See also . . .
Illustration . . .
Metadata —
A new article on Norwegian artist Josefine Lyche was added
to the Norwegian Wikipedia on May the Fourth, 2022.
Meanwhile . . .
Artnet.com yesterday on "previously unsung or undersung
female artists working in esoteric or occult traditions" —
Click to enlarge.
See also Apollo in this journal.
“Nine is a very powerful Nordic number.”
— Katherine Neville, who deserves some sort of prize for literature.
— Heidegger, “Hölderlin and the Essence of Poetry,”
translated by Douglas Scott, in Existence and Being ,
Regnery, 1949
For those who understand spoken Norwegian.
I do not. The interview apparently gives some
background on Lyche’s large wall version of
“The 2×2 Case (Diamond Theorem) II.
(After Steven H. Cullinane)” 2012
Size: 260 x 380 cm
See also this work as displayed at a Kjærlighet til Oslo page.
(Updated March 30, 2014, to replace dead Kjaerlighet link.)
"By a knight of ghosts and shadows . . . ."
The "Lindenhurst" on the above map suggests an Irrelevant
geographic history note, and a scholium . . .
A Wroclaw image from 2011 in which a version of my own work appears —
Ekphrasis of the Cullinane-Lyche wall above . . .
From The Golden Key by George MacDonald "We must find the country from which the shadows come," said Mossy. "We must, dear Mossy," responded Tangle. "What if your golden key should be the key to it?" "Ah! that would be grand," returned Mossy. |
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
"Minimalists are actually extreme hoarders:
they hoard space." — Douglas Coupland,
quoted here on May 18, 2017.
More-recent minimalist art —
In honor of the above Villains of Valley View, posts of June 3, 2022,
have now been tagged VVV Day.
This journal on the above Bridge date — July 10, 2013 —
"…des carreaux mi-partis de deux couleurs
par une ligne diagonale…."
See also Josefine Lyche in Vril Chick
and Bowling in Diagon Alley.
* The Brolin of "No Country for Old Men" and "Sicario."
Wednesday, April 30, 2014
|
In memory of the "Thomas Crown Affair" director, who
reportedly died at 97 on Saturday, Jan. 20 —
See as well . . .
Text:
"So excuse me forgetting
But these things I do
You see, I've forgotten
If they're green or they're blue"
See also . . .
Book description at Amazon.com, translated by Google —
Las matemáticas como herramienta
Mathematics as a tool by Raúl Ibáñez Torres Kindle edition in Spanish, 2023 Although the relationship between mathematics and art can be traced back to ancient times, mainly in geometric and technical aspects, it is with the arrival of the avant-garde and abstract art at the beginning of the 20th century that mathematics takes on greater and different relevance: as a source of inspiration and as a tool for artistic creation. Let us think, for example, of the importance of the fourth dimension for avant-garde movements or, starting with Kandisnky and later Max Bill and concrete art, the vindication of mathematical thinking in artistic creation. An idea that would have a fundamental influence on currents such as constructivism, minimalism, the fluxus movement, conceptual art, systematic art or optical art, among others. Following this approach, this book analyzes, through a variety of examples and activities, how mathematics is present in contemporary art as a creative tool. And it does so through five branches and the study of some of its mathematical topics: geometry (the Pythagorean theorem), topology (the Moebius strip), algebra (algebraic groups and matrices), combinatorics (permutations and combinations) and recreational mathematics (magic and Latin squares). |
From the book ("Cullinane Diamond Theorem" heading and picture of
book's cover added) —
Publisher: Los Libros de La Catarata (October 24, 2023)
Author: Raúl Ibáñez Torres, customarily known as Raúl Ibáñez
(Ibáñez does not mention Cullinane as the author of the above theorem
in his book (except indirectly, quoting Josefine Lyche), but he did credit
him fully in an earlier article, "The Truchet Tiles and the Diamond Puzzle"
(translation by Google).)
About Ibáñez (translated from Amazon.com by Google):
Mathematician, professor of Geometry at the University of the Basque Country
and scientific disseminator. He is part of the Chair of Scientific Culture of the
UPV/EHU and its blog Cuaderno de Cultura Cientifica. He has been a scriptwriter
and presenter of the program “Una de Mates” on the television program Órbita Laika.
He has collaborated since 2005 on the programs Graffiti and La mechanica del caracol
on Radio Euskadi. He has also been a collaborator and co-writer of the documentary
Hilos de tiempo (2020) about the artist Esther Ferrer. For 20 years he directed the
DivulgaMAT portal, Virtual Center for the Dissemination of Mathematics, and was a
member of the dissemination commission of the Royal Spanish Mathematical Society.
Author of several books, including The Secrets of Multiplication (2019) and
The Great Family of Numbers (2021), in the collection Miradas Matemáticas (Catarata).
He has received the V José María Savirón Prize for Scientific Dissemination
(national modality, 2010) and the COSCE Prize for the Dissemination of Science (2011).
For art more closely related to the title "Alpha and Omega,"
see a different view of the above Hoyersten exhibition.
"He peered sideways up and gave a long low whistle of call,
then paused awhile in rapt attention, his even white teeth
glistening here and there with gold points. Chrysostomos.
Two strong shrill whistles answered through the calm.
—Thanks, old chap, he cried briskly. That will do nicely.
Switch off the current, will you?"
— Opening scene of Ulysses
"Weep, all you little rains,
Wail, winds, wail,
All along, along, along
The Psilocybin Trail."
From the American Mathematical Society today —
Robert Earl Tubbs (1954-2023)
May 15, 2023
"Tubbs, associate professor of mathematics at
the University of Colorado Boulder, died April 11, 2023,
at the age of 69. He received his PhD in 1981 from
Penn State University under the supervision of
W. Dale Brownawell. His research interests included
number theory, especially transcendental number theory,
the intellectual history of mathematical ideas and mathematics,
and the humanities."
This journal on the dies natalis of Tubbs had the third of three
posts tagged "Space and Form." Those posts dealt with European
cultural history related to Tubbs's interests. The "Space and Form"
posts, along with today's previous Log24 post, suggest a review of
the Nov. 10, 2021 post titled European Culture. An image from that post —
Those who share Cassirer's enthusiasm for myth may regard the
above Josefine Lyche version of my work as a sort of "secret writing,"
to quote a phrase of Cassirer's I find very distasteful. But there is nothing
secret about it, although there is some resemblance to written characters.
This post's title was suggested by a Salinger quote in the European Culture post.
Update on the next day, May 17 —
Further reading in Cassirer's Mythical Thought indicates that in the
passages above, on Schelling, he may be presenting a parody of
Schelling when he writes "a poem hidden behind a wonderful
secret writing." Later, on page 10, he asks, sensibly,
"… is there, perhaps, a means of retaining the question
put forward by Schelling's Philosophie der Mythologie
but of transferring it from the sphere of a philosophy of
the absolute to that of critical philosophy?"
There has reportedly been "an upsurge of interest" in Cassirer —
http://www.log24.com/log/pix23/230408-NYer-crossword-puzzle-urn.jpg
"The two cover characters, who I’ve been thinking of as ○ and □ . . ."
— Chris Ware on his New Yorker cover for the issue dated Dec. 26, 2022.
A current art exhibition in Norway —
"Ashes to ashes , dust to dust ."
Excerpt of Google Book Search results tonight —
(The search, suggested by a current art exhibition, was for
"Josefine Lyche" + Cullinane . See also a 2017 post titled
"So Set 'Em Up, Jo.")
"Gabriel Ice is supposed to be an 'amiable geek'
whose greed and success as a tech entrepreneur
have turned him to the dark side, but it’s hard to
believe that this kid billionaire and his wife would
choose to live in 'deep hairband country' on the
Upper East Side, in a grand dwelling boasting a
Bösendorfer Imperial in the corner of one of its
public rooms, 'at which generations of hired piano
players have provided hours of Kander & Ebb,
Rodgers & Hammerstein, Andrew Lloyd Webber
medleys.' "
— Michiko Kakutani,
review of Pynchon's Bleeding Edge
Related Internet material —
See also LARB on Pynchon's fictional DeepArcher program.
Mank, Baez, Collins — A trip back to Christmas Eve, 2021.
Related art (via Baez) for Josefine Lyche —
See also Lyche in Log24 posts tagged Star Cube.
Alicia — "Gödel never says outright that there is a covenant to which all of mathematics subscribes but you get a clear sense that the hope is there. I know the allure. Some shimmering palimpsest of eternal abidement. But to claim that numbers somehow exist in the Universe with no intelligence to enable them does not require a different sort of mathematics. It requires a different sort of universe." Psychiatrist — "Is there such a universe?"
— McCarthy, Cormac. Stella Maris (p. 180). |
A palimpsest from Oslo artist Josefine Lyche —
Josefine Lyche, sketch for a sculpture: "Truth, Knowledge, Belief."
The sketch itself appears to be in a transparent plastic envelope,
and the triangle figure from Finnegans Wake is apparently from
the envelope, not from the sketch proper.
See also Epistemology in Norway.
The above art by Steven H. Cullinane is not unrelated to
art by Josefine Lyche. Her work includes sculpted replicas
of the above abstract Platonic solids, as well as replicas of
my own work related to properties of the 4×6 rectangle above.
Symmetries of both the solids and the rectangle may be
viewed as permutations of parts — In the Platonic solids,
the parts are permuted by continuous rotations of space itself.
In the rectangle, the parts are permuted by non-continuous
transformations, as in the I Ching . . . i.e., by concrete illustrations
of change.
"As of 2022, it is the oldest web browser still being maintained,,,,"
"The speed benefits of text-only browsing are most apparent
when using low bandwidth internet connections, or older computer
hardware that may be slow to render image-heavy content."
— Wikipedia [“Older” link added.]
And then there is . . .
See as well the LYNX of Oslo artist Josefine Lyche.
Update of June 30, 2022 —
Lyche, whose art often incorporates mathematical notions,
has not yet, as far as I know, explored the Borromean link
(three rings, linked mutually but not pairwise) in her art.
Remarks by a different math fan, Evelyn Lamb —
"I have had a thing for the Borromean rings for years now.
There’s something so poetic about them. The three rings
are strong together, but they fall apart if any one of them
is removed. Alternatively, the three rings are trapped together
until one of them leaves and sets the others free. I’m kind of
surprised there isn’t a Wisława Szymborska poem or
Tom Stoppard play that explores the metaphorical possibilities
in the Borromean rings." — Scientific American , Sept. 30, 2016.
See also the Lamb date Sept. 30, 2016, as well as work
by Lyche, in Log24 posts tagged Star Cube.
Related material — The Log24 post Borromean Generators.
USA Today — "Finland shares an 830-mile border with Russia."
Also bordering Russia … Norway. See the art of Josefine Lyche
at the only legal land Russia-Norway border crossing.
Hoisting the Colours —
"I now know that she bursts into laughter when reading Dostoyevsky,
and that she has a weird connection with a retired mathematician."
— Ann Cathrin Andersen in Brygg Magazine on artist Josefine Lyche,
December 9, 2017
"I used her, she used me, but neither one cared." — Bob Seger
From the previous post —
For the connection between His Dark Materials and The Four Elements ,
see Darkness at Noon (Log24, Jan. 31, 2011).
Risin' Up to the Challenge of Her Rival —
Art School Confidential —
Some context: The Power of the Center in this journal.
An image from the opening of the Netflix series “Locke & Key” —
See also Omega in this journal.
“The key is the cocktail that begins the proceedings.”
– Brian Harley, Mate in Two Moves
“… motifs that look like Monet on acid. This particular mode
of expression has been in Lyche’s repertoire ever since she
graduated from the art academy in 2004.”
Monet-related entertainment —
Wrap that rascal!
Fiction set in Duke Humfrey's Reading Room at
the Bodleian Library, University of Oxford:
"I walked quickly through the original, fifteenth-century part of the library, past the rows of Elizabethan reading desks with their three ascending bookshelves and scarred writing surfaces. Between them, Gothic windows directed the reader’s attention up to the coffered ceilings, where bright paint and gilding picked out the details of the university’s crest of three crowns and open book and where its motto, 'God is my illumination,' was proclaimed repeatedly from on high."
— Harkness, Deborah. A Discovery of Witches: |
Related non-fiction about an event on Jan. 26, 2019 —
Meanwhile, elsewhere —
A later ad for the Lyche exhibition —
See as well some posts about the Eddington song —
“Oh I want to take you down to Kokomo,
we’ll get there fast and then we’ll take it slow
That’s where we want to go, way down in Kokomo”
— Beach Boys (1988), with images in memory of Jeffrey Epstein:
For the shirt, see Norwegian artist Josefine Lyche in
Related material — A pyramid by Lyche and erotic Picasso:
Those who enjoy the occult may be entertained by the number 347 in
“Pablo Picasso. Suite 347.” That number appeared in this journal,
notably, on Christmas Eve 2005 as a page number from the classic
The Club Dumas , a novel by Arturo Perez-Reverte.
“The message was clear: having a finite frame of reference
creates the illusion of a world, but even the reference frame itself
is an illusion. Observers create reality, but observers aren’t real.
There is nothing ontologically distinct about an observer, because
you can always find a frame in which that observer disappears:
the frame of the frame itself, the boundary of the boundary.”
— Amanda Gefter in 2014, quoted here on Mayday 2020.
See as well the previous post.
For the source of these figures in pure mathematics, see …
https://www.imdb.com/name/nm9660064/mediaviewer/rm4265298176.
"The area is home to many artists and people who work in
the media, including many journalists, writers and professionals
working in film and television." — Wikipedia
Tusen takk to My Square Lady —
The title was suggested by the "Crystal Cult" installations
of Oslo artist Josefine Lyche and by a post of May 30 —
Thursday, May 30, 2019 Filed under: General — m759 @ 8:02 PM Edit This Jeff Nichols, director of Midnight Special (2016) —
"When asked about the film's similarities to See also Jung's four-diamond figure and the previous post. |
Writers of fiction are, of course, also dabblers in the collective unconscious.
For instance . . .
A 1971 British paperback edition of The Dreaming Jewels,
a story by Theodore Sturgeon (first version published in 1950):
The above book cover, together with the Death Valley location
Zabriskie Point, suggests . . .
Those less enchanted by the collective unconscious may prefer a
different weblog's remarks on the same date as the above Borax post . . .
" 'My public image is unshakably that of
America’s wholesome virgin, the girl next door,
carefree and brimming with happiness,'
she said in Doris Day: Her Own Story ,
a 1976 book . . . ."
From "Angels & Demons Meet Hudson Hawk" (March 19, 2013) —
From the March 1 post "Solomon and the Image," a related figure —
Foursquare, Inscape, Subway
Foursquare —
Inscape —
Subway —
Art installation, "Crystal Cult" by Josefine Lyche, at an Oslo subway station —
See also today's previous post.
"Maybe an image is too strong
Or maybe is not strong enough."
— "Solomon and the Witch,"
by William Butler Yeats
__________________________________________________________________________
See also the previous post.
I prefer the work of Josefine Lyche on the smallest perfect number/universe.
Context —
Lyche's Lynx760 installations and Vigeland's nearby Norwegian clusterfuck.
Paul Valéry, "Introduction to the Method of Leonardo da Vinci,"
La Nouvelle Revue , Paris, Vol. 95 (1895)—
"Regarded thus, the ornamental conception is to the individual arts
what mathematics is to the other sciences. …the objects chosen
and arranged with a view to a particular effect seem as if disengaged
from most of their properties and only reassume them in the effect,
in, that is to say, the mind of the detached spectator. It is thus
by means of an abstraction that the work of art can be constructed,
and is more or less easy to define according as the elements borrowed
from reality for it are more or less complex. Inversely it is by a sort of
induction, by the production of mental images, that all works of art are
appreciated, and this production must equally be more or less active,
more or less tiring, according as it is set in motion by a simple interlacing
on a vase or a broken phrase by Pascal."
— Translated by Thomas McGreevy (Valéry's Selected Writings,
New Directions, 1950)
Related art —
The above cryptic search result indicates that there may
soon be a new Norwegian art installation based on this page
of Eddington (via Log24) —
See also other posts tagged Kummerhenge.
See also yesterday’s Archimedes at Hiroshima and the
above 24 graphic permutations on All Souls’ Day 2010.
For some backstory, see Narrative Line (November 10, 2014).
For Oslo artist Josefine Lyche, excerpts
from a Google image search today —
Material related to Lyche's experience as an adolescent with a ZX Spectrum computer —
Click "Hello World" for a larger image.
Norwegian artist Josefine Lyche —
Lyche's shirt honors the late Kurt Cobain.
"Here we are now, entertain us."
A Scientific American headline today —
Glittering Diamond Dust in Space
Might Solve a 20-Year-Old Mystery
Related art —
"Never underestimate the power of glitter."
Background: "Diamond Dust" + Glitter in this journal.
A background check of a date from the previous post —
March 12, 2013 — yields . . .
A Wikipedia check of Porter yields . . .
This date from Wikimedia — 3 March 2007 — leads to
a post in memory of Myer Feldman, presidential advisor
and theatrical producer.
"It's been dirty for dirty
Down the line . . ."
— Joni Mitchell,
"For the Roses" album (1972)
The glitter-ball-like image discussed in the previous post
is of an artwork by Olafur Eliasson.
See the kaleidoscopic section of his website.
From that section —
Related art in keeping with the theme of last night's Met Gala —
See also my 2005 webpage Kaleidoscope Puzzle.
On the Oslo artist Josefine Lyche —
"Josefine has taken me through beautiful stories,
ranging from the personal to the platonic
explaining the extensive use of geometry in her art.
I now know that she bursts into laughter when reading
Dostoyevsky, and that she has a weird connection
with a retired mathematician."
— Ann Cathrin Andersen,
http://bryggmagasin.no/2017/behind-the-glitter/
Personal —
The Rushkoff Logo
— From a 2016 graphic novel by Douglas Rushkoff.
See also Rushkoff and Talisman in this journal.
Platonic —
Compare and contrast the shifting hexagon logo in the Rushkoff novel above
with the hexagon-inside-a-cube in my "Diamonds and Whirls" note (1984).
"The walls in the back of the room show geometric shapes
that remind us of the logos on a space shuttle. "
— Web page on an Oslo art installation by Josefine Lyche.
See also Subway Art posts.
The translation above was obtained via Google.
The Norwegian original —
"På veggene bakerst i rommer vises geometriske former
som kan minne om logoene på en romferge."
Related logos — Modal Diamond Box in this journal:
Logos for Philosophers
(Suggested by Modal Logic) —
… According to a comment on the latest Instagram
post of Oslo artist Josefine Lyche —
🏰💎.
See also "Castle Rock" in this journal.
"You grab your experiential richness where you find it."
— Roberta Smith, "Postwar Art Gets a Nervy Makeover"
in the online New York Times today
See also "Romancing the Omega" —
Related mathematics — Guitart in this journal —
See also Weyl + Palermo in this journal —
The New York Times online today:
At MoMA, Women at Play in the Fields of Abstraction
" The famous flowchart of Modern art's evolution simply doesn't apply
in 'Making Space: Women Artists and Postwar Abstraction.' "
From The New York Times online yesterday evening:
“You need firm ground to stand on,”
Mr. Bolles told an interviewer in 2000.
“From there you can deal with the change.”
Mr. Bolles, who reportedly died Friday (March 31, 2017),
was the author of What Color Is Your Parachute? .
See also a Log24 search for Lyche + Rainbow.
Related material — A poster for "Dead Reckoning" (1947).
“Show me all the blueprints.”
— Howard Hughes, according to Hollywood
From an old Dick Tracy strip —
This journal in April 2006 —
Cleaning out her studio, Oslo artist Josefine Lyche
has found some frames from an old art-school audition video —
(Click to enlarge.)
* Search for "st.+peter"+eve+adam+"first+words"
“Danes have been called the happiest people.
I wonder how they measure this.”
— Copenhagen designer in today's online New York Times .
A version of this article is to appear in print on March 26, 2017,
in T Magazine with the headline: "Gray Matters."
See also last night's quarter-to-three post as well as
the webpage "Grids, You Say?" by Norwegian artist Josefine Lyche.
"… and all I got was this lousy sweatshirt" —
Some posts related to the above Rasmus Hungnes exhibition
opening date — Feb. 10, 2017 — are now tagged Bewitchment.
* See Synchronology in this journal.
New York Times headline about a death
on Friday, March 3, 2017 —
René Préval, President of Haiti
in 2010 Quake, Dies at 74
See also …
This way to the egress.
(Notes for Josefine, continued from December 22, 2013)
From a prequel to The Shining , by Stephen King—
You had to keep an eye on the boiler
because if you didn’t, she would creep on you.
What did that mean, anyway? Or was it just
one of those nonsensical things that sometimes
came to you in dreams, so much gibberish?
Of course there was undoubtedly a boiler
in the basement or somewhere to heat the place,
even summer resorts had to have heat sometimes,
didn’t they (if only to supply hot water)? But creep ?
Would a boiler creep ?
You had to keep an eye on the boiler.
It was like one of those crazy riddles,
why is a mouse when it runs,
when is a raven like a writing desk,
what is a creeping boiler?
A related figure —
The New York Times on Wednesday, Sept. 19, 2012 —
This journal on the previous afternoon —
For greater artistic depth, see Tetrads in this journal.
The smallest perfect number,* six, meets
"the smallest perfect universe,"** PG(3,2).
* For the definition of "perfect number," see any introductory
number-theory text that deals with the history of the subject.
** The phrase "smallest perfect universe" as a name for PG(3,2),
the projective 3-space over the 2-element Galois field GF(2),
was coined by math writer Burkard Polster. Cullinane's square
model of PG(3,2) differs from the earlier tetrahedral model
discussed by Polster.
A KUNSTforum.as article online today (translation by Google) —
Update of Sept. 7, 2016: The corrections have been made,
except for the misspelling "Cullinan," which was caused by
Google translation, not by KUNSTforum.
See also Log24 on the above Berlin date — April 16, 2016 —
For some historical background, see
the post ABC Art of November 8, 2015.
Ben Lerner on Judd's art at Marfa —
"as if the installation were waiting to be visited
by an alien or god" — 10:04: A Novel
Oslo artist Josefine Lyche's public Instagram today —
See also Space (May 13, 2015).
"… I would drop the keystone into my arch …."
— Charles Sanders Peirce, "On Phenomenology"
" 'But which is the stone that supports the bridge?' Kublai Khan asks."
— Italo Calvino, Invisible Cities, as quoted by B. Elan Dresher.
(B. Elan Dresher. Nordlyd 41.2 (2014): 165-181,
special issue on Features edited by Martin Krämer,
Sandra Ronai and Peter Svenonius. University of Tromsø –
The Arctic University of Norway.
http://septentrio.uit.no/index.php/nordlyd)
Peter Svenonius and Martin Krämer, introduction to the
Nordlyd double issue on Features —
"Interacting with these questions about the 'geometric'
relations among features is the algebraic structure
of the features."
For another such interaction, see the previous post.
This post may be viewed as a commentary on a remark in Wikipedia —
"All of these ideas speak to the crux of Plato's Problem…."
See also The Diamond Theorem at Tromsø and Mere Geometry.
The New York Times philosophy column yesterday —
The Times's philosophy column "The Stone" is named after the legendary
"philosophers' stone." The column's name, and the title of its essay yesterday
"Is that even a thing?" suggest a review of the eightfold cube as "The object
most closely resembling a 'philosophers' stone' that I know of" (Page 51 of
the current issue of a Norwegian art quarterly, KUNSTforum.as).
The eightfold cube —
Definition of Epiphany
From James Joyce’s Stephen Hero , first published posthumously in 1944. The excerpt below is from a version edited by John J. Slocum and Herbert Cahoon (New York: New Directions Press, 1959). Three Times: … By an epiphany he meant a sudden spiritual manifestation, whether in the vulgarity of speech or of gesture or in a memorable phase of the mind itself. He believed that it was for the man of letters to record these epiphanies with extreme care, seeing that they themselves are the most delicate and evanescent of moments. He told Cranly that the clock of the Ballast Office was capable of an epiphany. Cranly questioned the inscrutable dial of the Ballast Office with his no less inscrutable countenance: — Yes, said Stephen. I will pass it time after time, allude to it, refer to it, catch a glimpse of it. It is only an item in the catalogue of Dublin’s street furniture. Then all at once I see it and I know at once what it is: epiphany. — What? — Imagine my glimpses at that clock as the gropings of a spiritual eye which seeks to adjust its vision to an exact focus. The moment the focus is reached the object is epiphanised. It is just in this epiphany that I find the third, the supreme quality of beauty. — Yes? said Cranly absently. — No esthetic theory, pursued Stephen relentlessly, is of any value which investigates with the aid of the lantern of tradition. What we symbolise in black the Chinaman may symbolise in yellow: each has his own tradition. Greek beauty laughs at Coptic beauty and the American Indian derides them both. It is almost impossible to reconcile all tradition whereas it is by no means impossible to find the justification of every form of beauty which has ever been adored on the earth by an examination into the mechanism of esthetic apprehension whether it be dressed in red, white, yellow or black. We have no reason for thinking that the Chinaman has a different system of digestion from that which we have though our diets are quite dissimilar. The apprehensive faculty must be scrutinised in action. — Yes … — You know what Aquinas says: The three things requisite for beauty are, integrity, a wholeness, symmetry and radiance. Some day I will expand that sentence into a treatise. Consider the performance of your own mind when confronted with any object, hypothetically beautiful. Your mind to apprehend that object divides the entire universe into two parts, the object, and the void which is not the object. To apprehend it you must lift it away from everything else: and then you perceive that it is one integral thing, that is a thing. You recognise its integrity. Isn’t that so? — And then? — That is the first quality of beauty: it is declared in a simple sudden synthesis of the faculty which apprehends. What then? Analysis then. The mind considers the object in whole and in part, in relation to itself and to other objects, examines the balance of its parts, contemplates the form of the object, traverses every cranny of the structure. So the mind receives the impression of the symmetry of the object. The mind recognises that the object is in the strict sense of the word, a thing , a definitely constituted entity. You see? — Let us turn back, said Cranly. They had reached the corner of Grafton St and as the footpath was overcrowded they turned back northwards. Cranly had an inclination to watch the antics of a drunkard who had been ejected from a bar in Suffolk St but Stephen took his arm summarily and led him away. — Now for the third quality. For a long time I couldn’t make out what Aquinas meant. He uses a figurative word (a very unusual thing for him) but I have solved it. Claritas is quidditas . After the analysis which discovers the second quality the mind makes the only logically possible synthesis and discovers the third quality. This is the moment which I call epiphany. First we recognise that the object is one integral thing, then we recognise that it is an organised composite structure, a thing in fact: finally, when the relation of the parts is exquisite, when the parts are adjusted to the special point, we recognise that it is that thing which it is. Its soul, its whatness, leaps to us from the vestment of its appearance. The soul of the commonest object, the structure of which is so adjusted, seems to us radiant. The object achieves its epiphany. Having finished his argument Stephen walked on in silence. He felt Cranly’s hostility and he accused himself of having cheapened the eternal images of beauty. For the first time, too, he felt slightly awkward in his friend’s company and to restore a mood of flippant familiarity he glanced up at the clock of the Ballast Office and smiled: — It has not epiphanised yet, he said. |
A search from the previous post (The Zero Obit) yields
two lines from Wallace Stevens that are echoed as follows…
"That elemental parent, the green night,
Teaching a fusky alphabet."
See also this journal on St. Patrick's Day 2016.
The following page quotes "Raiders of the Lost Crucible,"
a Log24 post from Halloween 2015.
From KUNSTforum.as, a Norwegian art quarterly, issue no. 1 of 2016.
Related posts — See Lyche Eightfold.
A March 10, 2016, Facebook post from KUNSTforum.as,
a Norwegian art quarterly —
Click image above for a view of pages 50-51 of a new KUNSTforum
article showing two photos relevant to my own work — those labeled
"after S. H. Cullinane."
(The phrase "den pensjonerte Oxford-professoren Stephen H. Cullinane"
on page 51 is almost completely wrong. I have never been a professor,
I was never at Oxford, and my first name is Steven, not Stephen.)
For some background on the 15 projective points at the lower left of
the above March 10 Facebook post, see "The Smallest Projective Space."
See "Behind the Glitter" (a recent magazine article
on Oslo artist Josefine Lyche), and the much more
informative web page Contact (from Noplace, Oslo).
From the latter —
"Semiotics is a game of ascribing meaning, or content, to mere surface."
The previous post quoted Holland Cotter's description of
the late Ellsworth Kelly as one who might have admired
"the anonymous role of the Romanesque church artist."
Work of a less anonymous sort was illustrated today by both
The New York Times and The Washington Post —
The Post 's remarks are of particular interest:
Philip Kennicott in The Washington Post , Dec. 28, 2015, “Sculpture for a Large Wall” consisted of 104 anodized aluminum panels, colored red, blue, yellow and black, and laid out on four long rows measuring 65 feet. Each panel seemed different from the next, subtle variations on the parallelogram, and yet together they also suggested a kind of language, or code, as if their shapes, colors and repeating patterns spelled out a basic computer language, or proto-digital message. The space in between the panels, and the shadows they cast on the wall, were also part of the effect, creating a contrast between the material substance of the art, and the cascading visual and mental ideas it conveyed. The piece was playful, and serious; present and absent; material and imaginary; visually bold and intellectually diaphanous. Often, with Kelly, you felt as if he offered up some ideal slice of the world, decontextualized almost to the point of absurdity. A single arc sliced out of a circle; a single perfect rectangle; one bold juxtaposition of color or shape. But when he allowed his work to encompass more complexity, to indulge a rhetoric of repetition, rhythmic contrasts, and multiple self-replicating ideas, it began to feel like language, or narrative. And this was always his best mode. |
Compare and contrast a 2010 work by Josefine Lyche —
Lyche's mirrors-on-the-wall installation is titled
"The 2×2 Case (Diamond Theorem)."
It is based on a smaller illustration of my own.
These variations also, as Kennicott said of Kelly's,
"suggested a kind of language, or code."
This may well be the source of their appeal for Lyche.
For me, however, such suggestiveness is irrelevant to the
significance of the variations in a larger purely geometric
context.
This context is of course quite inaccessible to most art
critics. Steve Martin, however, has a phrase that applies
to both Kelly's and Lyche's installations: "wall power."
See a post of Dec. 15, 2010.
Symbol —
Monday, November 7, 2011
|
A Log24 Hanukkah from five years ago (Dec. 5, 2010) —
Related material: Oslo artist Josefine Lyche's
private Instagram photo of her adolescence with
a ZX Spectrum, and Symbols, Local and Global.
"… 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.
Motto selected by an Oslo artist —
Illustration selected by The Boston Globe —
Notes on perspective selected at Log24 —
* I.e. , those who hunt witches scientifically,
or those who hunt scientific witches —
a matter of, as it were, perspective.
(Suggested by the latest Instagram post of Oslo artist Josefine Lyche)
The following is an excerpt from
"Tummelplatz: Exploring playgrounds for creative
collaborations — A qualitative study of generative
dynamics within temporary work contexts,"
by Emily Moren Aanes and Dragana Trifunović.
(Master's thesis, Oslo, 2013).
Related material: Josefine Lyche in this journal.
From The Snow Queen , by Hans Christian Andersen —
SEVENTH STORY. What Took Place in the Palace of the Snow Queen, and What Happened Afterward The walls of the palace were of driving snow, and the windows and doors of cutting winds. There were more than a hundred halls there, according as the snow was driven by the winds. The largest was many miles in extent; all were lighted up by the powerful Aurora Borealis, and all were so large, so empty, so icy cold, and so resplendent! Mirth never reigned there; there was never even a little bear-ball, with the storm for music, while the polar bears went on their hindlegs and showed off their steps. Never a little tea-party of white young lady foxes; vast, cold, and empty were the halls of the Snow Queen. The northern-lights shone with such precision that one could tell exactly when they were at their highest or lowest degree of brightness. In the middle of the empty, endless hall of snow, was a frozen lake; it was cracked in a thousand pieces, but each piece was so like the other, that it seemed the work of a cunning artificer. In the middle of this lake sat the Snow Queen when she was at home; and then she said she was sitting in the Mirror of Understanding, and that this was the only one and the best thing in the world. Little Kay was quite blue, yes nearly black with cold; but he did not observe it, for she had kissed away all feeling of cold from his body, and his heart was a lump of ice. He was dragging along some pointed flat pieces of ice, which he laid together in all possible ways, for he wanted to make something with them; just as we have little flat pieces of wood to make geometrical figures with, called the Chinese Puzzle. Kay made all sorts of figures, the most complicated, for it was an ice-puzzle for the understanding. In his eyes the figures were extraordinarily beautiful, and of the utmost importance; for the bit of glass which was in his eye caused this. He found whole figures which represented a written word; but he never could manage to represent just the word he wanted–that word was "eternity"; and the Snow Queen had said, "If you can discover that figure, you shall be your own master, and I will make you a present of the whole world and a pair of new skates." But he could not find it out. "I am going now to warm lands," said the Snow Queen. "I must have a look down into the black caldrons." It was the volcanoes Vesuvius and Etna that she meant. "I will just give them a coating of white, for that is as it ought to be; besides, it is good for the oranges and the grapes." And then away she flew, and Kay sat quite alone in the empty halls of ice that were miles long, and looked at the blocks of ice, and thought and thought till his skull was almost cracked. There he sat quite benumbed and motionless; one would have imagined he was frozen to death. …. |
Related material:
This journal on March 25, 2013:
An eightfold cube appears in this detail
of a photo by Josefine Lyche of her
installation "4D Ambassador" at the
Norwegian Sculpture Biennial 2015 —
(Detail from private Instagram photo.)
Catalog description of installation —
Google Translate version —
In a small bedroom to Foredragssalen populate
Josefine Lyche exhibition with a group sculptures
that are part of the work group 4D Ambassador
(2014-2015). Together they form an installation
where she uses light to amplify the feeling of
stepping into a new dimension, for which the title
suggests, this "ambassadors" for a dimension we
normally do not have access to. "Ambassadors"
physical forms presents nonphysical phenomena.
Lyches works have in recent years been placed
in something one might call an "esoteric direction"
in contemporary art, and defines itself this
sculpture group humorous as "glam-minimalist."
She has in many of his works returned to basic
geometric shapes, with hints to the occult,
"new space-age", mathematics and where
everything in between.
See also Lyche + "4D Ambassador" in this journal and
her website page with a 2012 version of that title.
"Now I wanna dance, I wanna win.
I want that trophy, so dance good."
"C'est la vie , say the old folks.
It goes to show you never can tell."
(The title is a phrase from Oslo artist Josefine Lyche's Instagram page today.)
Note that 6 PM ET is midnight in Oslo.
An image from St. Ursula's Day, 2010 —
Related material:
"Is it a genuine demolition of the walls which seem
to separate mind from mind …. ?"
— Clifford Geertz, conclusion of “The Cerebral Savage:
On the Work of Claude Lévi-Strauss“
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