Log24

Saturday, June 30, 2018

Commandment 9 from Outer Space

Filed under: General — m759 @ 10:46 am

A recent New York Times  piece on novelist Jonathan Franzen concludes
with a reference to the Rodney Crowell song "I Don’t Care Anymore.”

Two lines near the end of that song

"If indeed I do get lonesome in my mansion on the hill
There's this neighbor's wife I covet for her beauty and her skill"

Related material —

From Catechism of the Catholic Church
Part III, Section II, Chapter II, Article IX — 

The Ninth Commandment

IN BRIEF

2528  "Everyone who looks at a woman lustfully has already
            committed adultery with her in his heart" (Mt 5:28).

2529   The ninth commandment warns against lust or carnal
             concupiscence.

Publicity still for "Lost in Space" —

More recently

Log24 on the release date of "Sin City" — April First, 2005

Friday, June 29, 2018

Triangles in the Eightfold Cube

From a post of July 25, 2008, “56 Triangles,” on the Klein quartic
and the eightfold cube

Baez’s discussion says that the Klein quartic’s 56 triangles
can be partitioned into 7 eight-triangle Egan ‘cubes’ that
correspond to the 7 points of the Fano plane in such a way
that automorphisms of the Klein quartic correspond to
automorphisms of the Fano plane. Show that the
56 triangles within the eightfold cube can also be partitioned
into 7 eight-triangle sets that correspond to the 7 points of the
Fano plane in such a way that (affine) transformations of the
eightfold cube induce (projective) automorphisms of the Fano plane.”

Related material from 1975 —

More recently

For St. Stanley

Filed under: General,Geometry — Tags: , — m759 @ 1:26 pm

The phrase "Blue Dream" in the previous post
suggests a Web search for Traumnovelle .
That search yields an interesting weblog post
from 2014 commemorating the 1999 dies natalis 
(birth into heaven) of St. Stanley Kubrick.

Related material from March 7, 2014,
in this  journal

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman 

That  2014 post was titled "Kummer Varieties." It is now tagged
"Kummerhenge." For some backstory, see other posts so tagged.

Analogies Between Analogies:

Filed under: General — Tags: — m759 @ 3:33 am

Literary Meditation for the Feast of  SS Peter and Paul

Background McLuhan on analogy.

See a publication offering facsimiles of the original 4×6 cards
of John Shade's "Pale Fire," as Nabokov described them.

Regarding these card proportions, note that 4/6 = 333/500, approximately —
the proportions of the text box in a post from yesterday.

"Continue a search for thirty-three and three" — Katherine Neville.

These rather pointless, but vaguely poetic, analogies were suggested by

  • Yesterday morning's "The Corrections," a post
    featuring spider ballooning and a dead poet, and
     
  • "Blue Dream," a post of Feb. 11, 2006.

Thursday, June 28, 2018

The Corrections

Filed under: General — m759 @ 10:14 am

Trinity Meditation

Filed under: General — Tags: — m759 @ 2:45 am

See Interpenetration and Trinity Cube.

Eine Kleine Nachtmusik

Filed under: General — Tags: — m759 @ 1:00 am

See  Klein Quartic  and  Klein Quadric.

All in Plato

Filed under: General — Tags: — m759 @ 12:32 am

"It's all in Plato" — C. S. Lewis

See too Platonic in this journal —

Counting symmetries with the orbit-stabilizer theorem

Wednesday, June 27, 2018

The Letterman Intro

Filed under: General — Tags: , , — m759 @ 10:28 am

"Summerfield, Kummerhenge.  Kummerhenge, Summerfield."

Taken In

A passage that may or may not have influenced Madeleine L'Engle's
writings about the tesseract :

From Mere Christianity , by C. S. Lewis (1952) —

 

"Book IV – Beyond Personality:
or First Steps in the Doctrine of the Trinity"
. . . .

I warned you that Theology is practical. The whole purpose for which we exist is to be thus taken into the life of God. Wrong ideas about what that life is, will make it harder. And now, for a few minutes, I must ask you to follow rather carefully.

You know that in space you can move in three ways—to left or right, backwards or forwards, up or down. Every direction is either one of these three or a compromise between them. They are called the three Dimensions. Now notice this. If you are using only one dimension, you could draw only a straight line. If you are using two, you could draw a figure: say, a square. And a square is made up of four straight lines. Now a step further. If you have three dimensions, you can then build what we call a solid body, say, a cube—a thing like a dice or a lump of sugar. And a cube is made up of six squares.

Do you see the point? A world of one dimension would be a straight line. In a two-dimensional world, you still get straight lines, but many lines make one figure. In a three-dimensional world, you still get figures but many figures make one solid body. In other words, as you advance to more real and more complicated levels, you do not leave behind you the things you found on the simpler levels: you still have them, but combined in new ways—in ways you could not imagine if you knew only the simpler levels.

Now the Christian account of God involves just the same principle. The human level is a simple and rather empty level. On the human level one person is one being, and any two persons are two separate beings—just as, in two dimensions (say on a flat sheet of paper) one square is one figure, and any two squares are two separate figures. On the Divine level you still find personalities; but up there you find them combined in new ways which we, who do not live on that level, cannot imagine.

In God's dimension, so to speak, you find a being who is three Persons while remaining one Being, just as a cube is six squares while remaining one cube. Of course we cannot fully conceive a Being like that: just as, if we were so made that we perceived only two dimensions in space we could never properly imagine a cube. But we can get a sort of faint notion of it. And when we do, we are then, for the first time in our lives, getting some positive idea, however faint, of something super-personal—something more than a person. It is something we could never have guessed, and yet, once we have been told, one almost feels one ought to have been able to guess it because it fits in so well with all the things we know already.

You may ask, "If we cannot imagine a three-personal Being, what is the good of talking about Him?" Well, there isn't any good talking about Him. The thing that matters is being actually drawn into that three-personal life, and that may begin any time —tonight, if you like.

. . . .

But beware of being drawn into the personal life of the Happy Family .

https://www.jstor.org/stable/24966339

"The colorful story of this undertaking begins with a bang."

And ends with

Martin Gardner on Galois

"Galois was a thoroughly obnoxious nerd,
suffering from what today would be called
a 'personality disorder.'  His anger was
paranoid and unremitting."

Stage

Filed under: General,Geometry — Tags: , — m759 @ 9:27 am

See Ballet Blanc 
and Still Point.

Tuesday, June 26, 2018

Square Space

Filed under: General — m759 @ 7:11 pm

Square Space at cullinane.design

Flores

Filed under: General — m759 @ 10:20 am

"Reverend, Reverend,
Is this some conspiracy?"

Pantera

IMAGE- 'Right through hell there is a path.'

Click George for a meditation on Albee.

Rock Notes

Filed under: General — m759 @ 9:34 am

Photo caption

"Vinnie Paul of the band Hellyeah performs in concert
during Day 2 of the Rock Allegiance Festival at
Talen Energy Stadium on Sunday, Sept. 18, 2016, in
Chester, Pa. (Photo by Owen Sweeney/Invision/AP)"

News report

"Former SKID ROW singer Sebastian Bach played
a cover version of the PANTERA classic 
"Cemetery Gates" as a tribute to Vinnie Paul Abbott 
during his June 24 concert at The Pyramid Cabaret in
Winnipeg, Manitoba, Canada."

Some backstory

What Dreams May Come …

Filed under: General — m759 @ 1:05 am

Novel  Engineering

Monday, June 25, 2018

The Gateway Device

Filed under: General,Geometry — Tags: — m759 @ 6:24 pm
 

<title data-rh="true">Frank Heart, Who Linked Computers Before the Internet, Dies at 89 – The New York Times</title>
. . . .
<meta data-rh="true" name="description" itemprop="description" content="Mr. Heart’s team built the gateway device for the Arpanet, the precursor to the internet. Data networking was so new then, they made it up as they went."/>
. . . .
<meta data-rh="true" property="article:published" itemprop="datePublished" content="2018-06-25T19:16:17.000Z"/>

See also yesterday's "For 6/24" and 

IMAGE- 'Nocciolo': A 'kernel' for Pascal's Hexagrammum Mysticum: The 15 2-subsets of a 6-set as points in a Galois geometry.

The Trials of Device

Filed under: General — Tags: , , , — m759 @ 9:34 am

"A blank underlies the trials of device."

Wallace Stevens

"Designing with just a blank piece of paper is very quiet."

Kate Cullinane

Related material —

An image posted at 12 AM ET December 25, 2014:

The image stands for the
phrase "five by five,"
meaning "loud and clear."

Other posts featuring the above 5×5 square with some added structure:

Sunday, June 24, 2018

For 6/24

Filed under: General,Geometry — Tags: — m759 @ 10:12 am

A clue to the relationship between the Kummer (16, 6)
configuration and the large Mathieu group M24

Related material —

See too the diamond-theorem correlation.

Saturday, June 23, 2018

Meanwhile …

Filed under: General,Geometry — Tags: , , — m759 @ 9:00 pm

Backstory for fiction fans, from Log24 on June 11 —

Related non -fiction —

See as well the structure discussed in today's previous post.

Plan 9 from Inner Space

Filed under: General,Geometry — Tags: , , — m759 @ 9:00 am

From Nanavira Thera, "Early Letters," in Seeking the Path —

"nine  possibilities arising quite naturally" —

Compare and contrast with Hudson's parametrization of the
4×4 square by means of 0 and the 15  2-subsets of a 6-set —

An Argentine Abstraction*

Filed under: General — m759 @ 7:59 am

See Borges + Aleph in this journal.

* Phrase from a poem by Wallace Stevens

Friday, June 22, 2018

Hidden Figure

Filed under: General — m759 @ 11:29 am

See as well Octavia Butler in this  journal.

Seize the Dia …

Filed under: General — m759 @ 11:13 am

Continues .

An etymology check of the "dia" in "diagnostics" —

For the Late Charles Krauthammer

Filed under: General — Tags: — m759 @ 2:00 am

"… lo lidchok et haketz …."

Acceptance speech, Guardian of Zion award, 2002

Eric Voegelin and 'immanentizing the eschaton'

Also on February 20, 2012 —

Thursday, June 21, 2018

Models of Being

Filed under: General,Geometry — Tags: , , — m759 @ 11:30 am

A Buddhist view —

“Just fancy a scale model of Being
made out of string and cardboard.”

— Nanavira Thera, 1 October 1957,
on a model of Kummer’s Quartic Surface
mentioned by Eddington

A Christian view —

A formal view —

From a Log24 search for High Concept:

See also Galois Tesseract.

Dirac and Geometry (continued)

"Just fancy a scale model of Being 
made out of string and cardboard."

Nanavira Thera, 1 October 1957,
on a model of Kummer's Quartic Surface
mentioned by Eddington

"… a treatise on Kummer's quartic surface."

The "super-mathematician" Eddington did not see fit to mention
the title or the author of the treatise he discussed.

See Hudson + Kummer in this  journal.

See also posts tagged Dirac and Geometry.

Cavell’s Matrix

Filed under: General — Tags: , , — m759 @ 3:00 am

From an obituary for Stanley Cavell, Harvard philosopher
who reportedly died at 91 on Tuesday,  June 19:

The London Review of Books  weblog yesterday —

"Michael Wood reviewed [Cavell’s] 
Philosophy the Day after Tomorrow  in 2005:

'The ordinary slips away from us. If we ignore it, we lose it.
If we look at it closely, it becomes extraordinary, the way
words or names become strange if we keep staring at them.
The very notion turns into a baffling riddle.' "

See also, in this  journal, Tuesday morning's Ici vient M. Jordan  and
this  morning's previous post.

Update of 3:24 AM from my RSS feed —

Kummerhenge

Filed under: General,Geometry — Tags: , , — m759 @ 2:19 am

See also the Omega Matrix in this  journal.

Wednesday, June 20, 2018

Feature

Filed under: General,Geometry — m759 @ 5:29 am

"… what we’re witnessing is not a glitch. It’s a feature…."

A Boston Globe  columnist on June 19.

An image from this  journal at the beginning of Bloomsday 2018

An encountered feature , from the midnight beginning of June 16

Literary Symbolism

"… what we’re witnessing is not a glitch. It’s a feature…."

The glitch  encountered on Bloomsday by Agent Smith (who represents 
the academic world) is the author  of the above page, John P. Anderson.
The feature  is the book  that Anderson quotes, James Joyce 
by Richard Ellmann
(first published in 1959, revised in 1982).

Tuesday, June 19, 2018

Death on Father’s Day

Filed under: General — m759 @ 8:45 pm

From the University of Notre Dame in an obituary dated June 17

Timothy O’Meara, provost emeritus, Kenna Professor of Mathematics Emeritus and Trustee Emeritus at the University of Notre Dame, died June 17. He was 90.

A member of the Notre Dame faculty since 1962, O’Meara twice served as chairman of the University’s mathematics department and served as its first lay provost from 1978 to 1996.
. . . .         

He was graduated from the University of Cape Town in 1947 and earned a master’s degree in mathematics there the following year.  Earning his doctoral degree from Princeton University in 1953, he taught at the University of Otago in New Zealand from 1954 to 1956 before returning to Princeton where he served on the mathematics faculty and as a member of the Institute for Advanced Study for the next six years.  
. . . .

In addition to his mathematical teaching and scholarship, he published magisterial works, including “Introduction to Quadratic Forms,” “Lectures on Linear Groups,” “Symplectic Groups” and “The Classical Groups and K-Theory,” co-authored with Alexander J. Hahn, professor of mathematics emeritus at Notre Dame and a former O’Meara doctoral student.
. . . .

Related material (update of 9:20 PM ET on June 19) —

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