Calculator of the day: the slide rule

My new book, Empire of the Sum: The Rise and Reign of the Pocket Calculator, will be published in the US this coming Tuesday, the 22nd of August, and to mark the occasion I thought I’d start a series of posts about a few of my favourite calculators.

Today, it’s first things first. Well, not exactly, since I am rudely omitting hands, feet, genitals, pebbles, sticks, counting tokens and abacuses from this list of portable calculating devices. But today’s calculator is, at any rate, the oldest one that I’ll be writing about this week. Enter the slide rule.

Slide rule owned by Sally Ride, the first American woman in space.
Slide rule owned by Sally Ride, the first American woman in space. (CC0 image courtesy of the National Air and Space Museum.)

For the uninitiated, slide rules are analog mechanical calculators, like the one shown above. They’re similar to normal rulers but with two main distinctions: they have a number of specialised scales (usually four at a minimum, but often many more) that encode different mathematical operations; and they have a movable slide that allows their scales to be aligned as necessary to carry out those operations.

I had a lot of fun digging into the slide rule’s history. It was invented by a sixteenth-century mathematician and Anglican minister named William Oughtred, who, ironically, was avowedly against using anything other than good old fashioned brain power when it came to working through mathematical problems. He once proclaimed that devices that simplified mathematical operations turned their users into “doers of tricks, and as it were Iuglers [jugglers].”

Oughtred had the insight to line up a pair of what were called “Gunter scales”, or logarithmic rulers, to make it easy to multiply any two numbers together to at least a few significant figures of precision — a job that had been, until that time, a frustratingly manual process. In turn, Gunter scales were based on the concept of logarithms, as devised by John Napier of Edinburgh, an alchemist, astrologer, religious polemicist, and occasional mathematician. Edinburgh’s Napier University is named after him.

Courtesy of my father in law, who has indefatiguably trawled the antique stores of the American Midwest, I am now the proud owner of a number of vintage slide rules. Not the one shown above — that one belonged to Sally Ride, the first American woman in space — but a respectable selection nonetheless of rules covering the gamut from the classroom to the engineering laboratory. Slide rules are deceptively simple things, and they are intensely satisfying to get to grips with. If you aren’t familiar with them, head over to eBay to see what you can find. A piece of mathematical magic can be yours for as little as a few pounds.


If you’d like to pre-order a copy of Empire of the Sum, this post will point you in the right direction. And don’t forget that American readers can enter a competition to win one of two copies! Visit this post to find out more.

Win a copy of Empire of the Sum!

This is your chance to win one of two free copies of Empire of the Sum: The Rise and Reign of the Pocket Calculator! To enter, leave a comment on this post with a valid email address so that I can contact you in the event that you win.

The sun rises behind a pocket calculator, whose display reads "07734"
The cover of Empire of the Sum.

One caveat: this first round is for US residents only. There will be another round for US residents after US publication and two rounds for non-US residents closer to publication time in the rest of the world. To make sure you don’t miss those future contests, you might want to subscribe to the Shady Characters newsletter using the link at the bottom of the page.

The con­test will close at noon UK time on Sunday 20th Au­gust 2023, so make sure you enter be­fore then. After that I’ll pick two win­ners from the list of all unique entrants, and I’ll get in touch to arrange free postage of your prize. See below for terms and conditions, and good luck!


Update: The competition is now closed! I’ll announce the winners soon.

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Narbo Martius: a Shady Char­ac­ters field trip

Towards the end of a very hot May, we spent a week in Narbonne in France. Narbonne is an old Roman town, once called Narbo Martius, that forms one point of a shallow triangle with the medieval walled city of Carcassonne and the bullfighting mecca of Béziers. It’s a nice little place; somewhere between a tourist trap and a working town, with plenty to see and do in and around the local area.

For me, the highlight was a visit to Narbo Via. This is a museum on the edge of town, sited rather incongruously beside a conference centre and a giant Carrefour supermarket, that lives in a restrained, thoughtful building designed by Foster+Partners. On the outside and the inside it is cool, quiet, and modern, with lots of concrete, wood, metal and marble on show. It felt like — and I can’t imagine this is accidental — a modern interpretation of an ancient Roman temple or senate house.

Exterior view of Narbo Via, showing the approach shadowed by a canopy pierced by regular apertures,
Approach to Narbo Via. (Photo by the author.)

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Miscellany № 100: hitting the century

I never meant for the numbering of these posts to have any significance other than to tell them apart, but it’s still gratifying to have hit the century after (checks notes) a mere eleven years and six-ish months. For reference, here’s the first ever miscellany post, published way back in November 2011. Amusingly, it is unnumbered. Who’d have thought I’d have needed more than a single post to tie up some loose ends?

I hope you’ve enjoyed reading these posts as much as I’ve enjoyed putting them together, and so, with that said, on with the show and long may they continue.


First, via the ever-reliable Language Hat, comes news that punctuation has been found to be “mathematical”. Of course, we’ve discovered here at Shady Characters that the distribution of the occurrence of punctuation marks in English appears to obey an inverse power law (that is, the most common mark, the comma, occurs about twice as frequently as the full stop, which occurs about twice as frequently as the double quotation mark, and so on), but the authors of “Universal versus system-specific features of punctuation usage patterns in major Western languages” have been much more rigorous in defining how punctuation occurs in different languages.

In their paper, Stanisz et al find that the distances between consecutive punctuation marks follows the Weibull distribution — a curve sometimes used to model time between failures or mortality rates — and that all of the languages examined had similar distributions describing the occurrence and ordering of different marks. That’s an oversimplification (and, given I don’t have access to the paper itself, a necessary one) but it’s an interesting avenue of research nonetheless. Readers with institutional Elsevier subscriptions should feel free to add more in the comments.


Elsewhere, Steven Heller, esteemed design critic and man of impeccable taste,* recounts the story of the New York Times’ $600 full stop. I won’t spoil his short, sweet story, so head over to Print Mag to read the whole thing.


In writing The Book, I tried to be as rigorous as I could in describing the various different materials, techniques, and design elements that went into the books we have made over the millennia. That said, it’s always a treat to discover a piece that echoes one’s own work but which goes that much deeper. For Lapham’s Quarterly, Bruce Holsinger writes on the history of parchment, and his article is an excellent read. But then maybe I shouldn’t be surprised, since Holsinger is the Linden Kent Memorial Professor of English at the University of Virginia, the editor of the journal New Literary History, and, most apposite, the author of On Parchment: Animals, Archives, and the Making of Culture from Herodotus to the Digital Age, as published by Yale University. Go ahead, have a read; it’s well worth your time.


Lastly, Scientific American reports on the accession to the Unicode Standard of a new set of numerals. The so-called Kaktovik numerals were invented some thirty years ago by the Alaskan Inuit schoolchildren of the village of the same name, and they codified the counting scheme used in the spoken Iñupiaq language. What’s interesting here is that the Unicode Consortium is famously strict about admitting new characters to the Unicode standard, but the Kaktovik numerals represent a rare and happy success story — the creation and admission of a whole new set of numerals that both broadens the standard’s reach and goes some way to righting historical wrongs in the treatment of the Alaskan Inuit. Unicode doesn’t have exactly a perfect record when it comes to representing minority groups, so it’s gratifying to see the consortium doing the right thing here. More at Scientific American!

*
Heller is, of course, the source of a very generous quote regarding The Book, as seen elsewhere here at shadycharacters.co.uk