Log24

Thursday, January 23, 2020

Exploring Schoolgirl Space…

Filed under: General — Tags: , , , — m759 @ 11:59 pm

Continued .

"Old men ought to be explorers." — T. S. Eliot.

Rose the Hat in her younger days.

See as well Barsotti in this journal.

Saturday, September 21, 2019

Exploring Egypt: The Sequel to Exploring Schoolgirl Space*

Filed under: General — Tags: — m759 @ 9:02 am

     * See Schoolgirl Space in this journal.

Friday, September 13, 2019

Schoolgirl Space…

Filed under: General — Tags: , — m759 @ 4:56 am

According to Wikipedia

See also Schoolgirl Space in this journal.

Thursday, August 15, 2019

Schoolgirl Space — Tetrahedron or Square?

Filed under: General — Tags: , , — m759 @ 9:03 pm

The exercise in the previous post  was suggested by a passage
purporting to "use standard block design theory" that was written
by some anonymous author at Wikipedia on March 1, 2019:

Here "rm OR" apparently means "remove original research."

Before the March 1 revision . . .

The "original research" objected to and removed was the paragraph
beginning "To explain this further."  That paragraph was put into the
article earlier on Feb. 28 by yet another anonymous author (not  by me).

An account of my own (1976 and later) original research on this subject 
is pictured below, in a note from Feb. 20, 1986 —

'The relativity problem in finite geometry,' 1986

Saturday, August 10, 2019

Schoolgirl Space* Revisited:

Filed under: General — Tags: , , — m759 @ 10:51 pm

The Square "Inscape" Model of
the Generalized Quadrangle W(2)

Click image to enlarge.

* The title refers to the role of PG (3,2) in Kirkman's schoolgirl problem.
For some backstory, see my post Anticommuting Dirac Matrices as Skew Lines
and, more generally, posts tagged Dirac and Geometry.

Tuesday, July 16, 2019

Schoolgirl Space for Quantum Mystics

Filed under: General — Tags: , , — m759 @ 2:16 pm

From a post on St. Andrew's Day, 2017

See also "E-Numbers" and "E-Girls."

Schoolgirl Space Continues.

Filed under: General — Tags: , — m759 @ 10:59 am

Monday, July 15, 2019

Arche’s Schoolgirl Space

Filed under: General — Tags: — m759 @ 2:30 pm

  

From Dan Brown's novel Angels & Demons  (2000)—

IMAGE- Illuminati Diamond, pp. 359-360 in 'Angels & Demons,' Simon & Schuster Pocket Books 2005, 448 pages, ISBN 0743412397

Tuesday, July 9, 2019

Schoolgirl Space: 1984 Revisited

Filed under: General — Tags: , , , , — m759 @ 9:24 pm

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168

From "Tomorrowland" (2015) —

From John Baez (2018) —

See also this morning's post Perception of Space 
and yesterday's Exploring Schoolgirl Space.

Monday, July 8, 2019

Exploring Schoolgirl Space

See also "Quantum Tesseract Theorem" and "The Crosswicks Curse."

Wednesday, June 29, 2022

Mathematical Plays*

Filed under: General — Tags: — m759 @ 12:44 pm

A song whose melody was used in
Westworld, Season 4, Episode 1 —

"Singin' in the old bars
Swingin' with the old stars
Livin' for the fame

Kissin' in the blue dark
Playin' pool and wild darts
Video games"

Lana Del Rey

In memory of a video game executive 
who reportedly died on June 22, 2022

Schoolgirl Space.

* Adapted from a book  title.

Tuesday, May 5, 2020

Appeal

Filed under: General — m759 @ 2:19 pm

See as well Exploring Schoolgirl Space.

Monday, March 16, 2020

Mathematics and Narrative* Continues:

Filed under: General — Tags: — m759 @ 1:27 am

Expanding the Spielraum

Mathematics:  See Tetrahedron vs. Square in this journal
(Notes on two different models of schoolgirl space ).

Narrative:  Replacing the square  from the above posts by
a related cube 

… yields a merchandising inspiration

Dueling Holocrons: 

Jedi Cube vs. Sith Tetrahedron

.

* See also earlier posts on Mathematics and Narrative.

Wednesday, February 26, 2020

“Perfect”

Filed under: General — Tags: — m759 @ 9:59 pm

Usage example —

(Click to enlarge.)

See also the previous post as well as PG(3,2),
Schoolgirl Space, and Tetrahedron vs. Square.

Friday, November 22, 2019

The Virgin Field:

Filed under: General — Tags: — m759 @ 8:45 am

 Representing Schoolgirl Space

From a book reviewed in the April 1923 
Bulletin of the American Mathematical Society —

From a later book —

"Her wall is filled with pictures" — Chuck Berry

Friday, September 27, 2019

Algebra for Schoolgirls

Filed under: General — Tags: , , — m759 @ 8:37 am

The 15 points of the finite projective 3-space PG(3,2)
arranged in tetrahedral form:

The letter labels, but not the tetrahedral form,
are from The Axioms of Projective Geometry , by
Alfred North Whitehead (Cambridge U. Press, 1906).

The above space PG(3,2), because of its close association with
Kirkman's schoolgirl problem, might be called "schoolgirl space."

Screen Rant  on July 31, 2019:

A Google Search sidebar this morning:

Apocalypse Soon!

Wednesday, September 18, 2019

Powers of X

Filed under: General — Tags: , — m759 @ 11:45 am

Screen Rant  on July 31, 2019 —

The above space PG(3,2), because of its close association with
Kirkman's schoolgirl problem, might be called "schoolgirl space."

See as well a Log24 post from the above Screen Rant  date —

The Epstein Chronicles, or:  Z  is for Zorro .

Monday, August 19, 2019

A Couple of Tots

Filed under: General — Tags: , — m759 @ 10:15 pm

The title is from the post "Child's Play" of May 21, 2012 . . .

"It seems that only one course is open to the philosopher
who values knowledge and truth above all else. He must
refuse to accept from the champions of the forms the
doctrine that all reality is changeless [and exclusively
immaterial], and he must turn a deaf ear to the other party
who represent reality as everywhere changing [and as only
material]. Like a child begging for 'both', he must declare
that reality or the sum of things is both at once  [το όν τε και
το παν συναμφότερα] (Sophist  246a-249d)."

Related material —

"Schoolgirl Space: 1984 Revisited" (July 9, 2019) and
posts tagged Tetrahedron vs. Square.

Friday, August 16, 2019

Nocciolo

Filed under: General — Tags: , , , — m759 @ 10:45 am

(Continued)

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

A revision of the above diagram showing
the Galois-addition-table structure —

Related tables from August 10

See "Schoolgirl Space Revisited."

Sunday, August 11, 2019

The Culture Desk

Filed under: General — m759 @ 12:28 pm

American Songwriters (the Petrusich versions)

The New Yorker  Culture Desk online yesterday —

The New Yorker  Culture Desk onine July 16 —

Related aesthetic meditation from  this  journal on July 16

(From the post "Schoolgirl Space for Quantum Mystics")

Wednesday, July 31, 2019

The Epstein Chronicles, or:  Z is for Zorro

Filed under: General — Tags: , , , — m759 @ 8:54 pm

Zorro Ranch

The geometry of the 15 point-pairs in the previous post suggests a review:

From "Exploring Schoolgirl Space," July 8 —

The date  in the previous post — Oct. 9, 2018 — also suggests a review
of posts from that date now tagged Gen-Z:

Wednesday, July 10, 2019

Artifice* of Eternity …

Filed under: General — Tags: , , , — m759 @ 10:54 am

… and Schoolgirl Space

"This poem contrasts the prosaic and sensual world of the here and now
with the transcendent and timeless world of beauty in art, and the first line,
'That is no country for old men,' refers to an artless world of impermanence
and sensual pleasure."

— "Yeats' 'Sailing to Byzantium' and McCarthy's No Country for Old Men :
Art and Artifice in the New Novel,"
Steven Frye in The Cormac McCarthy Journal ,
Vol. 5, No. 1 (Spring 2005), pp. 14-20.

See also Schoolgirl Space in this  journal.

* See, for instance, Lewis Hyde on the word "artifice" and . . .

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