Michiko Kakutani in The New York Times —

"The detective story genre concerns the finding of clues
and the search for hidden designs, and its very form
underscores Mr. Pynchon’s obsession with conspiracies
and the existence of systems too complicated to understand."

— Review of Pynchon's Bleeding Edge , Sept. 10, 2013

Background:  "Moss on the Wall," this  journal on that date.

A less complicated system —

"Plan 9 deals with the resurrection of the dead."

— Bill Murray in "Ed Wood"
 

For The Church of Plan 9

(The plan , as well as the elevation ,
of the above structure is a 3×3 grid.)

The title phrase is from Rosalind Krauss (Under Blue Cup , 2011) —

Another way of looking at the title phrase —

"A very important configuration is obtained by
taking the plane section of a complete space five-point." 
(Veblen and Young, 1910, p. 39) —

For some context, see Desargues + Galois in this journal.

Related material now available online —

A less business-oriented sort of virtual reality —

For example, "A very important configuration is obtained by
taking the plane section of a complete space five-point." 
(Veblen and Young, 1910, p. 39)—

The 4x4x4 cube is the natural setting
for the finite version of the Klein quadric
and the eight "heptads" discussed by
Conwell in 1910.

As R. Shaw remarked in 1995, 
"The situation is indeed quite pleasing."

The title refers to that of the previous post, "The Imaginarium."

In memory of a translator who reportedly died on May  22, 2017,
a passage quoted here on that date —

Related material — A paragraph added on March 15, 2017,
to the Wikipedia article on Galois geometry —

The "bubble" passage in the previous post suggests a review of
a post from December 21, 2006, with the following images —

Update of 11:01 PM ET the same day, June 12, 2017 —

Related material for the Church of Synchronology —

From a tech-article series that began on Halloween 2006 and
ended on the date of the above Geometry's Tombstones post —

Compare and contrast (from a post of Feb. 27, 2017) —

“Lord Arglay had a suspicion that the Stone would be
purely logical.  Yes, he thought, but what, in that sense,
were the rules of its pure logic?”

—Many Dimensions  (1931), by Charles Williams

See also "The Geometry of Logic:
Finite Geometry and the 16 Boolean Connectives"
by Steven H. Cullinane in 2007.

John Horgan and James (Jim) McClellan, according to Horgan
in Scientific American  on June 1, 2017 —

See also posts tagged Dirac and Geometry and Glitch.

Line from "Vide," a post of June 8, 2014 —

Vide  Classical Geometry in Light of Galois Geometry.

Recall that vide  means different things in Latin and in French.

See also Stevens + "Vacant Space" in this journal.

Tiptoe through the tulips with Rota and Erickson:

See also Martin Erickson in this journal . . . 

"But the Work shall not be wholly lost:
For it will, as he believ’d, appear once more,
In a new & more perfect Edition,
Corrected and Amended
By the Author." — Benjamin Franklin

For example, Plato's diamond as an object to be transformed —

Versions of the transformed object —

See also The 4×4 Relativity Problem in this journal.

"… I know for sure that my best insights (those which 
are not just routine calculations) are pre-linguistic, and
I struggle to put them into words . . . ."

— Peter J. Cameron today

See also "George Steiner" + Language in this  journal.

A related figure —

From a post on April 1, the reported date of his death —

The title is from Don McLean's classic "American Pie."

A Finite Projective Space —

A Non-Finite Projective Space —

See also Plan 9.

From this  journal on August 7, 2010  (footnotes added today) —

Prequel —

Note that Yale's die design and use of the phrase "rigid motions"
differ from those in the webpage "Solomon's Cube."

See also Memory, History, Geometry.

Click image for a search.

* Parent company of Westworld.
  See also Delos  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.

An arXiv article from Good Friday, 2003, by Igor Dolgachev,
a student of the late Igor Shafarevich (see previous post) —

See also my Dec. 29, 1986, query on Duality and Symmetry.

… Also known as quaternion —

"Diagram of an 8 leaf gathering: Quaternion (8 folio or leaf gathering).
A quaternion is composed of 4 bifolios. Conjugate folios form a bifolio
at either end of a gathering or quire. So in the diagram above folios
1 and 8 which form a bifolio are conjugate folios."

— http://employees.oneonta.edu/farberas/arth/arth214_folder/workshop.htm

The source:

SUNY Oneonta

ARTH 214
History of Northern Renaissance Art
Spring, 2013

Dr. Allen Farber, Associate Professor

Tuesday, February 26: From Workshop to Chamber:
The Paris Book Industry of the Early Fifteenth Century

"Images for class" folder 

Synchronology: 

An image from Publication, a Log24 post on the above date, 

Feb. 26, 2013 —

In the recent science fiction film "Arrival," Amy Adams portrays
a linguist, Louise Banks, who must learn to translate the language of
aliens ("Heptapods") who have just arrived in their spaceships.

The point of this tale seems to have something to do with Banks
learning, along with the aliens' language, their skill of seeing into
the future.

Louise Banks wannabes might enjoy the works of one
Metod Saniga, who thinks that finite geometry might have
something to do with perceptions of time.

See Metod Saniga, “Algebraic Geometry: A Tool for Resolving
the Enigma of Time?”, in R. Buccheri, V. Di Gesù and M. Saniga (eds.), 
Studies on the Structure of Time: From Physics to Psycho(patho)logy,
Kluwer Academic / Plenum Publishers, New York, 2000, pp. 137–166.
Available online at www.ta3.sk/~msaniga/pub/ftp/mathpsych.pdf .

Although I share an interest in finite geometry with Saniga —
see, for instance, his remarks on Conwell heptads in the previous post
and my own remarks in yesterday's post "Schoolgirls and Heptads" —
I do not endorse his temporal speculations.

Two views of nested sequences of projective structures —

From this journal in April 2013:

From the arXiv in September 2014 —

Saniga's reference [6] is to a paper submitted to the arXiv in May 2014. 

My own note of April 30, 2013, concludes with an historical reference
that indicates the mathematics underlying both my own and Saniga's
remarks —

The exercises at the end of Ch. II in Veblen and Young's 
Projective Geometry, Vol. I  (Ginn, 1910). For instance:

A Feb. 12 note in the "talk" section of the Wikipedia article
"Kirkman's schoolgirl problem" —

The illustration above was replaced by a new section in the article,
titled "Galois geometry."

The new section improves the article by giving it greater depth.  
For related material, see Conwell Heptads in this journal
(or, more generally, Conwell) and a 1985 note citing Conwell's work.

Space —

Space structure —

From Gotay and Isenberg, “The Symplectization of Science,”
Gazette des Mathématiciens  54, 59-79 (1992):

“… what is the origin of the unusual name ‘symplectic’? ….
Its mathematical usage is due to Hermann Weyl who,
in an effort to avoid a certain semantic confusion, renamed
the then obscure ‘line complex group’ the ‘symplectic group.’
… the adjective ‘symplectic’ means ‘plaited together’ or ‘woven.’
This is wonderfully apt….”

The above symplectic  figure appears in remarks on
the diamond-theorem correlation in the webpage
Rosenhain and Göpel Tetrads in PG(3,2).

Space shuttle —

Related ethnic remarks —

… As opposed to Michael  Larsen —

Funny, you don't look  Danish.

For the late poet Thomas Lux ,
who reportedly died on February 5 
(See posts tagged Bewitchment) —

"A darker riddle with no answer looms . . . .
For those who linger on among the tombs"

— John Hollander, from a poem in A Draft of Light

Those who enjoy dark riddles with no answers
may search the Web for "Sefer Yetzirah" + Cube.

I prefer a purely mathematical approach to the cube.

On the triangle in the excerpt above —

"A golden triangle can be split into
a golden triangle and a golden gnomon.
The same is true for a golden gnomon.
A golden gnomon and a golden triangle
with their equal sides matching each other
in length are also referred to as the obtuse
and acute Robinson triangles.

These isosceles triangles can be used to
produce Penrose tilings."

— Adapted from Wikipedia (Wikipedia's word
"bisected" is replaced above by the word "split.")
 

The previous post dealt with women and lies.

Related material — Quilt Prize in this journal.

See also "Universal" in this  journal.

See Eightfold 1984 in this journal.

Related material —

"… the object sets up a kind of
 frame or space or field
 within which there can be epiphany."

"… Instead of an epiphany of being,
we have something like
an epiphany of interspaces."

— Charles Taylor, "Epiphanies of Modernism,"
Chapter 24 of Sources of the Self ,
Cambridge University Press, 1989

"Perhaps every science must start with metaphor
and end with algebra; and perhaps without the metaphor
there would never have been any algebra."

— Max Black, Models and Metaphors ,
Cornell University Press, Ithaca, NY, 1962

Epiphany 2017 —

Click to enlarge: