From other posts tagged Six-Set —
The six-set also underlies the 21-point projective plane PG(2,4) —
PG(2,4) may be used to construct S(5,8,24), also known as
the large Witt design. Some related research . . .
On four codes with automorphism group PΣL(3,4)
and pseudo-embeddings of the large Witt designs,
by Bart De Bruyn (UGent) and Mou Gao (UGent),
(2020) DESIGNS CODES AND CRYPTOGRAPHY. 88(2), pp. 429-452.
Some background reading —
A first try at using websim.ai as an approach to building a model
of The Diamond Cube for use in later programs. AI in its current state
seems much more helpful in programming than in web seach.
NPRC.org is not, as far as I know, affiliated with NPR.org.
Also not affiliated with the Church of Synchronology.
The New York Times yesterday reported that Marxist theorist
Fredric Jameson died on Sunday.
Related material from a search for Jameson in this journal —
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Rosalind Krauss in The Optical Unconscious
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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. |
See Design Theory and Sustainable in this journal.
"The stuff that dreams are made of." — Bogart
But seriously . . .
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From OSF . . . Among the positions that take this independence even further is Susanne Langer's approach towards meaning. Long before Derrida, she suggested in her chapter "The logic of signs and symbols" that we should understand meaning not as a relation to an author at all. Influenced by music and musical notation, she defines meaning instead as the function of a term from which a pattern emerges:
It is better, perhaps, to say: "Meaning is not a Reference: Langer, Susanne K., 1948 [1954]. Philosophy in a New Key: A Study in the Symbolism of Reason, Rite, and Art. Mentor Book. |
Setting for a heads-of-state meeting, Tel Aviv, Oct. 18, 2023 —
See as well this journal on the above logo-design date —
March 13, 2024: Rearranging the Deck Chairs.
Related I Ching art —
The name TRI.BE of the musical group in
the previous post suggests the URL https://tri.be
of the design firm Modern Tribe . . .
The above Tri.be color palette suggests a review of
the phrase "Color Box" in this journal, and an image:
I prefer Inside Daisy Clover.
In memory of a graphic-design figure who reportedly died
on Monday, Nov. 13, 2023 — images from a post on that date —
"The great aim is accurate, precise and definite description . . . . "
— T. E. Hulme, Speculations: Essays on Humanism and the
Philosophy of Art, ed. Herbert Read. London and New York:
Routledge and Kegan Paul, 1987. First published 1924.
A "Cullinane Diamond Theorem" question suggested today by Bing Chat —
The Replit code development environment featured
in today's previous post has hosted, for some time now,
an embodiment of the design cube from earlier posts —
Related dramatic dialogue from FUBAR —
Hero — I guess I'll take the pill, and get it over with. (Dramatic music playing.)
Villain — This will be fun. (Music intensifies.) Cheers … Nothing's happening.
Hero — Come to think of it, I might have taken the antidote.
Read more at: https://tvshowtranscripts.ourboard.org/… .
Related synchronology check —
For the title, see Saddle in this journal.
Friday, October 21, 2022
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The above cubic equation may also be written as
x3 – x – 1 = 0.
The equation occurred in my own work in 1985:
An architects' equation that appears also in Galois geometry.
For further details on the plastic number, see an article by
Siobhan Roberts on John Baez in The New York Times —
Last updated at 22:46 PM ET on 1 February 2023.
Click for a designer's obituary.
Paraphrase for a road-sign collector:
See as well … Today's New York Times obituary
of the Harvard Business School Publishing
Director of Intellectual Property.
The 'harvard gsd' in the link button below is the Graduate School of Design.
Related material — "News of the World" in this journal.
The previous post discussed the phrase "plot structure."
A different approach —
Textbook art from 1974 —
See as well a more interesting book I enjoyed reading in 1974.
Related material —
CLIPPED FROM The Californian , Salinas, California,
28 July 2001, Saturday • Page 25 —
The above 2001 article on Cruz Saddlery in Salinas is about the family
of "Sacheen Littlefeather," whose real name was reportedly Maria Louise Cruz.
For more about Maria/Sacheen, see yesterday's San Francisco Chronicle :
"Sacheen Littlefeather was a Native American icon.
Her sisters say she was an ethnic fraud."
From that article —
Continuing the "Design Awards" series of posts . . .
See as well, from a search in this journal for Caprica . . .
NY Times news with Google date
of May 30, 2022 (a Monday) —
(Forbes's actual date of death was Sunday, May 22, 2022.
See that date here in light of the May 30 remarks below.)
Also on May 30 —
In memory of an actor who reportedly died on May 7 —
"Mr. Jenkin's play aspires to a Borgesian take on
American cultural rubble (pulp novels, films noir,
diner menus, pop songs, etc.), here assembled into
a labyrinthine, coincidence-driven and self-consciously
artificial plot." — Ben Brantley, New York Times ,1996
See box-space.design.
Related cinematic remarks —
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From Third Text , 2013, Vol. 27, No. 6, pp. 774–785 — "Genealogy of the Image in Histoire(s) du Cinéma : Godard, Warburg and the Iconology of the Interstice" * * * * P. 777 — Godard conceives of the image only in the plural, in the intermediate space between two images, be it a prolonged one (in Histoire(s) there are frequent instances of black screens) or a non-existent one (superimposition, co-presence of two images on screen). He comments: ‘[For me] it’s always two, begin by showing two images rather than one, that’s what I call image, the one made up of two’ [18] and elsewhere, ‘I perceived . . . cinema is that which is between things, not things [themselves] but between one and another.’ [19] 18. Jean-Luc Godard and Youssef Ishaghpour, "Archéologie du cinéma et mémoire du siècle," Farrago ,Tours, 2000, p. 27. The title of this work is reflective of the Godardian agenda that permeates Histoire(s) . 19. Jean-Luc Godard, "Introduction à une véritable histoire du cinéma," Albatros , Paris,1980, p. 145 |
See as well Warburg in this journal.
Related illustration from a search in this journal for Wechsler —
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Above: Dr. Harrison Pope, Harvard professor of psychiatry,
demonstrates the use of the Wechsler Adult Intelligence Scale (WAIS)
“block design” subtest.
— From a Log24 search for “Harrison Pope.”
From a book by Schultz, who reportedly died on Sept. 28:
Seeking continues (in this case, seeking the source) . . .
| Mathematics
The Fano plane block design |
Magic
The Deathly Hallows symbol— |
Another name for the Fano plane design — The Ghostly Hallows.
From a search in this journal for Ghostly —
Underlying Structure of the Design —
Schoolgirl Problem —
Illustration by Pietro Corraini
Corraini design lecture on June 29, 2016 —
This journal on the same day —
I.e. . . . 
The Boston Globe Saturday on Friday's death of one of
the two architects of Boston City Hall —
A gifted storyteller, Mr. McKinnell liked to recount
the response of renowned architect Philip Johnson to
City Hall. “ ‘Absolutely marvelous. … I think it’s wonderful.
… And it’s so ugly!’ ” Mr. McKinnell told Pasnik, adding:
“We thought that was the greatest praise we could get.”
See more ugliness from this journal on Friday —
See also this journal on the death of the other City Hall architect.
On a recently deceased professor emeritus of architecture
at Princeton —
“… Maxwell ‘established the school as a principal
center of design research, history and theory.’ ”
“This is not the Maxwell you’re looking for.”
From The New York Times on Dec. 11 —
See also some other posts in this journal now tagged "Design Notes Dec. 11."
"Mein Führer… Steiner…"
See Hitler Plans and Quadruple System.
"There is such a thing as a quadruple system."
— Saying adapted from a 1962 young-adult novel
Today's announcement of the 2019 Pritzker Architecture Prize
to Arata Isozaki suggests a review.
Isozaki designed the Museum of Contemporary Art building
in Los Angeles in 1986.
A related article from May 19, 2010 —
An excerpt from the Walker article —
Throwback fun with Chermayeff and Geismar —
Other news published on May 19, 2010 —
See also "Character of Permanence" in this journal.
A Midrash for Wikipedia
Midrash —
Related material —
________________________________________________________________________________
Last night's post "Night at the Social Media" suggests . . .
A 404 for Katherine Neville (born on 4/04) —
Click the grid for the tag 5×5 in this journal.
A related book —
See also the previous post, Bucharest Semiotics.
A star figure and the Galois quaternion.
The square root of the former is the latter.
See also a passage quoted here a year ago today
(May the Fourth, "Star Wars Day") —
From a Log24 post of Feb. 5, 2009 —
An online logo today —
See also Harry Potter and the Lightning Bolt.
News item from this afternoon —
The above phrase "mapping systems" suggests a review
of my own very different "map systems." From a search
for that phrase in this journal —
See also "A Four-Color Theorem: Function Decomposition
Over a Finite Field."
The elementary shapes at the top of the figure below mirror
the looking-glass property of the classical Lo Shu square.
The nine shapes at top left* and their looking-glass reflection
illustrate the looking-glass reflection relating two orthogonal
Latin squares over the three digits of modulo-three arithmetic.
Combining these two orthogonal Latin squares,** we have a
representation in base three of the numbers from 0 to 8.
Adding 1 to each of these numbers yields the Lo Shu square.
* The array at top left is from the cover of
Wonder Years:
Werkplaats Typografie 1998-2008.
** A well-known construction.
*** For other instances of what might be
called "design grammar" in combinatorics,
see a slide presentation by Robin Wilson.
No reference to the work of Chomsky is
intended.
Typographical: »
Eightfold Cube:
The life of Mr. Breder is not unrelated to that of Carl Andre.
See also, in this journal, Bulk Apperception.
* See the title in this journal.
Hexagram 29,
The Abyss (Water)
This post was suggested by an August 6, 2010, post by the designer
(in summer or fall, 2010) of the Stack Exchange math logo (see
the previous Log24 post, Art Space Illustrated) —
In that post, the designer quotes the Wilhelm/Baynes I Ching to explain
his choice of Hexagram 63, Water Over Fire, as a personal icon —
"When water in a kettle hangs over fire, the two elements
stand in relation and thus generate energy (cf. the
production of steam). But the resulting tension demands
caution. If the water boils over, the fire is extinguished
and its energy is lost. If the heat is too great, the water
evaporates into the air. These elements here brought in
to relation and thus generating energy are by nature
hostile to each other. Only the most extreme caution
can prevent damage."
See also this journal on Walpurgisnacht (April 30), 2010 —
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Hexagram 29:
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Hexagram 30:
"Hates California,
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A thought from another German-speaking philosopher —
"Die Philosophie ist ein Kampf gegen die Verhexung
unsres Verstandes durch die Mittel unserer Sprache."
See also The Crimson 's abyss in today's 4:35 AM post Art Space, Continued.
The New York Times 's online T Magazine yesterday —
"A version of this article appears in print on December 4, 2016, on page
M263 of T Magazine with the headline: The Year of Magical Thinking."
* Thanks to Emily Witt for inadvertently publicizing the
Miracle Octad Generator of R. T. Curtis, which
summarizes the 759 octads found in the large Witt design.
"So, how do we sift truth from belief? How do we write
our own histories, personally or culturally, and thereby
define ourselves? How do we penetrate years, centuries,
of historical distortion to find original truth? Tonight, this
will be our quest."
— Robert Langdon, symbologist, in "The Da Vinci Code."
"… in Spain. There they are robes worn by priests."
— Langdon, op. cit.
"At CERN the LHC has reached design luminosity,* and is
breaking records with a fast pace of new collisions. This may
have something to do with the report that the LHC is also
about to tear open a portal to another dimension."
See also the following figure from the Log24 Bion posts —
— and Greg Egan's short story "Luminous":
"The theory was, we’d located part of the boundary
between two incompatible systems of mathematics –
both of which were physically true, in their respective
domains. Any sequence of deductions which stayed
entirely on one side of the defect – whether it was the
'near side', where conventional arithmetic applied, or
the 'far side', where the alternative took over – would
be free from contradictions. But any sequence which
crossed the border would give rise to absurdities –
hence S could lead to not-S."
— Greg Egan, Luminous
(Kindle Locations 1284-1288).
* See a definition.
"… if your requirement for success is to be like Steve Jobs,
good luck to you."
— "Transformation at Yahoo Foiled by Marissa Mayer’s
Inability to Bet the Farm," New York Times online yesterday
"Design is how it works." — Steve Jobs
Related material: Posts tagged Ambassadors.
For Aaron Sorkin and Walter Isaacson —
Related material —
Bauhaus Cube, Design Cube, and
Nabokov's Transparent Things .
The Fano Plane —
"A balanced incomplete block design , or BIBD
with parameters b , v , r , k , and λ is an arrangement
of b blocks, taken from a set of v objects (known
for historical reasons as varieties ), such that every
variety appears in exactly r blocks, every block
contains exactly k varieties, and every pair of
varieties appears together in exactly λ blocks.
Such an arrangement is also called a
(b , v , r , k , λ ) design. Thus, (7, 3, 1) [the Fano plane]
is a (7, 7, 3, 3, 1) design."
— Ezra Brown, "The Many Names of (7, 3, 1),"
Mathematics Magazine , Vol. 75, No. 2, April 2002
W. Cherowitzo uses the notation (v, b, r, k, λ) instead of
Brown's (b , v , r , k , λ ). Cherowitzo has described,
without mentioning its close connection with the
Fano-plane design, the following —
"the (8,14,7,4,3)-design on the set
X = {1,2,3,4,5,6,7,8} with blocks:
{1,3,7,8} {1,2,4,8} {2,3,5,8} {3,4,6,8} {4,5,7,8}
{1,5,6,8} {2,6,7,8} {1,2,3,6} {1,2,5,7} {1,3,4,5}
{1,4,6,7} {2,3,4,7} {2,4,5,6} {3,5,6,7}."
We can arrange these 14 blocks in complementary pairs:
{1,2,3,6} {4,5,7,8}
{1,2,4,8} {3,5,6,7}
{1,2,5,7} {3,4,6,8}
{1,3,4,5} {2,6,7,8}
{1,3,7,8} {2,4,5,6}
{1,4,6,7} {2,3,5,8}
{1,5,6,8} {2,3,4,7}.
These pairs correspond to the seven natural slicings
of the following eightfold cube —
Another representation of these seven natural slicings —
These seven slicings represent the seven
planes through the origin in the vector
3-space over the two-element field GF(2).
In a standard construction, these seven
planes provide one way of defining the
seven projective lines of the Fano plane.
A more colorful illustration —
This post was suggested in part by last night's post
of 11:14 PM ET, Southern Charm, and by a post
of 11/14 last year, Another Opening, Another Show.
See also Design Thinking at Wikipedia and the following
two quotations —
CHARLESTON COUNTY, SC (WCSC) (today) –
Dr. Gerrita Postlewait's contract for Superintendent
of Charleston County Schools was approved and
signed in a meeting with school board members
Wednesday morning, a school system official says….
From 2006 to 2013, she was the chief K-12 officer for
the Stupski Foundation, a San Francisco-based
education reform nonprofit. [See related page.]
PHILANTHROPY.COM (Aug. 2, 2012) –
Chris Tebben, executive director of Grantmakers for
Education, says the [Stupski] foundation was among
the first to consider how the problem-solving approach
known as “design thinking” could play a role in improving
education.
Related cinematic remarks: Robot Overlords (now on-demand).
From "How the Guggenheim Got Its Visual Identity,"
by Caitlin Dover, November 4, 2013 —
For the square and half-square in the above logo
as independent design elements, see
the Cullinane diamond theorem.
For the circle and half-circle in the logo,
see Art Wars (July 22, 2012).
For a rectangular space that embodies the name of
the logo's design firm 2×4, see Octad in this journal.
Thanks to the Museum of Modern Art for pointing out
a new emphasis on design in U.S. Army Field Manual 5-0.
MoMA supplies a link to an article from May 3, 2010:
Design Thinking Comes to the U.S. Army.
An excerpt from the manual:
An approach to this text by Harvard's legendary "unreliable reader"—
"The risks multiply, especially when a problem involves 26 March 2010…."
It’s 10 PM. Do you know where your childen are?
This journal a year ago yesterday—
“Some designs work subtly.
Others are successful through sheer force.”
For T.S. Eliot on his birthday, a film review—
"… the Coens are… elegantly asserting design mastery…."
— Peter Bradshaw, review of "Inside Llewyn Davis"
in The Guardian on May 18, 2013
Related material— Two Log24 posts from that date—
Black Hole Revisited and Midnight in Bakhtin.
The former post presents a Jewish approach to
Eliot's concept of time and "the still point."
The latter post presents a more sophisticated approach.
Perhaps the Coens' design mastery extends to the phrase
"time stops" of Kerouac. See the remarks by Dean Moriarty
in On the Road quoted here in the previous post (Sept. 24).
The Coens' film contains, Bradshaw says, "a smoulderingly
Kerouac-y poet, played by Garrett Hedlund." Hedlund played
not Kerouac, but Moriarty, in the 2012 film of On the Road .
Continued from April 2, 2012.
Some predecessors of the Cullinane design cubes of 1984
that lack the Cullinane cubes' symmetry properties—
Kohs cubes (see 1920 article)
Wechsler cubes (see Wechsler in this journal), and
Horowitz cubes (see links below).
"The Cooper-Hewitt National Design Museum
held its design awards gala at Pier 60
in Manhattan on Wednesday night…."
Click on "gala" above for a New York Times story.
Click on "Wednesday" above for a Log24 post.
A link from the latter may be viewed,
in retrospect, as honoring the late
Sylvia Kristel of the Netherlands,
who reportedly died Wednesday.
The link is to an image of a webpage
at the site Polen voor Nederlanders,
i.e., Poland for Netherlanders.
The Log24 post was titled Café Society.
Image from http://www.polenvoornederlanders.nl/ .
The New York Times this morning reports the death
last Tuesday (June 19, 2012) in Boston
of Gerhard Kallman, a Brutalist architect
born in Berlin in 1915.
Some Log24 images from the date of his death—
The above view shows the south side of Kirkland Street (at Quincy).
A more appealing architectural image, from the other side
of Kirkland Street—
The New York Times online front page last night—
"Microsoft introduced its own tablet computer,
called Surface, illustrating the pressure
Apple's success has put on it to marry
software and hardware more tightly."
Commentary—
Google Maps image
"Was ist Raum, wie können wir ihn
erfassen und gestalten?"
The Theory and
Organization of the
Bauhaus (1923)
Update of Feb. 3, 2013:
See also The Perception of Doors in this journal.
''Most people make the mistake of thinking design is what it looks like,''
says Steve Jobs, Apple's C.E.O. ''People think it's this veneer—
that the designers are handed this box and told, 'Make it look good!'
That's not what we think design is. It's not just what it looks like and feels like.
Design is how it works.''
— "The Guts of a New Machine," by Rob Walker,
New York Times Magazine , Sunday, Nov. 30, 2003
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See also, from the day of the above Anything Box review—
St. Peter's Day, 2011— two Log24 posts—
The Shattered Mind and Rome After Dark.
Related boxes… Cosmic Cube and Design Cube.
"Design is how it works." — Steven Jobs (See yesterday's Symmetry.)
Today's American Mathematical Society home page—
Some related material—
The above Rowley paragraph in context (click to enlarge)—
"We employ Curtis's MOG …
both as our main descriptive device and
also as an essential tool in our calculations."
— Peter Rowley in the 2009 paper above, p. 122
And the MOG incorporates the
Geometry of the 4×4 Square.
For this geometry's relation to "design"
in the graphic-arts sense, see
Block Designs in Art and Mathematics.
See the new note Configurations and Squares at finitegeometry.org/sc/.
"Leave a space." — Tom Stoppard, in a play about philosophers
The word "riff" at top in the Times obits is from an ad for Google's Chrome browser.
The white space is artificial, made by deleting last year's dead.
For further details, click on the image below.
A Theory of Pure Design
by Denman Waldo Ross
Lecturer on the Theory of Design
in Harvard University
Boston and New York
Houghton, Mifflin and Company, 1907
PREFACE
"My purpose in this book is to elucidate, so far as I can, the
principles which underlie the practice of drawing and painting
as a Fine Art. Art is generally regarded as the expression of
feelings and emotions which have no explanation except per-
haps in such a word as inspiration , which is expletive rather
than explanatory. Art is regarded as the one activity of man
which has no scientific basis, and the appreciation of Art is
said to be a matter of taste in which no two persons can be
expected to agree. It is my purpose in this book to show how,
in the practice of Art, as in all other practices, we use certain
terms and follow certain principles. Being defined and ex-
plained, these terms and principles may be known and under-
stood by everybody. They are, so to speak, the form of the
language.
While an understanding of the terms and principles of Art
will not, in itself, enable any one to produce important works,
such works are not produced without it. It must be understood,
however, that the understanding of terms and principles
is not, necessarily, an understanding in words. It may lie in
technical processes and in visual images and may never rise,
or shall I say fall, to any formulation in words, either spoken
or written."
_________________________________________________
One of Ross's protégés, Jack Levine, died yesterday at 95. He
is said to have remarked, "I want to paint with the dead ones."
Related material: This journal on the day of Levine's death
and on the day of Martin Gardner's death.
The latter post has an image illustrating Ross's remarks on
formulations in words—
For further details, see Finale, Darkness Visible, and Packed.
From Harvard's 2010 Phi Beta Kappa ceremony—
Think of all the history you’ve read. It started somewhere.
It started at absolute zero, is what you thought.
Just because you couldn’t know what came before.
But imagine: something did.
"To help the graduates find rightness, two addresses are at the heart of the exercises ceremony.
One is by a poet, who reads a work written for the occasion.
The other is by an 'orator,' a guest invited to offer timely discourse."
From this morning's New York Times—
Related material—
Immediately following Inspector Pine in this morning's Times obituary list
is Virginia B. Smith, a former president of Vassar College. Smith died at 87 on August 27.
From her obituary—
Ms. Smith is survived by her partner of 57 years, Florence Oaks.
Call and Response
“One would call out, in the standardized abbreviations of their science, motifs or initial bars of classical compositions, whereupon the other had to respond with the continuation of the piece, or better still with a higher or lower voice, a contrasting theme, and so forth. It was an exercise in memory and improvisation….”
— The Glass Bead Game
Today’s New York Times has an obituary for Bernard Knox, classics professor. Knox died on July 22. On that date this journal happened to have a post, “Soul Riff,” featuring a professor— shown below. Click on the professor for a very relevant classical quotation.
The Soul Riff post also contained the above secondary title—
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For a response from the next day, |
From the current index to obituaries at Telegraph.co.uk—
Teufel is also featured in today's New York Times—
"Mr. Teufel became a semicelebrity, helped in no small part by his last name, which means 'devil' in German."
From Group Analysis , June 1993, vol. 26 no. 2, 203-212—
by Ronald Sandison, Ledbury, Herefordshire HR8 2EY, UK
In my contribution to the Group Analysis Special Section: "Aspects of Religion in Group Analysis" (Sandison, 1993) I hinted that any consideration of a spiritual dimension to the group involves us in a discussion on whether we are dealing with good or evil spirits. But if we say that God is in the group, why is not the Devil there also? Can good and evil coexist in the same group matrix? Is the recognition of evil "nothing but" the ability to distinguish between good and bad? If not, then what is evil? Is it no more than the absence of good?
These and other questions were worked on at a joint Institute of Group Analysis and Group-Analytic Society (London) Workshop entitled "The Problem of Good and Evil." We considered the likelihood that good and evil coexist in all of us, as well as in the whole of the natural world, not only on earth, but in the cosmos and in God himself What we actually do with good and evil is to split them apart, thereby shelving the problem but at the same time creating irreconcilable opposites. This article examines this splitting and how we can work with it psychoanalytically.
This suggests a biblical remark—
"Now there was a day… when the sons of God
came to present themselves before the Lord,
and Satan came also among them."
— Job 1:6, quoted by Chesterton in The Man Who Was Thursday
Sandison died on June 18. See the Thursday, August 5, Log24 post "The Matrix."
Teufel died on July 6. See the Log24 posts for that day.
The title of this post, "rift designs," refers to a recurring theme in the July 6 posts. It is taken from Heidegger.
From a recent New Yorker review of Absence of Mind by Marilynne Robinson—
"Robinson is eloquent in her defense of the mind’s prerogatives, but her call for a renewed metaphysics might be better served by rereading Heidegger than by dusting off the Psalms."
Following this advice, we find—
"Propriation gathers the rift-design of the saying and unfolds it in such a way that it becomes the well-joined structure of a manifold showing."
— p. 415 of Heidegger's Basic Writings , edited by David Farrell Krell, HarperCollins paperback, 1993
"Das Ereignis versammelt den Aufriß der Sage und entfaltet ihn zum Gefüge des vielfältigen Zeigens."
— Heidegger, Weg zur Sprache
From October 29, 2006 —
"Noi siam venuti al loco ov' i' t'ho detto
che tu vedrai le genti dolorose
c'hanno perduto il ben de l'intelletto."
"We have come to where
I warned you we would find
Those wretched souls
who no longer have
The intellectual benefits of the mind."
From a Harvard student's weblog:
|
Heard in Mather I hope you get gingivitis You want me to get oral cancer?! Goodnight fartface Turd. Turd. Turd. Turd. Turd. Make your own waffles!! Blah blah blah starcraft blah blah starcraft blah starcraft. It's da email da email. And some blue hair! Oohoohoo Izod! 10 gigs! Yeah it smells really bad. Only in the stairs though. Starcraft blah blah Starcraft fartface. Yeah it's hard. You have to get a bunch of battle cruisers. 40 kills! So good! Oh ho ho grunt grunt squeal. I'm getting sick again. You have a final tomorrow? In What?! Um I don't even know. Next year we're draggin him there and sticking the needle in ourselves. " … one more line/ unravelling from the dark design/ spun by God and Cotton Mather" — Robert Lowell |
We open for limited-time releases featuring products
designed and created by artist Lois van Baarle (aka Loish)."
Webpage bottom line . . .
"Created by Loish and SPACEPANDA, Inc."
The New York Times today reports the Oct. 17, 2023,
death of a man who "flipped, violating the mafia’s solemn
oath of loyalty, Omertà."
And then there is academic Omertà.
See
Hemispheres: The Old Up-Down Flip
and
"Before time began . . . ." — Optimus Prime
I noticed this favicon on Sept. 18 (see post) at a publisher's webpage.
It turns out that it is not specific to the publisher, but rather to sites
hosted by Squarespace.com. For instance . . .
See also a post on Christmas Day, 2013.
Related material from the Sept. 18 post mentioned above —
A passage accessed via the new URL Starbrick.art* —
Thursday, February 25, 2021
|
A related cultural note suggested by the New York Times obituary today
of fashion designer Mary McFadden, who reportedly died yesterday
(a Friday the Thirteenth) and is described by the Times as a late-life
partner of "eightfold-way" physicist Murray Gell-Mann —
* A reference to the 2-column 4-row matrix (a "brick") that underlies
the patterns in the Miracle Octad Generator of R. T. Curtis. The only
connection of this eight-part matrix to Gell-Mann's "Eightfold Way"
that I know of is simply the number 8 itself.
Welcome to the towel room.
From a Log24 post of February 26, 2024 —
The URL https://tri.be
of the design firm Modern Tribe . . .
Some will prefer other digital gateways . . .
Amy Adams in The Master
The New York Times asks above,
"Are art and science forever divided?
Or are they one and the same?"
A poet's approach . . .
“The old man of ‘Sailing to Byzantium’ imagined the city’s power
as being able to ‘gather’ him into ‘the artifice of eternity’—
presumably into ‘monuments of unageing intellect,’ immortal and
changeless structures representative of or embodying all knowledge,
linked like a perfect machine at the center of time.”
— Karl Parker, Yeats’ Two Byzantiums
A mathematician's approach . . .
Compare and contrast the 12-dimensional extended binary Golay code
with the smaller 8-dimensional code below, which also has minimum
weight 8 . . .
From Sept. 20, 2022 —
Perhaps someone can prove there is no way that adding more generating
codewords can turn the cube-motif code into the Golay code, or perhaps
someone can supply such generating codewords.
See also other posts tagged Farago in this journal.
Bloomsday, and then Galois's birthday, and then . . . Square Space!
"Ride a painted pony, let the spinning wheel spin."
Main webpage of record . . .
Encyclopedia of Mathematics https://encyclopediaofmath.org/wiki/Cullinane_diamond_theorem
Supplementary PDF from Jan. 6, 2006 https://encyclopediaofmath.org/images/3/37/Dtheorem.pdf
Originally published in paper version . . .
Computer Graphics and Art, 1978 http://finitegeometry.org/sc/gen/Diamond_Theory_Article.pdf
AMS abstract, 1979: "Symmetry Invariance in a Diamond Ring" https://www.cullinane.design/
American Mathematical Monthly, 1984 and 1985: "Triangles Are Square" http://finitegeometry.org/sc/16/trisquare.html
Personal sites . . .
Primary —
Personal journal http://m759.net/wordpress/
Mathematics website http://finitegeometry.org/sc/
Mathematics Images Gallery http://m759.net/piwigo/index.php?/category/2
Secondary —
Portfoliobox https://cullinane.pb.design/
Substack https://stevenhcullinane.substack.com/
Symmetry Summary https://shc759.wordpress.com
Diamond Theory Cover Structure https://shc7596.wixsite.com/website
SOCIAL:
Pinterest https://www.pinterest.com/stevenhcullinane/ (many mathematics notes)
Flickr https://www.flickr.com/photos/m759/ (backup account for images of mathematics notes)
Instagram https://www.instagram.com/stevencullinane
TikTok https://www.tiktok.com/@stevenhcullinane
X.com https://x.com/shc759
OTHER:
Replit viewer/download https://replit.com/@m759/View-4x4x4?v=1
SourceForge download https://sourceforge.net/projects/finitegeometry/
Academia.edu https://stevenhcullinane.academia.edu/ GitHub https://github.com/m759 (finite geometry site download)
Internet Archive: Notes on Groups and Geometry https://archive.org/details/NotesOnGroupsAndGeometry1978-1986/mode/2up
Cited at . . .
The Diamond Theorem and Truchet Tiles http://www.log24.com/log22/220429-Basque-DT-1.pdf
April 2024 UNION article in Spanish featuring the diamond theorem https://union.fespm.es/index.php/UNION/article/view/1608/1214
April 2024 UNION article in English http://log24.com/notes/240923-Ibanez-Torres-on-diamond-theorem-Union-April-2024-in-English.pdf
Cullinane in a 2020 Royal Holloway Ph.D. thesis https://pure.royalholloway.ac.uk/ws/portalfiles/portal/40176912/2020thomsonkphd.pdf
Squares, Chevrons, Pinwheels, and Bach https://www.yumpu.com/en/document/read/36444818/fugue-no-21-elements-of-finite-geometry
Observables programmed presentation of diamond theorem https://observablehq.com/@radames/diamond-theory-symmetry-in-binary-spaces
Josefine Lyche — Plato's Diamond https://web.archive.org/web/20240222064628/http://www.josefinelyche.com/index.php?/selected-exhibitions/platos-diamond/
Josefine Lyche — Diamond Theorem https://web.archive.org/web/20230921122049/http://josefinelyche.com/index.php?/selected-exhibitions/uten-ramme-nye-rom/
Professional sites . . .
Association for Computing Machinery https://member.acm.org/~scullinane
bio.site/cullinane … maintenance at https://biosites.com
ORCID bio page https://orcid.org/0000-0003-1135-419X
Google Scholar https://scholar.google.com/citations?view_op=list_works&hl=en&hl=en&user=NcjmFwQAAAAJ&sortby=pubdate
Academic repositories:
Harvard Dataverse https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/KHMMVH
Harvard DASH article on PG(3,2) https://dash.harvard.edu/handle/1/37373777
Zenodo website download https://zenodo.org/records/1038121
Zenodo research notes https://zenodo.org/search?q=metadata.creators.person_or_org.name%3A%22Cullinane%2C%20Steven%20H.%22&l=list&p=1&s=10&sort=bestmatch
Figurate Geometry at Open Science Framework (OSF) https://osf.io/47fkd/
arXiv: "The Diamond Theorem" https://arxiv.org/abs/1308.1075
A hat tip to . . .
That post suggested . . .
The Source —
https://depositphotos.com/vectors/am.html?qview=157300120
and
Today's description of Dartmouth College as a "gin-soaked gutter"
by Margaret Soltan (i.e., University Diaries) suggests a review:
Monday, November 14, 2022
|
See also "KenKen" and today's previous post.
Earlier . . . a view of a location I walked by on June 19 —
"First important note: this isn't a final redesign of the site!"
The Source :
<span data-timeago="2015-03-13T21:38:56Z">9 years ago</span>
More recently, a view of a location I walked by yesterday —
"First important note: this isn't a final redesign of the site!"
Not unrelated: Six-set Geometry.
For some historical background for the first (1984)
result above, see the second (2013) result.
"At the present time there is no direct experimental evidence
that supersymmetry is a fundamental symmetry of nature . . . ."
— Introduction to the 1983 book
Superspace or One Thousand and One Lessons in Supersymmetry
Also from 1983 . . .
For direct experimental evidence of this symmetry, see . . .
Cover illustration:
Spies returning from the land of
Canaan with a cluster of grapes.
Colored woodcut from
Biblia Sacra Germanica ,
Nuremberg, Anton Koberger, 1483.
Victoria and Albert Museum, London.
Related material —
The Faustus Square :
Design from 1514
A design note from April 24 ten years ago —
A rather different design note from the same date ten years ago —
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