The Voynich silly season is upon us (which is a shame)…

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Rather than spam your (no doubt already dangerously close-to-overfilled) inboxes with a stream of inane posts about edgy Japanese musicians producing conceptual albums inspired by the VMs’ illustrations (e.g. …

Limited edition Merzbow (Masami Akita) pressed on lime green vinyl, a work inspired by the plant illustrations in the Voynich manuscript, in a bootleg style cover.

…), Cipher Mysteries will be gently snoozing through most of this year’s silly season, and I cordially suggest you do the same!

You know, it really is about time the Next Big Thing happened in the VMs world (and I don’t mean the radiocarbon and ink papers finally being published in a proper journal). Why hasn’t some tenacious Yale art history student picked up on the codicological mystery of the Voynich Manuscript’s marginalia and done a proper spectroscopic analysis of them? Why hasn’t anyone really gone looking for a mid-15th century abbot (for who else would have their own scriptorium, producing documents for him to sign?) not too far from Savoy and called something not too far from “Simon Sint…”? The closest I’ve found so far is Abbé Simon du Bosc (who died in 1418, but was an abbot in Northern France), but probably isn’t much of a match… oh well! =:-o

Edith Rickert, revisited…

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The century since Wilfrid Voynich unearthed his now-eponymous manuscript has seen many groups of codebreakers take a tilt at its cryptographic windmills. The most famous of these was William Friedman’s “First Study Group” of WWII cryptologists: but I’ve recently become interested in finding out to what degree WWI codebreakers tried to get in on the act. Those were the halcyon days of what modern crypto people now call (perhaps with a touch of disdain) “non-machine ciphers”, and so we shallow computer-centric moderns might have plenty to learn from what they had to say (if they left any notes for us to find, which we don’t currently know).

Did the Voynich manuscript, then, have a Zeroth Study Group circa 1920? John Matthews Manly and Edith Rickert were part of the same American First World War codebreaking team, and certainly had far more than a passing familiarity with the VMs (Rickert briefly corresponded with WMV, for example). However, their attention subsequently turned to producing critical edition of Chaucer’s work, a challenge which was to occupy them both for many years.

Not that much has been written about Edith Rickert: when I blogged about her before, I found only a few online sources (such as this one) to work from. However, a very nice 2009 paper by William Snell just turned up on the Net – A Woman Medievalist Much Maligned: A Note in Defense of Edith Rickert (1871–1938) – which seems to meet this lack well.

Probably the most telling comment on Manly’s relationship with Rickert was this:-

…Manly’s remarks written in April 1934 to David H. Stevens, the English teacher at Chicago who worked on the cipher team with them during the First World War, two years before Rickert’s final heart attack: “Miss Rickert is working twenty-five hours a day, as usual, and is on the verge of a breakdown, but she won’t break. She never does.” (Qtd. in Ramsey 1994: 77)

But then she did, alas. 🙁

Review of Enrique Joven’s “The Book of God and Physics”…

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(I’ll declare my hand: back when my 2008 History Today article on the early history of the telescope came out, Enrique Joven very kindly translated it into Spanish for the magazine Astronomia, so I know Enrique pretty well. That said, Cipher Mysteries reviews don’t have star ratings & I’m not one to hide what I’m thinking, so this connection shouldn’t affect the following in any significant way.)

A thing I hear again and again from Cipher Mysteries readers is that they just aren’t into buying novels: for the most part, they’re non-fiction addicts hooked on the subtle adrenaline rush of research and who mostly feel bemused (and possibly even slightly alienated) by my fiction reviews. What, they say, can we possibly learn from a novel?

My angle on Voynich novels has never really been that of a lit crit: which is possibly just as well, it ought to be said, because most are little more than medium-boiled airport novels. Rather, I’m interested in how the idea of the Voynich Manuscript (and/or other historical cipher mysteries) is perceived and passed on by non-Voynich-researchers. Do novelists and/or their research assistants just read the Wikipedia page and make up the rest (as per the basic ‘lazy writer’ stereotype), or do some of them actually engage with the VMs, with the messy Voynich research process, and perhaps even – shock horror – with the historical evidence?

To be honest, few VMs novelists give the impression of their even having reached halfway through the Wikipedia page (however understandable that is), while a surprising number give a strong impression of having relied on even less helpful VMs information sources (such as “The Friar and the Cipher”, ugh). Even in this glorious era of Internet research, the ancient ‘GIGO’ rule (“Garbage In, Garbage Out”) works the same as it ever did. *sigh*

Yet Enrique Joven falls squarely into the engagement camp with his novel “The Book of God and Physics: A Novel of the Voynich Mystery”, in that he has plainly done a lot of reading on the subject and is even well aware of the Voynich mailing list. His fictional treatment of the Voynich mystery is also pretty much the first one I’ve read that treats Jesuits in a fairly sensible, non-tokenistic way (doubly impressive given that his protagonist is a teacher at a Jesuit school), and he constructs his narrative around the VMs’ thrice-APODed page f67r1 and the astronomical sparks showered over the Imperial Court by the tense relationship between Brahe and Kepler (a subject I happen to know a fair amount about).

Yet curiously, the limitations of Enrique’s book arise not from the cipher or from the history, but instead from his treatment of those (fictional) Voynich mailing list members his protagonist gets caught up up with, many of whom apparently suffer from multiple-(virtual)-personality disorder. Now, I’m no great fan of the Voynich mailing list as it has become (has any genuinely useful research appeared there in several years? I don’t think so), and it is true that some listmembers post under deliberately false or whimsical names, as if they were secretly emo teenagers. But to make this aspect so central to the story has all the feeling of a false modern mythology, a kind of ‘Hollywood Internet’ where Everyone (apart from the straight-as-a-die protagonist) Is Online In Order To Hide Some Important Aspect Of Themselves That Will Be Revealed Later In The Plot.

That aside, Joven writes pretty well – and it was a pleasure to read a Voynich book where the Long-Hidden Secret Power It Contains is in fact not About To Destroy The World As We Know It, where the main character is not a charmlessly bionic version of Anthony Grafton, and where there are neither hordes of competing three-letter-agencies nor quasi-mystical Church-backed Conspiracies all fighting each other for ownership of the VMs’ boringly heretical secret.

Long-time (if not actually long-suffering) Cipher Mysteries readers may possibly point to my high opinion of Matt Rubinstein’s Vellum and Lev Grossman’s Codex (both of which have much the same kind of ambitions and restrained execution as Enrique’s book) as correlative evidence that I’m down on Voynich airport novels: but actually, given that Max McCoy’s “Indiana Jones and the Philosopher’s Stone” is still firmly my #1 (why don’t Voynich novelists ever read this first?) on the Big Fat List, it really is all a matter of personal taste. OK, I still think Enrique’s publishers should have dug deep inside themselves to find the sense to keep the rather nice original Spanish title “The Castle of the Stars” (which actually chimes nicely with the story on many different levels, while also being pleasantly reminiscent of the linguistic hack “The astronomer married a star”), but then again it is what it is, and perhaps a clunky title alone isn’t enough to make or break a book these days.

One slightly odd coincidence is that just about the time that the paperback version came out recently, an entirely new Voynich theory came out (courtesy of P. Han) linking Tycho Brahe and historical supernovae to the VMs by way of China (but more on that another day). All of which just goes to show that there really is, errrm, nothing new under the sun, and that the boundary between historical hypothesis and fictional supposition can be surprisingly thin!

Isaac Casaubon’s “Ephemerides”…

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I wonder if anyone has ever looked at Casaubon’s letters and his monumental diary (called the “Ephemerides”, and written in Latin) with a Voynich-informed eye?

Isaac Casaubon (1559-1614) was regarded as one of the most learned men in Europe: and what is perhaps interesting to us (and that I didn’t know until a few days ago) is that though he started his career at the Academy of Geneva, he worked for a while at the University of Montpellier (1596-1598), before moving on to Lyon (1598-1599) at which point he was summoned to Paris by King Henry IV. In fact, though Dee researchers know him for his pursuit of John Dee’s papers, Casaubon only lived in London from 1610-1614 (and he couldn’t actually speak English), while Dee himself had died only in 1608 or 1609 (depending on who you ask).

Casaubon’s Latin correspondence (“Casauboni epistolæ, insertis ad easdem responsionibus“) was printed in Rotterdam (1709), while his Ephemerides were printed somewhat later (1850). Though I don’t think there is a critical edition of the Ephemerides available (nor indeed a translation, sadly), there are online editions of his letters here (I),  here (II), here (III), here (IV), and here (V), courtesy of the University of Mannheim.

OK, I’ll freely admit that the chances of anything turning up from this are small (Casaubon doesn’t really seem the type to gossip about a mysterious unreadable herbal that was doing the rounds). But because (given the VMs’ apparent links with Southern France / Savoy I’ve blogged endlessly about) we’d perhaps be more interested in 1596-1599 when he was in Montpellier and Lyon, you never know! 🙂

Voynich chicken scratches…

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As a Voynich Manuscript marginalia cognoscente, I’m always alert for new angles on the various incidental marks apparently added by its later owners. So, when Tim Tattrie left a comment about the “chicken scratch” marginalia on my recent Voynich-frontiers-circa-2010 post, I thought it was probably time to revisit them here.

Tim’s query was whether anyone had pursued the initials scribbled on f66v and f86v3: he noted that these were “clearly the same downward swept doodle of two or three letters (h?r), and because it is repeated in two folios, leads one to speculate its the initials of either the author, or an owner.” This almost exactly echoes what Jon Grove said on the Voynich mailing list (11 Sep 2002), that “It seems to consist of three connected downstrokes followed by a longer upstroke with a loop and final flourish, almost like ‘wR’ but not quite. It’s certainly not a random scribble. If it is a signature or monogram then it might help to establish dates and/or locations for the MS. ” To which Dana Scott replied at the time: “Notice that the single line ‘signature’ in f66v is essentially the same as the top line ‘signature’ in f86v (there are some differences to the right of each line).”

OK, so let’s look at them in all their hi-res glory. Firstly, the chicken scratches on f66v:-

And now here are the chicken scratches on f86v3. Palaeographically, I think this is much more interesting, because you can see what looks like a scribal line ending stub (in red), and lots of places where the quill has opened up under pressure in different directions (in blue). Some years ago, I suggested that these scratches might be an ink blot transfer of Georg Baresch’s signature, because if you rotate and flip them you can see letter-sequences that vaguely resemble “g///g”:-

However, there is a codicological nicety to consider here, which is that if you reorder Q8 (Quire #8) to place the astronomical (non-herbal) pages at the back, and also follow Glen Claston’s suggestion by inserting the nine-rosette quire between (the reordered) Q8 and Q9, what you unexpectedly find is that the f66v and f86v3 chicken scratches move extremely close together. If this is correct, it would imply that the doodles were added very early on in the life of the VMs, probably earlier even than the fifteenth-century hand quire numbering (and hence probably early-to-mid 15th century). And this would rule out Baresch by a couple of centuries or so. 🙂

But I have a possible bombshell to drop here. If I once again rotate and reverse the f86v3 chicken scratch, this moves the ornate scribal line-ending to the start, implying that it was the start of a line. Following the lines through from there on a Retinex-enhanced version of the page, I now suspect we know enough to separate out the letters one at a time:

If I’ve got this correct, then the letter sequence here is:-

  • (blue) “S“
  • (green) downstroke
  • (red) “i“
  • (green) downstroke
  • (orange) “m“
  • (green) downstroke
  • (purple) “o” / “n” / “t” [though it’s not entirely clear which]

So, something like “Simon”, then. What is particularly curious is that I have elsewhere suggested that the top-line marginalia on f116v reads “por le bon simon sint” in what I suspect was the handwriting of either the original author or someone very close to him/her. If that is right, then we can piece together a little bit of the VMs’ early 15th century provenance: that what we are looking at here is the ink blot signature of someone named (something close to) “Simon Sint”, who was very possibly the person to whom that original author gave the manuscript. Though it’s hard to be sure, this person may well be the same one who added the earliest set of quire numbers (which I called “Quire Hand 1” in The Curse)… but we’ll leave that issue for another day, that’s probably quite enough wobbly inferences for one post! 🙂

OK, as explanations go it’s not 100% convincing as yet, but all the same it’s a pretty joined-up historical hypothesis that could (and indeed should) be codicologically tested, which is more than can be said about most speculative VMs theories. I’m pretty sold on the idea that this is telling us we should be looking for someone (possibly a monk) in Southern France / Savoy called something not too far from “Simon Sint” circa 1450, and that this is his signature (i.e. he cared so little about the VMs that he used it as blotting paper, shame on him). Jeez, how specific do I need to be? 🙂

A Beautiful Infinity…

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There are colours in my eyes, history flickering and sputtering as a beautiful infinity reaches out to hold my bloodsoaked hand…

* * * * * *

The Brazilian girl’s plan is stone-cold in its vision, fractal in its detail, awesome in its thinking. Yes, the organizers have put the necessary overnight protection squad in place: but the two guards merely notice a curious mélange of hard-to-pin-down antique odours: spirit of hartshorn, hepatic air, green vitriol, all distinct yet merging awkwardly between one another, like jelly and ice cream in a child’s pudding bowl. They both feel the nausea slowly roll over them, but neither thinks to raise the alarm, as the aqua tofani weaves its dizzying, nauseous, near-fatal spell on them both. Of course, we don’t intend killing them: tonight’s sacred mission is one of life, not death.

Our filter masks firmly in place, we silently ease out of the concealed block behind the disabled toilets and past the sabotaged air-conditioning unit. The girl’s preparation has been good, for there is no klaxon, no lights, no alarm: following her confident lead, I guide the wheely bag carefully past the two tumbledown security-suit mannequins and onwards through the exhibition. Looking ahead, always ahead, we glide swiftly past countless Ouroubos-filled stands and up the wheelchair ramp to the locked glass plinth in the arena’s central raised area – yes, to the book. Or rather, to ‘The Book’.

She reaches into her pocket and pulls out the diamond-edged ring we made together over the shimmering orange dawn-lit fire on the mountainside: looking in her eyes, I take it and slide it quickly onto my middle finger. The girl – is she young, or old? Suddenly I can’t tell any more – nods, flicking her renegade, emptily-hungry eyes at me, and deftly touches my shoulder, her fingertip feeling for all the world like a butterfly landing and quickly gently launching itself away, far away into the curious half-light. On cue, I turn my attention to the security glass, and carefully use the hard-edged symbol of our union to etch its front face with four good-size concentric circles.

The hall is starting to fill, now: our small army of alchemists is emerging one by one from their hiding places behind occult bookstalls, beneath pagan stall covers and carefully-positioned wizard cloaks, each with a red or yellow hood and a surgical mask tightly fastened down, just as she had specified. As the last of the twelve completes the circle around us, I step sharply forward and punch the ring’s diamond tip right at the centre of the design. The glass buckles a little, yet doesn’t quite give way – No, I think, something is wrong, and for an instant a cloud of burnt cinnamon doubt swirls around me, enveloping me in the riptide of fears I’ve worked so hard to suppress these past three years.

Yet perhaps sensing my edginess, the alchemists start to clap and chant, and before long I feel their resolve coursing through my veins. The bull in my soul charges forward and I punch, punch, punch the toughened glass until it starts to yield to my attacks, and its etched central circle finally gives way. Impatiently, I widen the glassy gap with my bare hands just enough to remove the book and to raise it over my head in triumph, tersely spattering its centuries-rigid vellum cover with my blood as I do so. The alchemists swoop in too to hold it aloft and to turn it to The Page, that one, marvellous page we have been waiting to see all our lives.

I look over to the girl: she nods once again and I bring out the ceremonial firebowl from the bag. Adam – dear, ever-reliable Frater Adamus – deftly removes the page with his pocket knife, folds it to shape, fills it with regulus of antimony, and ties up its gathered top using aqua vitae-impregnated handmade blue twine from his workshop. We are all trembling now, for everyone (even Baresch) was right – the Philosophers’ Stone is indeed hidden inside The Book: yet this is neither a metaphorical truth nor a pharmacological truth, but instead a literal truth. For once you have – as we have, over so many decades – worked to decode its carefully layered and allusive visual symbolism, the Voynich’s pages form a map spiralling in on itself… all pointing to one place, the single slightly-thicker-than-average vellum herbal bifolio inside which the tiny fragments of Stone were sealed all those centuries ago. We, then, are its 21st century liberators, its alchemical revolutionary freedom front: all we have to do now is light the blue touchpaper, and see the long-promised fireworks. And this ceremony marks the end of alchemy’s epic struggle, the chequered flag at the finishing line of two millennia of The Work. My queen nods once more for me to step forward with my lit taper, so that we can all make the ultimate step – beyond History, beyond pain, beyond Time itself. And I do, but…

* * * * * *

There are colours in my eyes, history flickering and sputtering as a beautiful infinity reaches out to hold my bloodsoaked hand… In this moment, I don’t know if I’m living forever or dying forever, if the girl is really human or some selfish dark spirit that is guiding me I know not where. Am I releasing her or creating her? Is she part of me or am I part of her? A flash from the the burning vellum page suddenly lights up our faces and I lay down beside her on the floor, the alchemical king and queen finally together, just as the Ancients foretold. A fire alarm finally goes off, its sprinklers lurch into action with a indoor cloudburst, but it is all too late, far too late, the Stone is here, The Stone Is Here! For all the burning, twisting sensations, we know for certain that the Stone is merely giving us a taste of ultimate Death to deliver its promise of ultimate Life. Yet though the colours in its flames are more intense than ever now, so too is the agony: I turn to the girl and see the same things I’m feeling reflected in her sprinkler-soaked face, and as we hold each other tightly I know it is both the end and the beginning, and our eternal future together lies in and beyond the Stone…

* * * * * *

Why on earth, mused the firemen, policemen, and paramedics, would anyone have gone to the trouble of placing all those strangely-posed lifelike statues in the middle of the hall? And why was just a single page missing from the precious Voynich Manuscript, on a rare two-day loan to this alchemy conference? File it under ‘M’ for ‘mystery’…

Some Voynich short stories…

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For a change, here are some links to short-ish Voynich stories not actually written by me. 😉

Mataoaka has posted up two chapters of “Infernobella’s Adventures: the Voynich Manuscript” you might enjoy. Here’s Chapter 1, and here’s the (only-just-posted but fairly short) Chapter 2 – if you want to read more, tell the author to write some more! And yes, capturing “moonlight in a box” would indeed probably be easier than solving the VMs. 🙂

Secondly, here’s a link to Google’s cache of a nice little short story called “Ganthua” – though this only briefly name-checks the Voynich Manuscript, I rather like its characters and its oddly religious narrative spirit, revolving as it does around an implausibly large creature’s appearing on the beach on day and attracting a curious cult following. I don’t know why the author deleted his “Bit Gild” blog – if you happen to know him, tell him I liked Ganthua! More, please! 🙂

Codes on film!

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I think that there will always be films based around codes because they give screenwriters such an “easy in”. Just saying “code” conjures up…

  • Dark secrets (e.g. heresy undermining The Church, free energy undermining The Market, occult powers, any old stuff really)
  • Powerful interests (usually multiple conspiracies fighting each other behind the scenes for control of ‘The Secret’)
  • A central McGuffin that is small enough to be concealed, smuggled and fought over in hand-to-hand combat in an implausible (often underground) location
  • Highly motivated central character(s) who, though technically prepared for the challenge, rapidly find themselves out of their depth in every other sense
  • (and so on)

Do you need to know much more than the title to construct the film poster? No wonder film companies like codes so much! I’m immediately reminded of Mercury Rising (which I saw again recently, and sort-of enjoyed), but also the 2010’s The 7th Dimension which is just being premiered. Personally, I tend to avoid films where any of the main characters are billed as “hackers” like the plague, but then again that might be because I’m a computer programmer by trade – if I was a dentist, perhaps I’d have done the same for Marathon Man, who knows? 🙂

Anyhow… an historical cipher-themed film I’m genuinely looking forward to is The Thomas Beale Cipher, a short animated film by Andrew S. Allen that has already premiered and should be out on the international festival circuit during the rest of 2010. Details are (probably deliberately) sketchy right now (for example, the YouTube sampler video for the film has been withdrawn), but there is a Facebook page to whet your appetite a little – I’ll let you know of any screening dates.

Not quite so high on my list of upcoming historical code films to look for is The Ancient Code, to be distributed by Warner Brothers. This has apparently been in production for a couple of years, and gives every impression – from the fairly PR-centric set of materials on the website – of being a set of talking heads talking their heads off about different aspects of holism, surrounded by faux-psychedelic video editing effects. It’s true that the film-makers have  assembled a fairly, well, eclectic set of heads to do their talking thang: but it’s hard to see how Nick Pope, Tim Wallace-Murphy, Philip Gardiner, and even Johnny Ball (the former children’s TV presenter who you may recall attracting some criticism in late 2009 for his particularly colourful denial of climate change) amount to a gigantic hill of gravitas re ancient wisdom and codes concealed through the ages. But all the same, I’ll continue to try hard to swim against the tide of unconvincingness the film seems to be sweating from every pore, so wish me luck in that endeavour. 🙂

And finally… clicking onwards from The Ancient Code’s not-so-ancient website leads us neatly to Philip Gardiner’s upcoming The James Bond Code, which struggles valiantly to connect Ian Fleming’s (anti)hero James Bond with alchemy and gnosis (apparently via voodoo and numerology). There’s even a fan music video based on the book, which frankly even I’m struggling to grasp any kind of rationale for. Doubtless there’s some kind of film optioning angle going on here too. Honestly, would anyone apart from a rather fevered PR hack call this “The Thinking Man’s Da Vinci Code“? [Nope, not a hope, sorry.] But all the same, there you have it, so feel free to add it (or not) to your own personal list of, errm, ‘hysterical historical hypotheses’, along with Gavin Menzies’ 1421 & 1434, Edith Sherwood’s “Leonardo da Vinci wrote the Voynich Manuscript” theory, etc.

The Chaocipher got Slashdotted!

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The Internet is a strange thing, a virtual photographer’s jacket crammed with countless pockets of enthusiasts. For example, you beautiful cipher mysteries fans circulate within one bijou (but nicely-appointed) pocket, while the massed legions of Slashdot fans have a Tardis-style hyperzoom lens pocket all of their own. But… what would happen if these two worlds collided?

A chance to find out came in December 2009, when Edith Sherwood’s The-Voynich-Manuscript-was-made-by-Leonardo-da-Vinci-so-it-was website got picked up by Slashdot. From the 4900 overspill visits Cipher Mysteries got at the time, I estimated that she must have had “(say) 30000 or more” visits. This was probably about right, because in the few days since the same thing happened to Cipher Mysteries last weekend, its visit counter has lurched up by 38,000+. The onslaught started on Saturday night, when at its peak the Cipher Mysteries server was getting a new visitor roughly every second. By late Sunday, however, the story had finally slid off the bottom of the Slashdot front page (which only ever lists the ten most recent news items), at which point the tsunami turned into merely a large river. 🙂

According to the server logs, my Slashdotted Chaocipher page was read in 132 countries (USA 52%, Canada 8%, UK 7.5%, Australia 5.4%, etc), while US Slashdotters were mainly from California, Texas, New York, Washington, followed by another long tail. And OK, I know it’s a biased sample, but it was nice to see Internet Explorer in less than 8% of the browsers. One long-standing stereotype did fall by the wayside, though: there was a relative absence of trolls leaving snarky comments. Might Slashdot be *gasp* growing up? 😉

Actually, the nicest thing about the whole episode for me was that Moshe Rubin’s brother in Florida was unbelievably impressed when he saw Moshe’s name pop up on Slashdot. I know it’s only a small thing, but I’m really pleased for the guy, he deserves credit for his hard work and persistence bringing the Chaocipher out into the light.

* * * * * * *

Some quick follow-up thoughts on the Chaocipher…

It strikes me that Byrne’s neologism “Chaocipher” was remarkably prescient for 1918, because the whole idea of “chaos theory” – as per Wikipedia, “the behavior of dynamical systems that are highly sensitive to initial conditions“, AKA ‘the butterfly effect’ – had not long before that been started by Henri Poincaré. The French mathematician had shown that the classical three-body problem sometimes yielded tricksy outcomes that never converged (i.e. to a collision) nor diverged (i.e. to increasing distance from each other), but where the three bodies were somehow trapped in a dynamically constrained yet utterly mad-looking (OK, he actually said ‘nonperiodic’) manner. Yet after this promising beginning in the 1880s, the ‘chaos’ concept’s journey onwards was a particularly arduous (and non-obvious) one: even though people noticed the signatures of this odd behaviour in many different contexts, they had no comfortable vocabulary to describe it until well after Benoit Mandelbrot and Edward Lorenz in the 1960s.

And so I find it neatly uncanny that the Chaocipher appropriates the “chaos” word 50 years earlier than it should, while at the same time exactly demonstrating the properties that contemporary mathematicians now ascribe to it (i.e. “deterministic chaos”). As the cipher’s twizzling steps subtly mangle the order of the letters on the two rotors, both the error propagation and the cipher system complexity sharply ramp up over time, in a (quite literally) chaotic way: to my eyes, Byrne’s Chaocipher is no less artful and pleasing than any Mandelbrot set I’ve ever seen. However, because its mechanism was not disclosed until this year (2010), it is perhaps best thought of part of the secret history of applied chaos: by way of comparison, the earliest paper on “chaotic cryptography” I’ve found was Baptista’s “Cryptography with chaos” in Physics Letters A (1998) [mentioned online here].

So, it might be that as the full story behind the Chaocipher emerges from Byrne’s papers, we’ll discover that he cleverly applied Poincaré’s and Hadamard’s ideas to cryptography: but – between you and me –  I somehow doubt that this is what really happened. In my mind, there’s something both ham-fistedly mathematical and deviously mechanical about the Chaocipher, that makes its mongrelly combination of Alberti’s cipher wheel and movable circular type something that could (in principle, at least) have been devised any time since about 1465. All the same, I think that the single aspect of the Chaocipher that most makes it resemble an out-of-place artifact is that it is a pure algorithm made solid – a bit like a programming hack devised by someone who had never seen a computer. Perhaps programming is closer to carpentry than we think!

Without doubt, the Chaocipher lies just outside the rigid mathematical confines of the cipher development path laid down by the sequence of crytographers since Alberti: and so for me, the most inspiring lesson to be learned from it is that genius need take only a single step sideways to become utterly unrecognizable to the mainstream. Thinking again about the Voynich Manuscript’s cipher, might that too merely stand a single conceptual step beyond our tightly-blinkered mental range? Furthermore, might that also ultimately turn out to be part of the same secret history of applied chaos? It’s certainly an interesting thought…

Astrolabes, nocturnals and Voynich Manuscript page f57v…

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For a decade, I’ve wondered whether any of the Voynich Manuscript’s circular drawings depict astronomical instruments – for before satnav there was celnav (“celestial navigation”). Here’s a brief guide to three key instrument types from the VMs’ timeframe, and my current thoughts on the enigmatic circular diagram on f57v…

* * * * * * *

A key navigational problem of the 15th century was determining your latitude. Though many different instruments (such as the quadrant, the cross staff, and the back staff) came to be used to do this around this time, I’m restricting my observations here to the three purely circular ones – the astrolabe, the mariner’s astrolabe, and the nocturnal.

(1) Though astrolabes were originally used for determining the positions of planets and stars, people realised that they could also be used for telling the time (if you knew your latitude), or for working out your latitude (if you knew what time of day it was). Astrolabes were constructed from a complex (but well-known and well-documented) set of multilayered rotating components:-

  • A backplate (the mater) whose edge (the limb) is marked round with 24 hours or 360 degrees
  • A large circular central recess (the matrix, or womb) in the mater, into which you insert…
  • A disk (the tympan) containing a stereographically projected map of the sky for a particular latitude
  • On top of the tympan goes a rotating spidery net-like thing (the rete) containing easily recognizable stars;
  • On top of the rete goes a long rotating rule (the rule)
  • On the back goes a second rotating rule-like thing with two sighting holes / marks (the alidade)

If you haven’t seen an astrolabe dissected, there’s a nice annotated diagram on the Whipple Museum website.

My understanding is that most medieval European astrolabes were inaccurate because they were made of wood, though this improved when they started to be made of metal (an innovation which I understand mainly began in the 15th century). Yet even with well made astrolabes to hand, using them can be a bit tricky, particularly when you are at sea: and they’re not very convenient to use at night either.

(2) So, step forward the mariner’s astrolabe (or sea astrolabe or ring). Though this was little more than a cut-down version of the astrolabe, its key design feature was that it was built to be particularly heavy (and so was much more stable at sea). In contrast to the thousands of astrolabes out there, only 21 mariner’s astrolabes are known: the earliest description of one is from 1551, while historians suspect they came into use in the late 15th century.

Really, this was little more than a superheavy astrolabe limb hanging from a ring and with an alidade on the front: but it did the job, so all credit to its inventor… whoever that may be. The Wikipedia mariner’s astrolabe page notes that it might possibly have been Martin Behaim (1459-1507), but because it seems he was adept at relabeling other people’s discoveries and inventions as his own, probably the most we can pragmatically say is that the idea for the mariner’s astrolabe was ‘in the air’ in the mid-to-late 15th century.

(3) Solving the astrolabe’s other major shortcoming, the nocturnal (or nocturlabe, nocturlabium, or horologium noctis) was specifically designed to be used at night. A 2003 paper notes that the first evidence of nocturlabes was not a textual mention in 1524 (as was long thought), but rather a series of actual devices made by Falcono of Bergamo and dating from 1504 to 1507 (who also made astrolabes, such as this one from the British Museum). For a nice picture, the National Maritime Museum has a 17th century nocturnal here (D9091).

As far as construction goes, a nocturnal consisted of: a rotating outer ring marked both with the months of the year and with the 24-hour time; a hole in the middle of the central pivot that you could see through; and a second rotating ring with one, two, or three pointers. Once you had rotated the outer ring to closely match that day’s date, you would hold your nocturnal at arm’s length, line Polaris up through the central hole, and then align the second rotating ring so that its pointers pointed at some well-known stars (normally Shedar [α Cassiopeia], Dubhe [α Ursa Major], and Kochab [ß Ursa Minor]): there’s some nice discussion here on why these were chosen.) Once you had done all that, you would find (as if by high-tech magic) that the major pointer on the second ring would be pointing to the current time of day marked on the first ring. (Well… pretty much, anyway.)

Here’s a simplified look at the night sky, highlighting the four key stars referred to on a typical nocturnal:-

Incidentally, an open history of science question is whether Columbus had a nocturnal on his well-equipped voyages of discovery. This well-informed page seems to imply that he did, and that it was used to determine midnight – the ship’s boy would then turn over an “ampoleta” (a little sand-glass that would take half-an-hour to empty) to start counting out the daily cycle of shifts. Unfortunately, it turns out that Columbus didn’t properly understand how to use his various astronomical instruments, and that he faked a number of his latitude records. Oh well!

To summarize: though the astrolabe had been used and developed since antiquity, there was little about it that was secret circa 1450. However, this was the moment in history when people were starting to apply their formidably Burckhardtian Renaissance ingenuity to get around the limitations of the traditional astrolabe, by adapting the basic design for use at sea and at night. Yet for both the mariner’s astrolabe and the nocturnal, the documentary evidence is silent on who made them first.

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What, then, of the Voynich Manuscript?

I have been trying to get under the skin of the ringed diagram on f57v for many years: even by the VMs’ consistently high level of (well) anomalousness, this page has numerous anomalies on display that seem to promise a way in for the determined Voynich researcher:-

  • Its drawings most closely matches the circular astronomical drawings in Q9 (‘Quire #9‘), yet its bifolio is bound in the middle of the herbal Q8
  • It has a curious piece of marginalia at the bottom right
  • There’s a spare ‘overflow’ word at the top left [marked green below]
  • The second ring comprises essentially the same 17-character sequence repeated four times
  • Each 17-character sequence contains an over-ornate anomalous “gallows” character [marked red below]
  • The 17-character sequence contains a number of low-instance-count letter-shapes
  • The fourth ring contains another long sequence of single characters [marked blue below]
  • It has four strange ‘personifications’ drawn around its centre (seasons? winds? directional spirits?)
  • It is far from clear what the four personifications are depicting, let alone representing
  • Finally, it has a ‘sol’-like dotted sun at the centre

I therefore think that any proper account of f57v should therefore not only offer a high-level explanation of its intent and content, but also a low-level explanation of these anomalous features. The problem is that any reasoning chain to cover this much ground will almost inevitably require a mix of codicology, palaeography, history, astronomy, and historical cryptography… so bear with me while I build this up one step at a time.

First up is codicology: Glen Claston and I agree that f57v was probably the very first page of the astronomical section Q9 – by this, we mean that the two bifolios currently forming Q8 have ended up bound upside-down. So, even though the current folio order is f57-f58-(missing pages)-f65-f66, the original folio order ran f65-f66-(missing)-f57-f58. The page immediately preceding f57v (i.e. f57r) has a herbal picture on it, which is why Glen and I are pretty sure that f57v formed the first page of the astronomical section: while both sides of f58 have starred paragraphs (and no herbal drawings), which also makes it seem misplaced in the herbal section.

A second clue that this is the case is the marginalia mark at the bottom: I think this is a scrawly “ij” with a bar above it (i.e. secundum), indicating the start of Book II (i.e. where Book I would have been the herbal) – this probably isn’t a quire mark because it doesn’t appear on the end folio of a quire. And a third clue is that the page we believe originally facing f57v (i.e. f58r) has an inserted blank block at the start of the first paragraph, which I suspect is a lacuna [highlighted blue below] deliberately left empty to remind the encipherer that the unenciphered version of this page began with an ornamented capital.

As for the odd word at the top left, the odds are that this is no more than an overflow from the outermost text ring: a similar overflow word appears in one of the necromantic magic circles famously described by Richard Kieckhefer as I described in “The Curse” (though of course this doesn’t prove that this page depicts a magic circle).

I think codicology can also help us to understand the mysterious 17-glyph repeating sequence, a pattern that has inspired many a high-concept numerological riff over the years: for if you look carefully at the four over-ornate gallows, you might notice something a bit unexpected…

Even though I’d prefer to be making this judgment on the basis of better scans (which seem unlikely to be arriving any time soon, unfortunately), I’m pretty sure that what we’re seeing here is a pair of characters which have been joined together to resemble a non-existent gallows. I’d even go so far as to say that I think that the decision to make this change was probably made while the author was still writing the page: from which I infer that 18 x 4 would have been too obvious, but 17 x 4 was obscure.

If you accept that this is right, then this changes the number patterns completely, because whereas 4 x 17 = 68 doesn’t really have much numerical (as opposed to numerological) significance, 4 x 18 = 72 does – for you see, 72 x 5° = 360°. And if we are looking at some kind of 360° division of the circle, then all of a sudden this page becomes a strong candidate for being some kind of enciphered or steganographically concealed astronomical instrument, because division into 360° has been a conceptual cornerstone of Western astronomical computing for millennia.

For several years, I therefore wondered if f57v might be depicting an astrolabe: but I have to say that the comparison never really gained any traction, however hard I tried. However… the question now comes round as to whether f57v’s circular drawing might instead depict a mariner’s astrolabe or a nocturnal.

That this might be a mariner’s astrolabe is perfectly plausible. The ‘overflow word’ might denote a ring, the second 360° ring could be the scale round the edge, and the four people in the middle could simply be decorative “fillers” for the four holes normally placed in the middle.

Comparing f57v with a nocturnal, however, is particularly interesting. The obvious thing to hide in the central design would be depictions or denotations of the constellations and the sighting stars so crucial to the operations. Given that there are plenty of different strength lines and curious shapes in the four characters to be found there, let’s take a closer look…

Now, the four elements we’d expect to see in a description of a nocturnal are Cassiopeia, Ursa Major, Ursa, Minor and Polaris: and I suspect that this is what we have here. Look again at the woman’s face on the left, and I wonder whether her name has been quite literally written across her face:-

As for the top and bottom characters here on this page, they have long puzzled Voynich researchers – why are they so wildly hairy and apparently facing away? What kind of a person is being shown here? Perhaps the answer is simply that these represent not people but bears, specifically the Great Bear (Ursa Major) at the top and the Smaller Bear (Ursa Minor) at the bottom.

The final character of the four would represent Polaris (short for stella polaris), which in the 16th Century (?) came to be called ‘Cynosura’ (the Greek mountain nymph who nursed Zeus in Crete). I have to say that I don’t really know what is going on here – perhaps other people better versed in astronomical history or mythology might be able to tell me why this person should be carrying a ring or an egg (?), and what the character’s curious strong lines (nose and top of upper arm) might be denoting.

Yet perhaps the biggest clincher of all, though, is the ‘sol’-like shape right at the centre of f57v. We might be able to discount the possibility that this represents the astrologers’ glyph for the sun, because this only came into use around 1480 (as I recall). For in the context of a drawing of a circular astronomical instrument, is this not – almost unmistakeably – a depiction of Polaris (the dot) as viewed through a hole in the pivot (the circle)?

As always, the evidence is far from complete so you’ll have to make up your own mind on this. But it’s an interesting chain of reasoning, hmmm?

Spookily, the kind of analogue computing embedded in nocturnals has a thoroughly modern equivalent. Polaris does not sit precisely on the Earth’s pole but rather rotates around it very slightly, and so requires a correction in order to be used as a reference for true North (on a ship, say). Hence a spreadsheet can be constructed to make this fine adjustment – essentially, this is a nocturnal simplified and adapted to yield the north correction required. Some good ideas can remain useful for hundreds of years!