong>the</strong> public is:(1) Do not mention risk for doses lessthan 0.2 Gy (20 rads), because <strong>the</strong>re isno evidence that a risk exists.Continued on page 86LETTERS21stCENTlRY Summer 1999
VIEWPOINTCan Children of Cyberspace Become Engineers?So many students majoring in engineering<strong>to</strong>day seem <strong>to</strong> have few ifany experiences <strong>with</strong> <strong>the</strong> artifacts ofengineering, o<strong>the</strong>r than consuming andusing <strong>the</strong>m. For example, some studentsmay have significant expertise<strong>with</strong> regard <strong>to</strong> interfacing <strong>with</strong> a computer,and may even engage in a degreeof programming and hacking, but<strong>the</strong> vast majority appear <strong>to</strong> use <strong>the</strong>computer as a black box. They seemdisinclined <strong>to</strong> open up <strong>the</strong> box <strong>to</strong> seewhat makes it tick. Nei<strong>the</strong>r are <strong>the</strong>ydrawn <strong>to</strong> fix <strong>the</strong>ir own cars, let alone<strong>the</strong>ir own bicycles.Indeed, judging from my own experiences<strong>with</strong> <strong>to</strong>day's affluent first- andsecond-year engineering students,many of <strong>the</strong>m appear <strong>to</strong> have led deprivedchildhoods, when it comes <strong>to</strong>having learned <strong>the</strong> innards of machinesby taking <strong>the</strong>m apart and putting <strong>the</strong>m<strong>to</strong>ge<strong>the</strong>r again. Moreover, not a few engineeringstudents seem not <strong>to</strong> haveeven handled some of <strong>the</strong> most basic<strong>to</strong>ols <strong>with</strong> which <strong>to</strong> do so. Because <strong>the</strong>yhave not had <strong>the</strong> tactile experience ofbeing mechanics, <strong>the</strong>y also seem <strong>to</strong>lack <strong>the</strong> visual sense that develops fromit. Thus, when asked <strong>to</strong> draw a machinepart, <strong>the</strong>y are at a loss for lines.The roots of this problem must certainlylie at least in part in <strong>the</strong> nature of<strong>to</strong>ys. Whereas <strong>the</strong> budding engineeronce had <strong>to</strong> wrestle <strong>with</strong> <strong>the</strong> nuts andbolts of Erec<strong>to</strong>r sets, always planningahead <strong>to</strong> be sure <strong>the</strong> fingers could reachbehind <strong>the</strong> parts of <strong>the</strong> constructioncrane, delivery truck, or bridge beingassembled, <strong>to</strong>day's youngster commandsarmies of destruction workers<strong>with</strong>out ever having <strong>to</strong> construct anyone of <strong>the</strong>m. Today's engineering studentsmay have played <strong>with</strong> Legos, but<strong>to</strong> <strong>the</strong> Erec<strong>to</strong>r-set veteran, Legos seemmore like puzzles than construction<strong>to</strong>ys. As a rule, <strong>to</strong>day's future engineersplay electronic games, ra<strong>the</strong>r than design<strong>the</strong>m. One begins <strong>to</strong> wonder what<strong>the</strong>se children of cyberspace will dowhen <strong>the</strong>y encounter <strong>the</strong> real world ofengineering, which does not come <strong>with</strong>prepackaged software or <strong>with</strong> everythingpreprogrammed.A recent informal survey of Americanbusiness leaders who began <strong>the</strong>ir careersas engineers, found that many of<strong>the</strong>m recall <strong>with</strong> fondness playing aschildren <strong>with</strong> chemistry sets and construction<strong>to</strong>ys, such as Lincoln Logs,Tinker Toys, and Erec<strong>to</strong>r sets. In addition<strong>to</strong> using <strong>the</strong>se packaged trainingkits, many remember being interestedin how things work. According <strong>to</strong>Wayne Allen, a mechanical engineerwho is chief executive of Phillips Petroleum,"I frequently would take <strong>to</strong>ys andmachines apart, just <strong>to</strong> know mechanicallyhow <strong>the</strong>y worked, whe<strong>the</strong>r it wasa bike, go-cart, or car." Whe<strong>the</strong>r suchactivity inspired, or just prefigured aninterest in engineering, it is uncannilycommon and familiar among older engineers.Toys That Built EngineersLike many of my war-baby contemporaries,long before I was an engineeringstudent, I played <strong>with</strong> Erec<strong>to</strong>r sets,those steel construction <strong>to</strong>ys whoseparts were modelled after real girdersand <strong>the</strong>ir fittings. The Erec<strong>to</strong>r set presenteda considerable challenge in constructionmanagement, for <strong>the</strong>re wereno step-by-step plans <strong>to</strong> follow from abox of parts <strong>to</strong> an assembled structure.There were drawings on <strong>the</strong> box, in advertisements,and in <strong>the</strong> catalogues of<strong>the</strong> manufacturer, <strong>the</strong> A.C. GilbertCompany, of course, showing whatcould be achieved <strong>with</strong> <strong>the</strong> standardizedparts, but <strong>the</strong>se did not tell wouldbeengineers where <strong>to</strong> start, or what pitfalls<strong>to</strong> avoid.With a screwdriver and a wrench,we were expected <strong>to</strong> see <strong>the</strong> taskthrough, from beginning <strong>to</strong> end. Thesupreme design challenge came whenwe had only a picture in our mind's eyeof some great bridge or <strong>to</strong>wer of ourown devising, some great structurewhose lines changed as we used up <strong>the</strong>parts in <strong>the</strong> Erec<strong>to</strong>r set. Our Britishcounterparts have similar recollectionsof Meccano sets. These were <strong>the</strong> <strong>to</strong>ysthat built engineers.Many of us also played <strong>with</strong> electrictrains, taking apart locomotives and accessories,seeing how <strong>the</strong>y puffedsmoke and lowered crossing gates,learning at <strong>the</strong> same time how <strong>the</strong> partsfit <strong>to</strong>ge<strong>the</strong>r <strong>to</strong> make a whole. Mybro<strong>the</strong>r, who also became an engineer,and I spent many a rainy afternoon andschool vacation designing, planning,and laying out new track arrangements,always working under <strong>the</strong> constraints oflimited basement floor space, <strong>to</strong>o fewsections of straight or curved track, andnever enough switches of <strong>the</strong> correcthandedness <strong>to</strong> build <strong>the</strong> dream modelrailroadyard.After Erec<strong>to</strong>r sets and electric trains,<strong>the</strong>re were bicycles <strong>to</strong> assemble anddisassemble.Little did I know it <strong>the</strong>n, but tinkering<strong>with</strong> bicycles was preparing me for acareer in engineering, as surely as were<strong>the</strong> ma<strong>the</strong>matics, science, and mechanical-drawingcourses I was taking inhigh school. Even before I <strong>to</strong>ok my firstlabora<strong>to</strong>ry course in school, I was adeptat reading plans and using apparatus,for <strong>the</strong>se activities seemed <strong>to</strong> be just anextension of working <strong>with</strong> Erec<strong>to</strong>r sets,model trains, and bicycles. What unitedHenry Petroski is AS. Vesic Professorof Civil Engineering and a professor ofhis<strong>to</strong>ry at Duke University, where healso chairs <strong>the</strong> Department of Civil andEnvironmental Engineering.His new book, The Book on <strong>the</strong>Bookshelf, will be published in Septemberby Alfred A. Knopf. This viewpointis adapted, <strong>with</strong> permission, from alonger article, "Work and Play," publishedin American Scientist, Vol. 87,May-June 1999.4 Summer 1999 21st CENTURY VIEWPOINT