In memory of . . .
“Helene Lovie Aldwinckle,
codebreaker, broadcaster and gallerist,
born 26 October 1920; died 24 April 2020″ —
Other posts now also tagged The Cologne Sextet.
In memory of . . .
“Helene Lovie Aldwinckle,
codebreaker, broadcaster and gallerist,
born 26 October 1920; died 24 April 2020″ —
Other posts now also tagged The Cologne Sextet.

For those who prefer fiction —
“Twenty-four glyphs, each one representing not a letter, not a word,
but a concept, arranged into four groups, written in Boris’s own hand,
an artifact that seemed to have resurrected him from the dead. It was
as if he were sitting across from Bourne now, in the dim antiquity of
the museum library.
This was what Bourne was staring at now, written on the unfolded
bit of onionskin.”
— “Robert Ludlum’s” The Bourne Enigma , published on June 21, 2016
Passing, on June 21, 2016, into a higher dimension —
The previous post reported, perhaps inaccurately, a publication
date of February 13, 2020, for the novel The Enigma Cube .
A variant publication date, Jan. 21, 2020, is reported below.
This journal on that date —
Promotional material —
“Did you buckle up?” — Harlan Kane
The publication date of The Enigma Cube reported above was February 13, 2020.
Related material — Log24 posts around that date now tagged The Reality Bond.
Grothendieck reportedly died on Thursday, November 13, 2014.
From this journal a year earlier:
After clicking on the link “a grave intellectual whole” from the Nov. 13, 2013, post
see also Benedict Cumberbatch’s less serious approach to Bletchley Park:
“I want to see this film; this film’s been up my ass for the last five years.”
For Yom Kippur


4. Image— Argument for the Existence of Rebecca
Some literary and cinematic background—

"Are you the butterfly… ?"
Yesterday evening's Telegraph—
Didi Nearne was inspired by her strong Catholic faith
to believe that she would be well received, and the priest,
appalled at the state of the women, hid them in the bell tower.
In 1944 Nearne, an agent of the Special Operations Executive (SOE) who had
parachuted into France, was captured, interrogated and tortured by the Gestapo,
sent to a concentration camp, and later escaped.
She died at 89 on September 2, 2010. See this journal on that date.
See also Geheimnis des Glockenturms.
A Chronicle of Higher Education website, "Arts & Letters Daily,"
links as above to an American Scholar article of Dec. 18, 2025,
"The Enigma of Ur," by Joseph Horowitz.
That article concludes with a blurb for Horowitz himself:
|
Joseph Horowitz’s forthcoming book is a novel about |
There are, of course, less academic approaches to cultural memory.
"… JoAnna Novak becomes obsessed with the enigmatic
abstract expressionist painter Agnes Martin. She is drawn to
the contradictions in Martin’s life as well as her art—the soft
and exacting brushstrokes she employs for grid-like compositions
that are both rigid and dreamy."
See as well Agnes Martin in this journal.

Data:
"The rockers said via their record label:
'It is with the deepest sadness that we must
announce the passing of the lyricist Keith Reid,
who died suddenly on 23 March 2023,
in hospital in London. He had been receiving
cancer treatment for the past couple of years.
Keith was the co-founder and lyricist for the band
Procol Harum, notably penning their biggest hit
A Whiter Shade of Pale, which contains some of
the most enigmatic lyrics of all time.' "
— https://www.mirror.co.uk/3am/celebrity-news/
breaking-procol-harums-keith-reid-29586101
A note from Log24 on the above March 23 date —
The above Del Shannon upload date
was November 1, 2021 — All Saints' Day.
Synchronicity check —
“Twenty-four glyphs, each one representing not a letter, not a word,
but a concept, arranged into four groups, written in Boris’s own hand,
an artifact that seemed to have resurrected him from the dead. It was
as if he were sitting across from Bourne now, in the dim antiquity of
the museum library.
This was what Bourne was staring at now, written on the unfolded
bit of onionskin.”
— The Bourne Enigma , published on June 21, 2016
Passing, on June 21, 2016, into a higher dimension —
For those who prefer Borges to Bourne —
For the Sith Pyramid, see posts tagged Pyramid Game.
For the Jedi Cube, see posts tagged Enigma Cube
and cube-related remarks by Aitchison at Hiroshima.
This post was suggested by two events of May 16, 2019 —
A weblog post by Frans Marcelis on the Miracle Octad
Generator of R. T. Curtis (illustrated with a pyramid),
and the death of I. M. Pei, architect of the Louvre pyramid.
That these events occurred on the same date is, of course,
completely coincidental.
Perhaps Dan Brown can write a tune to commemorate
the coincidence.
From Log24 posts tagged Structure and Mutability —
“… an artifact that seemed to have resurrected him from the dead.”
— “Robert Ludlum’s” The Bourne Enigma , published on June 21, 2016
See as well the 2020 film Archive , and the related 2018 film Replicas
in Oslo Variations.
“He recounted the story of Adam and Eve, who were banished
from paradise because of their curiosity. Their inability to resist
the temptation of the forbidden fruit. Which itself was a metaphorical
stand-in for knowledge and power. He urged us to find the restraint
needed to resist the temptation of the cube—the biblical apple
in modern garb. He urged us to remain in Eden until we were able
to work out the knowledge the apple offered, all by ourselves.”
— Richards, Douglas E.. The Enigma Cube (Alien Artifact Book 1)
(pp. 160-161). Paragon Press, 2020. Kindle Edition.
The biblical apple also appears in the game, and film, Assassin's Creed .
Related material —
See the cartoon version of Alfred North Whitehead in the previous post,
and some Whitehead-related projective geometry —
Related reading —
"I closed my eyes and saw the number 137—
so very close to the reciprocal of alpha—
on the chest of the runner in Van Cortlandt Park.
Should I start the story there? "
— Alpert, Mark. Saint Joan of New York
(Science and Fiction) (p. 103).
Springer International Publishing. Kindle edition.
Cover detail:
See as well St. Joan in this journal.
Finkelstein reportedly died on Sunday, January 24, 2016.
| “A Serious Man kicks off with a Yiddish-language frame story that takes place in a 19th-century Eastern European shtetl, where a married couple has an enigmatic encounter with an old acquaintance who may be a dybbuk , or malevolent spirit (and who’s played by the Yiddish theater actor Fyvush Finkel). The import of this parable is cryptic to the point of inscrutability, making it a perfect introduction to the rest of the movie.”
— Dana Stevens at Slate.com on Oct. 1, 2009 |
See also Finkelstein in this journal.
See as well posts now tagged Oct. 4, 2018,
in the context of today’s previous post.
In the recent science fiction film "Arrival," Amy Adams portrays
a linguist, Louise Banks, who must learn to translate the language of
aliens ("Heptapods") who have just arrived in their spaceships.
The point of this tale seems to have something to do with Banks
learning, along with the aliens' language, their skill of seeing into
the future.
Louise Banks wannabes might enjoy the works of one
Metod Saniga, who thinks that finite geometry might have
something to do with perceptions of time.
See Metod Saniga, “Algebraic Geometry: A Tool for Resolving
the Enigma of Time?”, in R. Buccheri, V. Di Gesù and M. Saniga (eds.),
Studies on the Structure of Time: From Physics to Psycho(patho)logy,
Kluwer Academic / Plenum Publishers, New York, 2000, pp. 137–166.
Available online at www.ta3.sk/~msaniga/pub/ftp/mathpsych.pdf .
Although I share an interest in finite geometry with Saniga —
see, for instance, his remarks on Conwell heptads in the previous post
and my own remarks in yesterday's post "Schoolgirls and Heptads" —
I do not endorse his temporal speculations.
Publisher's description of a book about everything —
"When the whole is greater than the sum of the parts—
indeed, so great that the sum far transcends the parts
and represents something utterly new and different—
we call that phenomenon emergence."
— Oxford University Press
Titles for Harlan Kane, from the date that
the above book's author reportedly died —
The above title is intended to contrast with the title
of this evening's previous post,
Focus and Clarity in the New Year.
For the Blur and Murk, click on the screenshot below.
Alternate title: Enigma Variations …
Symbol —
Monday, November 7, 2011
|
See a post by Peter Woit from Sept. 24, 2005 — Dirac's Hidden Geometry.
The connection, if any, with recent Log24 posts on Dirac and Geometry
is not immediately apparent. Some related remarks from a novel —
|
From Broken Symmetries by Paul Preuss "He pondered the source of her fascination with the occult, which sooner or later seemed to entangle a lot of thoughtful people who were not already mired in establishmentarian science or religion. It was the religious impulse, at base. Even reason itself could function as a religion, he supposed— but only for those of severely limited imagination. He’d toyed with 'psi' himself, written a couple of papers now much quoted by crackpots, to his chagrin. The reason he and so many other theoretical physicists were suckers for the stuff was easy to understand— for two-thirds of a century an enigma had rested at the heart of theoretical physics, a contradiction, a hard kernel of paradox. Quantum theory was inextricable from the uncertainty relations. The classical fox knows many things, but the quantum-mechanical hedgehog knows only one big thing— at a time. 'Complementarity,' Bohr had called it, a rubbery notion the great professor had stretched to include numerous pairs of opposites. Peter Slater was willing to call it absurdity, and unlike some of his older colleagues who, following in Einstein’s footsteps, demanded causal explanations for everything (at least in principle), Peter had never thirsted after 'hidden variables' to explain what could not be pictured. Mathematical relationships were enough to satisfy him, mere formal relationships which existed at all times, everywhere, at once. It was a thin nectar, but he was convinced it was the nectar of the gods. The psychic investigators, on the other hand, demanded to know how the mind and the psychical world were related. Through ectoplasm, perhaps? Some fifth force of nature? Extra dimensions of spacetime? All these naive explanations were on a par with the assumption that psi is propagated by a species of nonlocal hidden variables, the favored explanation of sophisticates; ignotum per ignotius . 'In this connection one should particularly remember that the human language permits the construction of sentences which do not involve any consequences and which therefore have no content at all…' The words were Heisenberg’s, lecturing in 1929 on the irreducible ambiguity of the uncertainty relations. They reminded Peter of Evan Harris Walker’s ingenious theory of the psi force, a theory that assigned psi both positive and negative values in such a way that the mere presence of a skeptic in the near vicinity of a sensitive psychic investigation could force null results. Neat, Dr. Walker, thought Peter Slater— neat, and totally without content. One had to be willing to tolerate ambiguity; one had to be willing to be crazy. Heisenberg himself was only human— he’d persuasively woven ambiguity into the fabric of the universe itself, but in that same set of 1929 lectures he’d rejected Dirac’s then-new wave equations with the remark, 'Here spontaneous transitions may occur to the states of negative energy; as these have never been observed, the theory is certainly wrong.' It was a reasonable conclusion, and that was its fault, for Dirac’s equations suggested the existence of antimatter: the first antiparticles, whose existence might never have been suspected without Dirac’s crazy results, were found less than three years later. Those so-called crazy psychics were too sane, that was their problem— they were too stubborn to admit that the universe was already more bizarre than anything they could imagine in their wildest dreams of wizardry." |
Particularly relevant …
"Mathematical relationships were enough to satisfy him,
mere formal relationships which existed at all times,
everywhere, at once."
Some related pure mathematics —
Review:
Monday, November 7, 2011
|
See also the phrase "a dance results" in the original
source and in yesterday's Valentine Dance.
Corrections to the NY Times obituary of Alexander Grothendieck
are shown below. For the original Sunday, Nov. 16, NY Times
print obituary (with its online date, Nov. 14), see a copy taken
from a weblog.

For another poetic remark in memory of Grothendieck,
see a Log24 post from November 13, the day of his death.
Related material:
Lead obituary in today’s online New York Times and Los Angeles Times —

Maazel reportedly died on Sunday, July 13, 2014.
From a search in this journal for Iconic Notation,
a related image from August 14, 2010—
See also…
Epiphany
From the obituary of a Bletchley Park
codebreaker who reportedly died on
Armistice Day (Monday, Nov. 11)—
"The main flaw of the Enigma machine,
seen by the inventors as a security-enhancing
measure, was that it would never encipher
a letter as itself…."
Update of 9 PM ET Nov. 13—
"The rogue’s yarn that will run through much of
the material is the algebraic symmetry to which
the name of Galois is attached…."
— Robert P. Langlands,
Institute for Advanced Study, Princeton
"All the turmoil, all the emotions of the scenes
have been digested by the mind into
a grave intellectual whole. It is as though
Bach had written the 1812 Overture."
— Aldous Huxley, "The Best Picture," 1925
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