Jessica H: My parents' usual ritual was that shortly before Dad's expected arrival at home, Mom would freshen up in preparation. She put on a little lipstick, take off her apron sometimes, and maybe change her blouse, splash on some perfume, and when Dad was home and settled in his favorite chair in the living room, they'd pour drinks and discuss the events of the day, his day. Some months ago my mother gave me an article that she'd found from the 1950's that offered tips to women on the proper way to welcome your man at home after a hard day's work. She read me those guidelines and her comments on them revealed that she had fooled us all. While back in the day she had seemed to be that era's model of a perfect housewife, she was actually downright subversive. Eleanor H: "Prepare yourself, take 15 minutes to rest so you will be refreshed when he arrives." Meanwhile, the kids are throwing their blocks out the window. Jessica H: (laughs) Eleanor H: "Touch up your makeup, put a ribbon in your hair." If I put a ribbon in my hair my husband would leave home. "Be fresh looking, be a little gay and a little more interesting." If he's so bored he should change jobs. "He Probably needs a lift." Eleanor H: "Prepare the children." Make sure you have just one. (laughs) Jessica H: (laughs) Eleanor H: "Take a few minutes to wash their hands and faces. They are little treasures, and he would like to see them like that." Well, wouldn't we all. (laughs) Jessica H: (laughs) Eleanor H: "Be happy to see him, greet him with a smile, and be glad to see him." One more mouth to feed. "Have dinner (laughs) have dinner ready." He doesn't care a thing about dinner, he wants his drink. "Most men are hungry when they come home." Here you are meat loaf, mashed potatoes. Stuff it down 'cause I worked hard on it. Jessica H: (laughs) Eleanor H: "Have him lean back into a comfortable chair, or suggest that he lie down in the bedroom." How about suggesting that we both lie down in the bedroom? Jessica H: (laughs) Eleanor H: "Make the evening his. Never complain if he doesn't take you out to dinner or to other places of entertainment." You could just rot instead. (laughs) "Try to understand his world of strain and pressure." What about my world of strain and pressure? "Try to make your home a place of peace and order, where your husband can renew himself in body and spirit," while you go down the tubes. Jessica H: (laughs) As mom said, she understood that what Dad really required was a drink. He needed to be defused, and we kids steered clear of that living room until that essential transition from sober to tipsy had taken place. Sometimes when my brother Charlie was a little older, nine or ten, he'd venture into their space, but only very cautiously. |
Sunday, September 8, 2024
More Source Material for Stephen King
A Washington Post Exclusive
Exploring Color Space :
"The texts Brown received about Gray . . . ."
Alternate Title:
"Doctor Sleep's Jug Tavern Group Notes"
Doing Dallas
"The stars are bright, they shine at night . . . ."
— Adapted song lyric
"Kercheval, Kesey . . . . Kesey, Kercheval."
Saturday, September 7, 2024
Jazz Links
http://m759.net/wordpress/?p=2255
https://www.nytimes.com/2024/09/07/arts/music/dan-morgenstern-dead.html
Whiteout
See the post "The Ghent Links" from the day a former Vanity Fair
art director turned 81.
Peacock fans may prefer a back-door view from Las Mañanitas .
Annals of Cultural History
Bloomsday, and then Galois's birthday, and then . . . Square Space!
"Ride a painted pony, let the spinning wheel spin."
Summer Love: “Eat your heart out, Sandy Olsson.”
Friday, September 6, 2024
Rolling Stone Obituary Note
A Rolling Stone obituary today for Sérgio Mendes suggests . . .
Related material from this journal . . .
Umberto Eco, Here, too, you entered through a little garden… Amparo drew me aside as we went in. “I’ve figured it out,” she said. “That tapir at the lecture talked about the Aryan age, remember? And this one talks about the decline of the West. Blut und Boden, blood and earth. It’s pure Nazism.” “It’s not that simple, darling. This is a different continent.”…. If the outside was seedy, the inside was a blaze of violent colors. It was a quadrangular hall, with one area set aside for the dancing of the cavalos. The altar was at the far end, protected by a railing, against which stood the platform for the drums, the atabaques. The ritual space was still empty…. |
Suggestive Search
A search in this journal for "Verbo" yields a song lyric . . .
"First we'll show and tell
'Til I reach your pony tail"
— Song lyric
See also related choreography for a "Danny Zuko" in my hometown.
Tikkun for Augustine
Excerpt from a post, now private, on Augustine's Day 2024 . . .
"Every city has its gates, which need not be of stone. Nor need soldiers be upon them or watchers before them. At first, when cities were jewels in a dark and mysterious world, they tended to be round and they had protective walls. To enter, one had to pass through gates, the reward for which was shelter from the overwhelming forests and seas, the merciless and taxing expanse of greens, whites, and blues–wild and free–that stopped at the city walls. In time the ramparts became higher and the gates more massive, until they simply disappeared and were replaced by barriers, subtler than stone, that girded every city like a crown and held in its spirit." — Mark Helprin, Winter's Tale |
A rather different religious quote from this journal three days later —
Note by an Intimation Coordinator
Introduction . . .
See also Figaro by Cartier .
Update of 10:38 AM ET . . . A check on the author of the above yields:
Update of 10:46 AM ET . . .
Sketch for a Blackboard Jungle Book
(With apologies to Kipling.)
And as den mother for this Romulus and Remus . . .
"Se necesita una poca de gracia." — Song lyric.
The Cinematic Imagination: Burning Rider Revisited
Thursday, September 5, 2024
Make Hollywood Sane Again
Folie à Trois: Spanish Steps in Times Square
See as well Nabokov and Gibson on synesthesia.
"A curriculum, a vigor, a local abstraction . . . " — Wallace Stevens
Rydell High Song: “Nel Blu di Pinto di Blu”… Adapted.
Wednesday, September 4, 2024
Mystic Straw Dogs Dialogue
— "Lede Master, how do I get to Carnegie Hall?"
— "Pearl, you must fuck the scarecrow well ."
Autumn Ninefold Square
From a post, now private, in this journal on June 17, 2024 —
James Hillman
EGALITARIAN TYPOLOGIES
VERSUS THE PERCEPTION OF THE UNIQUE
“The kind of movement Olson urges is an inward deepening of the image,
an in-sighting of the superimposed levels of significance within it.
This is the very mode that Jung suggested for grasping dreams —
not as a sequence in time, but as revolving around a nodal complex.”
See as well "True Grids" (Log24, August 9, 2018).
Tuesday, September 3, 2024
Windows Mini-Doodle
From a search in this journal . . .
Also related, but only very personally and indirectly, to Iceland . . .
“At the still point . . . .” — T. S. Eliot
Mission: Possible — Facets and Labyrinth
"… to explore what it means to be human
in all the facets of that and the labyrinth of that."
“Real-Time Strategy Games”
The Coconut Dance —
The above YouTube upload date: April 17, 2020.
"It was — and is — very difficult to focus, to navigate
between each sentence and its real-time double,
to find the fuzzy edges where these reflections meet."
— This journal on April 17, 2020, in a passage quoted
from a Laura Marris essay in The New York Times.
Monday, September 2, 2024
“The Grand Old Duke of York” *
Another Opening, Another Show
Also on that opening date . . . http://m759.net/wordpress/?tag=sex-hex.
Sunday, September 1, 2024
Annals of Secret Architecture: The Chrysler Thrusts
The Cinematic Imagination:
“Frida” Meets “Under the Volcano”
A scene from “Frida” and a scene from the Day of the Dead
festival, Cuernavaca, 30 October 2004.
For Diego Rivera (and Francis Ford Coppola) . . .
"Beyond his mathematics was the unknown. Were his final writings,
an avalanche of 70,000 pages in an often near-illegible hand,
the aimless scribblings of a madman? Or had the anchorite of Lasserre
made one last thrust into the secret architecture of the universe?"
— Phil Hoad in The Guardian , "Sat 31 Aug 2024 06.00 EDT"
Some impressive Chrysler Building thrusts . . .
Related cinematic entertainment . . .
Strip Joints
From the previous post's search for Bester . . .
See also "Strip Mathematics," by Zoltan Dienes —
|
Strip joints I prefer . . .
Sunday Best Meets Sunday Bester
Sunday Best: The link Sunday Art from the previous post.
Sunday Bester: The author Alfred Bester in this journal.
Saturday, August 31, 2024
Annals of British Humor
The date of the the above photo, November 8, 2015, suggests a look
at this journal on that date. See Sunday Art.
Script Idea for Harlan Kane:
The Timeless Meets Time
"kalosmi lokaksaya krt pravrddho"
Also on July 13, 2023 . . .
From the Publications webpage of Dan Gordon —
Math Databases on the Cheap,
lightning talk at LuCaNT, July 2023.
Background from 2022 —
Gordon's informative webpage on mathematical repositories:
https://ljcr.dmgordon.org/cwm/jupyter_book/math_repos.html.
See also ICERM in this journal on November 14, 2012.
The Timeless Meets Time
Friday, August 30, 2024
Annals of Geometric Group Theory
"Eliyahu Rips, Who Claimed to Find
Secret Codes in the Torah, Dies at 75"
See also Gromov in this journal.
Dimensions
From August 17 —
Also from August 17, a dies natalis —
I prefer the "three D's" of Debbie Does Dallas.
Thursday, August 29, 2024
Fearful Symmetry
Peter Woit this afternoon on "The Terrifying Power of Mathematics" —
"… the quantum field theory of fields satisfying the Dirac equation.
Here there’s a standard apparatus of how to calculate given in
every quantum field theory textbook. These standard calculations
involving Dirac gamma-matrices fit well with Feynman’s 'physicists
finding they have the correct equations without understanding them
have been so terrified they give up trying to understand them'."
For a definition of these matrices, see . . .
Weisstein, Eric W. "Dirac Matrices."
From MathWorld — A Wolfram Web Resource.
https://mathworld.wolfram.com/DiracMatrices.html —
"The Dirac matrices are a class of 4×4 matrices which arise
in quantum electrodynamics. There are a variety of different
symbols used, and Dirac matrices are also known as
gamma matrices or Dirac gamma matrices."
For related religious remarks, see "Physics for Poets"
( Log24, April 20, 2022 ).
Walpurgisnacht and More!
Today’s Zuckerberg Temptation
In related news . . .
Today’s Zuckerberg Temptation
The Coal Mining Daughters
Tag suggested by the previous post and by the dies natalis
in a New York Times obituary from today —
Kesey Benchmarks . . .
Amaya
Scene from a TV series that reportedly reached Anya Taylor-Joy's
childhood home, Argentina, on August 29, 2021 . . .
Clip of Taylor-Joy in a film that opened on Augustine's Day, 2020.
Taylor-Joy is currently streaming in "Furiosa."
Wednesday, August 28, 2024
Forms
'In the wide realm of the world
there are ancient forms,
incorruptible and eternal forms —
any one of them might be
the symbol that I sought."
— "The Writing of the God," by Jorge Luis Borges
"The governor showed him a cell
whose floor, walls, and vaulted ceiling
were covered by a drawing (in barbaric colors
that time, before obliterating, had refined)
of an infinite tiger. It was a tiger composed of
many tigers, in the most dizzying of ways;
it was crisscrossed with tigers, striped with tigers,
and contained seas and Himalayas and armies
that resembled other tigers."
— "The Zahir," by Jorge Luis Borges
Related art:
Tuesday, August 27, 2024
Design Logic
From this journal on November 21, 2011 . . .
Joseph T. Clark, S. J., Conventional Logic and Modern Logic:
A Prelude to Transition (Philosophical Studies of the American
Catholic Philosophical Association, III) Woodstock, Maryland:
Woodstock College Press, 1952—
Alonzo Church, "Logic: formal, symbolic, traditional," Dictionary of Philosophy (New York: Philosophical Library, 1942), pp. 170-182. | The contents of this ambitious Dictionary are most uneven. Random reference to its pages is dangerous. But this contribution is among its best. It is condensed. But not dense. A patient and attentive study will pay big dividends in comprehension. Church knows the field and knows how to depict it. A most valuable reference. |
For Rubik Worshippers
The above is six-dimensional as an affine space, but only five-dimensional
as a projective space . . . the space PG(5, 2).
As the domain of the smallest model of the Klein correspondence and the
Klein quadric, PG (5,2) is not without mathematical importance.
See Chess Bricks and Ovid.group.
This post was suggested by the date July 6, 2024 in a Warren, PA obituary
and by that date in this journal.
“Accomplished in Steps”
"It's going to be accomplished in steps,
this establishment of the Talented
in the scheme of things."
— To Ride Pegasus ,
by Anne McCaffrey* (Radcliffe '47)
An AI image created on Feb. 24, 2024, by https://neural.love —
"Lily Collins Playing Chess" —
* Dies Natalis: November 21, 2011.
Monday, August 26, 2024
For the Spanish Steps: Amores Perros
Annals of Entertainment:
Emily in Paris Meets Eyes Wide Shut
Emily in Paris Meets Eyes Wide Shut
Sunday, August 25, 2024
Log Lady Lines
From the post "Log Lady" of June 12, 2020 —
"Battle of White has raged on endlessly.
Everywhere Black will strive to seal his fate."
— Katherine Neville's chess novel The Eight
For Nathalie Emmanuel, star of the recent Francis Ford Coppola
extravaganza "Megalopolis" and, more impressively, of
a John Woo film released to streaming on Aug. 23 . . .
Saturday, August 24, 2024
Right Up Sturgeon’s Alley
See as well the previous post for the above "Pearl" filming location,
an alley beside a movie theater in Whanganui, New Zealand.
Bunker Bingo …
For Theodore Sturgeon (in Vonnegut's oeuvre, "Kilgore Trout") —
Memoir of a (fictional) Whanganui Projectionist and . . .
Related posts: Music for Steiner .
Landmarks
From a Log24 post of May 11, 2022 . . .
From a John Woo film released to streaming on Aug. 23 . . .
Related reading: Hexagram 43.
Language Game for Harlan Kane:
The Mountain Fountain
The Mountain Fountain
From Megalopolis … Back to Paris
Foreword: Emmanuel in this journal.
Prompted by the time 0:47:41 in the above John Woo scene,
some may wish to consult hexagrams 47 and 41.
Friday, August 23, 2024
One Hundred Years of Showbiz
For James Joyce . . . "Here Comes Little Miss Everybody!"
Scandia Tech
In my long-ago high school days, the above title referred to
an imaginary local institution of higher education.
Memories of those days inspired the URL Scandia.tech.
See also the real Scandia, about nine miles northeast of my old school . . .
For Harlan Kane: The Sicilian Defense
From the Feast of Saint Nicholas, 2023 . . .
Thursday, August 22, 2024
Locke & Key: Alpha & Omega
A more sophisticated alpha and omega . . .
— R. T. Curtis, "A New Combinatorial Approach to M 24 ,"
Mathematical Proceedings of the Cambridge Philosophical Society (1976),
A related key . . .
"It must be remarked that these 8 heptads are the key to an elegant proof…."
— Philippe Cara, "RWPRI Geometries for the Alternating Group A8," in
Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference
(July 16-21, 2000), Kluwer Academic Publishers, 2001, ed. Aart Blokhuis,
James W. P. Hirschfeld, Dieter Jungnickel, and Joseph A. Thas, pp. 61-97.
Today’s Zuckerberg Temptation
Another "immersive fan-driven adventure" —
"Where were you when the shit hit the fan?"
Geometric Followups
"Ostlund says that […] 'a lot of the topics in the film
are inspired by Marxist theories.' "
A rather differently inspired square-then-triangle saga . . .
Wednesday, August 21, 2024
“Triangle of Sadness” Conspiracy?
Headline from The Independent —
Why we don’t let compassion get in
The Sicilian superyacht disaster proves one thing – Tuesday 20 August 2024 14:12 BST |
Related reading . . . Other posts now tagged "Original Conspiracy."
For a Fictional “Magic Child” *
Annals of Symbology:
For a New York Times Pilot Fish*
From other posts now tagged Dark Symbol —
The apparent symbols for "times" and "plus"
in the above screenshot are, of course, icons for
browser functions. Readers who prefer the
fanciful may regard them instead as symbols for
"a gateway to another realm," that of number theory.
* See Hemingway on pilot fish and an Instagram post
from Boxing Day, 2016.
For a New York Times Pilot Fish*
Seattle Redefinition
For tributes from friends of Cross, see today's Seattle Times.
Tuesday, August 20, 2024
Academic Tribes
Peter Woit today (https://www.math.columbia.edu/~woit/wordpress/?p=14092): From the beginning in 1984 I was dubious about string theory unification, and by the late 1990s could not understand why this was dominating physics departments and popular science outlets, with no acknowledgement of the serious problems and failures of the theory. From talking privately to physicists, it became clear that the field of particle theory had for quite a while become disturbingly tribal. There was a string theory tribe, seeing itself as embattled and fighting less intelligent other tribes for scarce resources. Those within the tribe wouldn’t say anything publicly critical of the theory, since that would not only hurt their own interests, but possibly get them kicked out of the tribe. Those outside the tribe also were very leery of saying anything, partly because they felt they lacked the expertise to do so, partly because they feared retribution from powerful figures in the string theory tribe. |
See also http://m759.net/wordpress/?tag=tri-be.
The Political Will
From a DNC speech this evening . . .
"When the political will is there, government CAN effectively deliver
for the people of our country. We need to summon that will again…."
Related inspirational material —
A Different Drummer
On Friday, May 10, 2024, The Guardian reported the May 9 death
of rock drummer "Machine Gun" Thompson.
See as well a countdown requiem — May 10 News in this journal.
"The countdown as we know it, 10-9-8-u.s.w.,
was invented by Fritz Lang in 1929 for
the Ufa film Die Frau im Mond . He put it into
the launch scene to heighten the suspense.
'It is another of my damned "touches,"' Fritz Lang said."
“But this torch that I found . . .” — Sinatra
Bullshit Studies
From the above piece by Colby College professor Scott Taylor —
"… a metaphorical 'Rosetta stone' of analogies between
advanced versions of three basic mathematical objects:
numbers, polynomials and geometric spaces."
This is the same sort of contemptible dumbing-down discussed here in
a May 8, 2024 post. In fact, it links to the Quanta essay discussed in that post.
A rather different connection between the above "three basic
mathematical objects" —
Monday, August 19, 2024
Space Odyssey 2001-2024 . . .
Sunday, August 18, 2024
Road to Chicago
See Borsalino, Miller's Crossing, and Road to Perdition.
“Like a Kernel”
“The yarns of seamen have a direct simplicity, — Joseph Conrad in Heart of Darkness
“By groping toward the light we are made to realize
— Arthur Koestler, The Call Girls: A Tragi-Comedy, |
From an obituary of Alain Delon, who reportedly died today . . .
"He starred in the 1976 French best picture winner, 'Mr. Klein,' as a wartime German art dealer threatened by being mistaken for a Jewish man with the same name." |
See as well Felix Christian Klein in this journal.
And then there is being mistaken for a fictional archaeologist
with the same name.
Heart of Weir’d . . . For Mr. Kurtz
A brief excerpt from a 2018 book about the woman who inspired Zen and the Art of Motorcycle Maintenance . . . "There is a passage in Joseph Conrad’s novella, Heart of Darkness (1899), which exemplifies much about what Quality means . . . . … the narrator, Marlow … is … in an environment he finds malign, sinister, macabre, chaotic, indifferently cruel, and nightmarishly meaningless. What saves him is his accidental discovery of a dry old seamanship manual . . . ." Conrad, as quoted in the book cited below: It was an extraordinary find. Its title was An Inquiry into some Points of Seamanship, by a man Towser, Towson – some such name – Master in his Majesty’s Navy. The matter looked dreary reading enough, with illustrative diagrams and repulsive tables of figures, and the copy was sixty years old. I handled this amazing antiquity with the greatest possible tenderness, lest it should dissolve in my hands. Within, Towson or Towser was inquiring earnestly into the breaking strain of ships’ chains and tackle, and other such matters. Not a very enthralling book; but at the first glance you could see there a singleness of intention, an honest concern for the right way of going to work, which made these humble pages, thought out so many years ago, luminous with another than a professional light. The simple old sailor, with his talk of chains and purchases, made me forget the jungle and the pilgrims in a delicious sensation of having come upon something unmistakably real. — From pp. 36-37 of James Essinger and Henry Gurr's
A Woman of Quality: |
See also earlier posts tagged Weir'd.
Saturday, August 17, 2024
Weir’d II —
For “the stuffed men,” “the hollow men” —
A “Project Hail Mary” from the Feast of the Assumption
"I need a photo opportunity . . . ." — Paul Simon
For “the stuffed men,” “the hollow men” —
A “Project Hail Mary” from the Feast of the Assumption
Weir’d!
The producer in question will reportedly "reunite with
Christopher Miller and Phil Lord — the co-writers of 'Spider-Man:
Across the Spider-Verse' (2023) — on an adaptation of
Andy Weir’s 2021 sci-fi novel, 'Project Hail Mary.' " [Link added.]
Some might prefer to be Weir'd in a more traditional way . . .
Space Odyssey . . . 2001 to 2024
As for what Polster called "God's fingerprint" . . .
A version for Hollywood —
Friday, August 16, 2024
The Departure Bus
Thursday, August 15, 2024
Geometry Exercise
As G. M. Conwell pointed out in a 1910 paper, the group of all
40,320 permutations of an 8-element set is the same, in an
abstract sense, as the group of all collineations and dualities
of PG(3,2), the projective 3-space over the 2-element field.
This suggests we study the geometry related to the above group's
actions on the 105 partitions of an 8-set into four separate 2-sets.
Note that 105 equals 15×7 and also 35×3.
In such a study, the 15 points of PG(3,2) might correspond (somehow)
to 15 pairwise-disjoint seven-element subsets of the set of 105 partitions,
and the 35 lines of PG(3,2) might correspond (somehow) to 35 pairwise-
disjoint three-element subsets of the set of 105 partitions.
Exercise: Is this a mere pipe dream?
A search for such a study yields some useful background . . .
Taylor's Index of Names includes neither Conwell nor the
more recent, highly relevant, names Curtis and Conway .
Dies Natalis
A search in this journal for "Wallace Stevens died" is
suggested by a New York Times obituary this afternoon . . .
For Carson: Set Design School
For the National Comedy Center:
“Whose Barn, What Barn . . .” — Song Lyric
File locations at log24.com/log/pix24/ —
“Whose Barn, What Barn . . .” — Song Lyric
For Wallace Stevens: Stanza My Nanodiamond
" 'At Purdue University, we have state-of-the-art facilities
for our research in levitated optomechanics," says Li."
From a Log24 search for Stanza My Stone —
Leonora Woodman, Stanza My Stone: Wallace Stevens
and the Hermetic Tradition, West Lafayette, Indiana:
Purdue University Press, 1983
Wednesday, August 14, 2024
For Anne Carson
From an essay by Carson in London Review of Books,
Vol. 46 No. 16 · 15 August 2024 —
"Handwriting is a mark from inside me
that I put outside me, often with a view
to showing, telling, communicating.
It carries what Gerard Manley Hopkins
calls ‘the inscape’ out.
(Note: Hopkins meant several different things
by ‘inscape’, which I don’t know enough
about his psyche or his poetics to represent here,
but those Dublin notebooks – wow!)"
For a rather different use of "inscape," see a Log24 search.
Some related mathematics, via a beta version of ChatGPT Search —
Death on Transfiguration Day
Midnight Not in Paris
"Before time began . . . ." — Optimus Prime
Tuesday, August 13, 2024
Benchmarks: Speak, Memory . . .
Language Game
Search result: "How to Play Four Square" —
The above game description was suggested by a video
that appeared today embedded in an essay by Joshua Rothman.
From that video: "… to let me join their four square game" —
See as well "Pictures for an Art Director" in this journal.
Context search . . .
log24.com/log/pix24/240813-NYer-video-quote-search-Four_Square_Game.jpg.
. . . and posts tagged Res Ipsa .
The Domain of Images
"Death rules the domain of images
into which the heraldic poet is thrown."
This is from . . .
Attempted Escape from
the Domain of Images :
Scene from Wild Palms,
a work that features
the "image sickness."
Booty Call Continues*
Monday, August 12, 2024
Paris Frameworks: Spectator Sports for . . .
Annals of Philosophy: The X Framework
Physical
Jerome Griswold on a poem by Wallace Stevens:
Santayana says, “The suasion of sanity is physical:
if you cut your animal traces, you run mad”….
The reference is to
"the penultimate chapter of Scepticism and Animal Faith
( 'XXVI. Discernment of Spirit')."
An animal trace related to the previous post —
Griswold reportedly died on Tuesday, Sept. 13, 2022.
Sunday, August 11, 2024
Dreamcatcher Language Game
Place-name from the Ojibwe language . . . Mackinac —
Ojibwa art — From a Dreamcatcher Log 24 search —
Related metadata —
Double Duals
"That in which space itself is contained"
— Wallace Stevens
In the ninefold square,
projective-perspectivity duality
corresponds to
projective-correlation duality.
Illustrations —