Saturday, February 16, 2019

Campaign Style

Filed under: General — m759 @ 8:49 PM

See also "Ready Player One" in this journal.

“Always with a little humor” — Dr. Yen Lo

Filed under: General — m759 @ 7:50 PM

Welcome to the Garden Club, Pilgrim


"Program or be programmed."

Bunker Bingo Continues.

Filed under: General — Tags: , — m759 @ 2:27 PM

From a post of October 16, 2017, "Halloween Meditation" —

Melancholy for Dürer

Filed under: General — Tags: — m759 @ 11:53 AM

The title refers to a 1514 engraving.

See also Angel Particle in this  journal.

Friday, February 15, 2019

The Gifts Reserved for Age

Filed under: General — m759 @ 3:30 PM

"But, as the passage now presents no hindrance
     To the spirit unappeased and peregrine
     Between two worlds become much like each other…."

T. S. Eliot, Four Quartets

Related obituary:


Related date:

"as of Feb. 6, 2019" (from a post at 12 AM ET Feb. 7) —

"There is  such a thing as a four-dimensional finite affine space."
— Saying adapted from a 1962 young-adult novel by Madeleine L'Engle

A Simple Interlacing

Filed under: General — m759 @ 1:07 PM

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 —

New Services

Filed under: General — m759 @ 10:41 AM

From today's online Boston Globe


See also Wechsler + Siri in this  journal and a post from
the date of Dr. Gunderson's death, January 11, 2019 —

Thursday, February 14, 2019


Filed under: General — m759 @ 10:16 AM

See D8ing in this journal.

Wednesday, February 13, 2019

April 18, 2003 (Good Friday), Continued

Filed under: General — m759 @ 11:03 AM

"The purpose of mathematics cannot be derived from an activity 
inferior to it but from a higher sphere of human activity, namely,

Igor Shafarevitch, 1973 remark published as above in 1982.


— Steven H. Cullinane, February 13, 2019

From Log24 on Good Friday, April 18, 2003

. . . What, indeed, is truth?  I doubt that the best answer can be learned from either the Communist sympathizers of MIT or the “Red Mass” leftists of Georgetown.  For a better starting point than either of these institutions, see my note of April 6, 2001, Wag the Dogma.

See, too, In Principio Erat Verbum , which notes that “numbers go to heaven who know no more of God on earth than, as it were, of sun in forest gloom.”

Since today is the anniversary of the death of MIT mathematics professor Gian-Carlo Rota, an example of “sun in forest gloom” seems the best answer to Pilate’s question on this holy day.  See

The Shining of May 29.

“Examples are the stained glass windows
of knowledge.” — Vladimir Nabokov


Motto of Plato’s Academy

 The Exorcist, 1973

Detail from an image linked to in the above footnote —

"And the darkness comprehended it not."

Id est :

A Good Friday, 2003, article by 
a student of Shafarevitch

" there are 25 planes in W . . . . Of course,
replacing {a,b,c} by the complementary set
does not change the plane. . . ."

Of course.

See. however, Six-Set Geometry in this  journal.

Tuesday, February 12, 2019

A Long Time

Filed under: General — Tags: , — m759 @ 2:01 PM

This  journal on the above date, October 17, 2008

“Every musician wants to do something of lasting quality,
something which will hold up for a long time, and
I guess we did it with ‘Stairway.'”

— Jimmy Page on “Stairway to Heaven

Scholium —

"Kummer " in German means "sorrow."

Related material —

Other posts now tagged Dolmen.

A Dolmen for Ungerer

Filed under: General — Tags: — m759 @ 12:26 PM

See also The Dolmen of the Sorrows (atlasobscura.com) —

Monday, February 11, 2019

Better Call Saul

Filed under: General — m759 @ 10:36 AM

"Christmas in February!" — SNL cold open, Feb. 9

Detail, online New York Times  front page,
Saint Bridget's Day (Feb. 1), 2013 —

IMAGE- NY Times market quotes, American Express Gold Card ad, Kevin Spacey in 'House of Cards' ad

See also Nietzsche and modal logic.

Sunday, February 10, 2019

Cold Open

Filed under: General — m759 @ 12:25 PM

The previous post, on the Bauhaus 100th anniversary, suggests a review . . .

"Congratulations to the leaders of both parties:
The past 20 years you’ve taken us far.
We’re entering Weimar, baby."

Peggy Noonan in The Wall Street Journal
   on August 13, 2015

Image from yesterday's Log24 search Bauhaus Space.

Saturday, February 9, 2019


Filed under: General — m759 @ 4:48 PM

See also posts in the Log24 search Bauhaus Space.


Filed under: General — Tags: — m759 @ 9:00 AM

In memory of Albert Finney's role as an architect
in "Two for the Road," see Lintel in this journal.

Related material:  Finney in "The Green Man" and
RIP: The Peace of Pi.

Friday, February 8, 2019

RIP Albert Finney

Filed under: General — m759 @ 10:15 AM

Thursday, February 7, 2019

Geometry of the 4×4 Square: The Kummer Configuration

Filed under: General — Tags: , — m759 @ 12:00 AM

From the series of posts tagged Kummerhenge

A Wikipedia article relating the above 4×4 square to the work of Kummer —

A somewhat more interesting aspect of the geometry of the 4×4 square
is its relationship to the 4×6 grid underlying the Miracle Octad Generator
(MOG) of R. T. Curtis.  Hudson's 1905 classic Kummer's Quartic Surface
deals with the Kummer properties above and also foreshadows, without
explicitly describing, the finite-geometry properties of the 4×4 square as
a finite affine 4-space — properties that are of use in studying the Mathieu
group M24  with the aid of the MOG.

Saturday, January 26, 2019

In Memory of a Composer

Filed under: General — Tags: — m759 @ 11:00 AM

who reportedly died early today in Paris, a tribute from
those who wrote the English lyrics for "Windmills of Your Mind" —

Legrand tribute related to 'Eddington Song'


Filed under: General — Tags: , — m759 @ 5:13 AM

'Josefine Lyche,' 'Interlock, Interlac, Interweave'

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.

Friday, January 25, 2019

Design Theory

Filed under: General — Tags: — m759 @ 11:00 PM

Last night's post "Night at the Social Media" suggests . . .

A 404 for Katherine Neville (born on 4/04) —

Crucible Raiders Continues.

Filed under: General — Tags: — m759 @ 12:00 AM

Fans of the New York Times  philosophy series "The Stone"
(named for the legendary philosophers' stone) may consult 
posts tagged "Crucible Raiders" in this journal.

Some context — the previous post, "Night at the Social Media."

Thursday, January 24, 2019

Night at the Social Media

Filed under: General — Tags: — m759 @ 11:40 PM

See also Katherine Neville,  Karl Pribram, and Cooper Hewitt in this journal.

“The Stone” Contributor Dies

Filed under: General — Tags: — m759 @ 3:00 AM

"He was a regular contributor to the New York Times 
philosophical forum, The Stone." — South Bend Tribune

See also Gutting in this  journal.

Name Space

Filed under: General,Geometry — Tags: — m759 @ 1:10 AM

A correction at Wikipedia  (Click to enlarge.) —

That this correction is needed indicates that the phrase 
"Cullinane space" might be useful. (Click to enlarge.)

On a 16-point space with some remarkable properties

Wednesday, January 23, 2019


Filed under: General,Geometry — Tags: — m759 @ 10:00 AM

For those who prefer more elaborate decorations —

1.  A Facebook image from last August … 

2.  The Facebook glider suggests a tune from "The Thomas Crown Affair"
     (1968) that appeared in a Dec. 16, 2018 post on Christianity and
     "interlocking names"—

'The Eddington Song'

The revised lyrics describe a square space.

3.  An even more  elaborate square space:
     the Dance of the Snowflakes from
     Balanchine's version of The Nutcracker —

But Seriously . . .

Filed under: General — m759 @ 1:12 AM

The previous post suggests a review.

Two images in memory of a journalist —

Illustration from a post on Monday, Jan. 21, 2019 (color inverted):

In Memoriam

Filed under: General — m759 @ 12:22 AM

See also Russell Baker in this journal.

Tuesday, January 22, 2019

Iconic Remotivation

Filed under: General — m759 @ 12:45 PM

From an obituary in yesterday's online  New York Times —

Photo credit: Gabriella Angotti-Jones/The New York Times

This  journal in the time frame of events leading to the obituary —

On "Wakean Cryptogenetics" —

" Joyce now disposes of a complex machine thanks to which
any linguistic item culled when reading a book, a magazine,
overhearing a conversation, meditating upon a dream, can find
an actor who will underwrite it . . . ."

— P. 81 in Joyce upon the Void  by Jean-Michel Rabaté,
Palgrave-Macmillan, 1991.

An Actor —


Filed under: General — Tags: — m759 @ 1:21 AM

See other posts now tagged Namespace.

Monday, January 21, 2019

Fall, 1939

Filed under: General — Tags: , — m759 @ 8:48 AM

She'll always have Paris.

Meditation for the Champ de Mors

Filed under: General — Tags: — m759 @ 12:00 AM

"his onesidemissing for an allblind alley
leading to an Irish plot in the Champ de Mors"
— James Joyce, Finnegans Wake

Sunday, January 20, 2019

Scope Resolution

Filed under: General — Tags: , — m759 @ 9:00 AM

Wikipedia on a programming term

The scope resolution operator helps to identify
and specify the context to which an identifier refers,
particularly by specifying a namespace. The specific
uses vary across different programming languages
with the notions of scoping.  In many languages
the scope resolution operator is written


In a completely different context, these four dots might represent
a geometric object  — the four-point plane .

Saturday, January 19, 2019

Spinning the Wake

Filed under: General — Tags: — m759 @ 11:32 PM

Friday, January 18, 2019

Location, Location, Location

Filed under: General — Tags: — m759 @ 9:01 PM

See also, from a post of November 1, 2018

The Woke Grids …

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

… as opposed to The Dreaming Jewels .

A July 2014 Amsterdam master's thesis on the Golay code
and Mathieu group —

"The properties of G24 and M24 are visualized by
four geometric objects:  the icosahedron, dodecahedron,
dodecadodecahedron, and the cubicuboctahedron."

Some "geometric objects"  — rectangular, square, and cubic arrays —
are even more fundamental than the above polyhedra.

A related image from a post of Dec. 1, 2018

Thursday, January 17, 2019

The Dreaming Jewels’ Nightmares

Filed under: General — Tags: — m759 @ 11:00 PM

Some Log24 posts related to Theodore Sturgeon's 1950 tale
of The Dreaming Jewels  have been tagged with that title.

For a purely mathematical approach to Sturgeon's concept see . . .

July 6, 2014, Amsterdam master's thesis on geometric models of the Golay code and Mathieu group

For some related nightmares, see July 2014 in this journal.

Wednesday, January 16, 2019

Her Work

Filed under: General — m759 @ 11:35 PM

From the above L.A. Times  article

Where then does the morbid negativity in her work come from?

"Oh boy! That's an even bigger mystery," Andres says, laughing. "You see, I don't like talking about this stuff, because it has to do with psychic phenomena and stuff going on inside me I don't necessarily understand or want to understand. But the truth is that there is some pretty dark and scary content in the work, an acceptance of dark energies which exist whether we like it or not.

"I am mostly interested in getting at a place, a mental reality, that the day-to-day human body couldn't express: a half-way place between film and the body that points to a strange, unexplainable way of seeing stuff, of feeling stuff, of knowing stuff, of being completely different."

The New York Times  this evening reports that Andres died on Jan. 6.

Permutahedron Dream

Filed under: General — Tags: , — m759 @ 3:21 PM

The geometric object of the title appears in a post mentioning Bourgain 
in this journal.  Bourgain appears also in today's online New York Times —


Bourgain reportedly died on December 22.

An image from this journal on that date

Related poetic meditations —

IMAGE- Herbert John Ryser, 'Combinatorial Mathematics' (1963), page 1

The Dreaming Polyhedron

Filed under: General — Tags: , — m759 @ 5:32 AM

"Here is a recipe for preparing a copy of the Mathieu group M24.
The main ingredient is a genus-3 regular polyhedron X
with 56 triangular faces, 84 edges, and 24 vertices.
The most delicate part of this recipe is to hold the polyhedron
by the 24 vertices and immerse the rest of it in 3-dimensional space."

— "How to Make the Mathieu Group M24 ," undated webpage
by David A. Richter, Western Michigan University

Illustration from that page —

Illustration from a webpage by David A. Richter, Western Michigan University

"Another model of the (universal cover of the) polyhedron X"

Related fiction —

Cover of a 1971 British paperback edition of The Dreaming Jewels,  
a story by Theodore Sturgeon (first version published in 1950):

Discuss Richter's model and the Sturgeon tale 
in the context of posts tagged Aitchison.

Tuesday, January 15, 2019

Talladega Craftsman

Filed under: General — m759 @ 8:12 PM


Paragraph 13

Filed under: General — m759 @ 1:37 PM

Related material —

The recent post "For Captain Midnight and the Whole Sick Crew"
and an illustration from the Log24 link in yesterday's post "Searching" —


Filed under: General — Tags: — m759 @ 10:26 AM

Click to enlarge

Results of a 15 Jan. 2019 search for Aitchison + 'Mathieu group'

Monday, January 14, 2019


Filed under: General — m759 @ 6:48 PM

Related material — "Everybody comes to Rick's."

For the Hero of Midnight

Filed under: General — m759 @ 12:00 AM

A long link —


Sunday, January 13, 2019

Sunday the Thirteenth (Revisited)

Filed under: General — Tags: — m759 @ 10:00 PM

IMAGE- Redefining the cube's symmetry planes: 13 planes, not 9.

For some context, see "A Riddle for Davos."

Eleven’s Rosebud

Filed under: General — m759 @ 4:16 PM

The previous post suggests a review.

On December 11 (click to enlarge) —

Related image from this  journal on December 11 ("Carried Away") —

The new American Mathematical Society logo suggests 
the Jamaican Bobsled Team:

Into the Upside Down

Filed under: General — m759 @ 3:09 PM

Images from today's 3:17 AM search for Clifford

See as well some snow news from Europe.

The Clifford Narrative

Filed under: General — Tags: — m759 @ 3:17 AM

See also Clifford in this  journal, in particular 
The Matrix for Quantum Mystics 
(Log24, St. Andrew's Day, 2017).

Saturday, January 12, 2019

The Spinning

Filed under: General — Tags: — m759 @ 11:17 AM


See also Atiyah and Shaw.


Friday, January 11, 2019

Permutations at Oslo

Filed under: General — Tags: , — m759 @ 8:45 PM

Webpage at Oslo of Josefine Lyche, 'Plato's Diamond'

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).


Atiyah at Oslo

Filed under: General — Tags: — m759 @ 6:55 PM

Photo caption for the obituary below —

"Michael Atiyah, center, and Isadore M. Singer receive the Abel Award
from Norway’s King Harald in Oslo in 2004…"  Credit: Knut Falch,
SCANPIX/Associated Press

Thursday, January 10, 2019

Archimedes at Hiroshima

Filed under: General,Geometry — Tags: , , — m759 @ 7:35 PM

Two examples from the Wikipedia article  "Archimedean solid" —

Iain Aitchison said in a talk last year at Hiroshima that
the Mathieu group M24  can be represented as permuting
naturally the 24 edges  of the cuboctahedron.

The 24 vertices  of the truncated  octahedron are labeled 
naturally by the 24 elements of S4  in a permutahedron

Can M24  be represented as permuting naturally
the 24 vertices  of the truncated octahedron?


Reality at Virginia Tech:

Filed under: General — Tags: — m759 @ 6:40 PM

The Takeuchi Question —

From remarks at Miami last December:

A similiar question about the Fano plane —

Can we make the model more "real"?

From remarks here last November:

Toy Story Continues.

Filed under: General — Tags: — m759 @ 11:13 AM

Takeuchi, Miami 2018- Spekkens's Toy Model and Vector Spaces over Galois Fields

See also Spekkens in this  journal.

For Captain Midnight* and the Whole Sick Crew

Filed under: General — m759 @ 12:00 AM

* See the film discussed in the previous post:

Captain Midnight goggles and decoder ring in Ovaltine, from 'The House with a CLock in Its Walls'

Wednesday, January 9, 2019

Valid States of Maximal Knowledge

Filed under: General — Tags: — m759 @ 9:30 PM

"Few scripts would have the audacity
to have the deus ex machina be
Captain Midnight  decoder ring."

Review of "The House with
a Clock in Its Walls" (2018 film) 

Related mathematics (click to enlarge) . . .

The "uwa.edu.au" above is for the University of Western Australia.
See the black swan in its coat of arms (and in the above film).

Desperately Seeking Clarity*

Filed under: General — Tags: , — m759 @ 2:10 PM

A much earlier, much truer, obituary —

* A sequel to Resonant Clarity and Desperately Seeking Resonance.

  Quantum electrodynamics  is also known as QED.

Tuesday, January 8, 2019

For the Church of Synchronology*

Filed under: General — m759 @ 8:47 PM

* See Synchronology and the previous post.

Lost in Translation

Filed under: General — Tags: — m759 @ 8:04 PM

"The field of quantum optics  was essentially born
with the development of quantum theories of optical coherence
and of the states of the radiation field by Glauber… in 1963."

— Rodney Loudon, The Quantum Theory of Light ,
Third Edition, Oxford University Press, 23 November 2000

The New York Times  on a December 26 death —

Hebrew, Aramaic, whatever.

Desperately Seeking Resonance

Filed under: General — Tags: , — m759 @ 10:00 AM

'Limbic Resonance'- First episode of 'Sense8.'

"Eight strangers from cities around the globe
begin having experiences that defy explanation."

As do "Burnt Norton" and "Bird Box."

Monday, January 7, 2019

Resonant Clarity

Filed under: General — Tags: , — m759 @ 11:00 AM

Abstract for a talk at the City University of New York:

The Experience of Meaning 
Jan Zwicky, University of Victoria 
09:00-09:40 Friday, April 5, 2013

Once the question of truth is settled, and often prior to it, what we value in a mathematical proof or conjecture is what we value in a work of lyric art: potency of meaning. An absence of clutter is a feature of such artifacts: they possess a resonant clarity that allows their meaning to break on our inner eye like light. But this absence of clutter is not tantamount to 'being simple': consider Eliot's Four Quartets  or Mozart's late symphonies. Some truths are complex, and they are simplified  at the cost of distortion, at the cost of ceasing to be  truths. Nonetheless, it's often possible to express a complex truth in a way that precipitates a powerful experience of meaning. It is that experience we seek — not simplicity per se , but the flash of insight, the sense we've seen into the heart of things. I'll first try to say something about what is involved in such recognitions; and then something about why an absence of clutter matters to them.

For some context, see posts tagged Artifacts.

Sunday, January 6, 2019

The Roethke Quote (For Harlan Kane)

Filed under: General — m759 @ 11:56 PM

Hat tip to Benjamin Markovits 

for a quote from Roethke

“Ah, when she moved, she moved more ways than one:
The shapes a bright container can contain!”

At the Still Point . . .

Filed under: General — m759 @ 11:08 PM

For Richard Marks, a film editor who reportedly died unexpectedly
at 75 in New York City on New Year's Eve —

Click to enlarge the inset.

For Broom Bridge*

Filed under: General,Geometry — Tags: — m759 @ 11:00 AM

GL(2,3) is not unrelated to GL(3,2).

See Quaternion Automorphisms 
and Spinning in Infinity.

* See Wikipedia.

Saturday, January 5, 2019

A Formal Pattern

Filed under: General — m759 @ 6:28 PM

See also the Thurston link in the previous post.

Cornell Geometry

Filed under: General — m759 @ 12:43 PM

See Thurston + Cornell and Henderson + Cornell.

This post was suggested by the latter.

Raiders of the Inarticulate

Filed under: General — m759 @ 11:11 AM

Friday, January 4, 2019

Eliot’s Wake

Filed under: General — Tags: — m759 @ 11:35 PM

Scholium —

Philosophy in a New Tree

Filed under: General — m759 @ 5:36 PM

See also http://m759.net/wordpress/?s=Cleft .

Thursday, January 3, 2019

On St. Stephen’s Day 2018…

Filed under: General — Tags: — m759 @ 12:21 PM

Wednesday, January 2, 2019

Wolf as Lamb

Filed under: General,Geometry — Tags: — m759 @ 10:30 PM

The above graphic design is by Noma Bar.

See as well the lamb-in-triangle of the Dec. 27 post
A Candle for Lily

Related material —

Remarks by Evelyn  Lamb on the Deathly Hallows symbol.

“Pleasantly Discursive” Continues.

Filed under: General — m759 @ 12:21 PM

From this journal on December 13th, 2016

" There is a pleasantly discursive treatment 
of Pontius Pilate’s unanswered question
‘What is truth?’ "

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

Also on December 13th, 2016 —

Tuesday, January 1, 2019

Child’s Play Continues — La Despedida

Filed under: General — m759 @ 1:03 PM

This post was suggested by the phrase "Froebel Decade" from
the search results below.

This journal a decade ago had a post on the late Donald Westlake,
an author who reportedly died of a heart attack in Mexico on Dec. 31,
2008, while on his way to a New Year's Eve dinner.

One of Westlake's books —

Related material —

"La Despedida " and "Finality indeed, and cleavage!"

The Magnificent Seven

Filed under: General — Tags: — m759 @ 12:00 AM

Brief introduction to the 'Symmetric Generation' of R. T. Curtis

Monday, December 31, 2018

Eve’s Riddle

Filed under: General — m759 @ 12:00 PM

The Dickinson poem quoted above is numbered 373 at 
the Poetry Foundation.

See also Eternity + 373 in this  journal.

Sunday, December 30, 2018

Mechanical Parable

Filed under: General — m759 @ 3:59 PM

Raiders of the Lost Crucible and Bee Season continue 

"Walter Kerr, in his 1953 review in the New York Herald Tribune ,
wrote, 'The Crucible , which opened at the Martin Beck Thursday,
…seems to me to be taking a step backward into mechanical parable,
into the sort of play which lives not in the warmth of humbly observed
souls but in the ideological heat of polemic.' For Kerr, Miller’s play is
an analytical argument, a treatise, rather than a heartfelt play about
human lives."

— http://www.americanpopularculture.com/

A more heartfelt approach —

" … this beautiful love story . . . ."

Also Sprach Aitchison

Filed under: General — Tags: — m759 @ 2:48 PM

The New Yorker  reviewing "Bumblebee"

"There is one reliable source for superhero sublimity,
and it’s all the more surprising that it’s a franchise with
no sacred inspiration whatsoever but, rather, of purely
and unabashedly mercantile origins: the 'Transformers'
series, based on a set of toys, in which Michael Bay’s
exhilarating filmmaking offers phantasmagorical textures
of an uncanny unconscious resonance."

— Richard Brody on December 29, 2018

"Before time began, there was the Cube."

— Optimus Prime

Iain Aitchison on symmetric generation of M24

Some backstory — A Riddle for Davos,  Jan. 22, 2014.

Meanwhile, in a different New Yorker department…

Filed under: General — m759 @ 4:00 AM

From Annals of Technology

Saturday, December 29, 2018

Annals of Style: Perfecting the New Yorker Sneer

Filed under: General — m759 @ 9:38 PM

See also the Verwandlungslehre  link from the previous post
and The Hassenfeld Legacy (for Harlan Kane).

To the Lighthouse

Filed under: General — m759 @ 7:30 PM

The release date of "Annihilation" was February 23, 2018.
See also "Snow Games" in this  journal on that date
and, more generally, posts tagged Verwandlungslehre .

Winter Tree

Filed under: General — m759 @ 1:05 PM

The title is that of a 1977 poem by Jon Lang.

A different sort of narrative tree, from The Onion  on the
date Friday, July 1, 2016, was illustrated in the previous post.

Material from this  journal related to July 1, 2016,
and the following day, a Saturday, is now tagged
"Saturday Night in the Labyrinth."

"A Damned Serious Business." — Rex Harrison on comedy

Friday, December 28, 2018

Phenomenology of Viewing

Filed under: General — Tags: — m759 @ 11:58 PM

From a post of December 22, 2018

See as well related posts now tagged Blackline.

Love and Darkness

Filed under: General — Tags: — m759 @ 5:29 PM

Blackline Master

Filed under: General — Tags: — m759 @ 3:00 PM

From a Log24 post of September 4, 2018, "Identity Crisis" —


From the 2011 Spanish film "Verbo" — (Click to enlarge) —

From a  Blackline Master

Thursday, December 27, 2018

A Candle for Lily

Filed under: General — Tags: — m759 @ 12:00 AM

Detail —

See also . . . http://m759.net/wordpress/?s=Alpha+Omega .

Wednesday, December 26, 2018

Mathematical Labyrinth

Filed under: General — m759 @ 11:20 PM

Princeton mathematician Elias Stein died Dec. 23, 2018, at 87.

See as well Stein in posts tagged Narrative Labyrinth.

Dies Natalis

Filed under: General — m759 @ 1:40 PM

'Sister Wendy's Story of Painting,' Dorling Kindersley Publishers Ltd., 1994

Today is reportedly the dies natalis  of the above author.


Tuesday, December 25, 2018


Filed under: General — m759 @ 11:42 AM

"So to obtain the isomorphism from L2(7) onto L3(2) we simply
multiply any given permutation of L2(7) by the affine translation
that restores to its rightful place."

— Sphere Packings, Lattices and Groups ,
by John H. Conway and N. J. A. Sloane.
First edition, 1988, published by Springer-Verlag New York, Inc.
Chapter 11 (by J. H. Conway), "The Golay Codes and the Mathieu Groups," 
Section 12, "The trio group 26:(S3×L2(7))"

Compare and contrast —

Why PSL(2,7) is isomorphic to GL(3.2)

This post was suggested by a New York Times  headline today —

Sunday, December 23, 2018


Filed under: General — m759 @ 8:40 PM

An exercise in bulk apperception.

IMAGE- Herbert John Ryser, 'Combinatorial Mathematics' (1963), page 1

Winter Fire

Filed under: General — Tags: — m759 @ 11:14 AM

From the previous post

Cover of April 1977 Poetry magazine by Paul Hoffman

From December 27, 2017

Also from December 27, 2017 —

Saturday, December 22, 2018

The Hat Tip

Filed under: General — Tags: , — m759 @ 9:59 PM

"Form the turtle!"
— Rex Harrison, quoted here
on March 12, 2005.

“It’s a war every day.”

Filed under: General — m759 @ 2:41 PM

The title is from a New York Times  story  online this afternoon.

A recent pop-culture use of the word "war" —

The six "infinity stones" sought in the above war
suggest a review of the "six points of general position
in real projective 4-space" mentioned in today's earlier
post "Cremona-Richmond."  See as well Ron Shaw
in that post and in the infinity-related book below —

British Pottery

Filed under: General — m759 @ 1:28 PM

An introduction to the previous post, "Cremona-Richmond" —

Ron Shaw in 'The Infinity Puzzle'


Filed under: General,Geometry — Tags: — m759 @ 12:34 PM

The following are some notes on the history of Clifford algebras
and finite geometry suggested by the "Clifford Modules" link in a
Log24 post of March 12, 2005

A more recent appearance of the configuration —

Friday, December 21, 2018

Crisis Focus

Filed under: General — Tags: — m759 @ 10:31 AM

"Crisis" and  "focus," two words prominent in recent Log24 posts,
recur in a New York Times  story this morning —

Thursday, December 20, 2018


Filed under: General — Tags: , — m759 @ 8:12 PM

Some images suggested by the previous post and by the date
of the documentary below — March 12, 2005 —

See also Slow Art.


Filed under: General — m759 @ 12:10 PM

Office scene from "Spotlight," a 2015 film about The Boston Globe.

The "Spotlight" office picture is apparently this image of
Mount Illimani and La Paz, Bolivia, from dreamstime.com

Wednesday, December 19, 2018


Filed under: General — Tags: , — m759 @ 10:56 AM


Related material —

Some backstory —

Freeman Dyson on ruthlessness and


Filed under: General — m759 @ 5:01 AM

Update of 9:45 AM ET Dec. 19, 2018 —

Tuesday, December 18, 2018


Filed under: General — m759 @ 10:16 PM


Filed under: General — m759 @ 8:01 PM

The title abbreviates* that of a collection of Wittgenstein's remarks:

Ludwig Wittgenstein — Culture and Value 
Revised Edition, Wiley-Blackwell (1998)

Showing 20 results for spirit

page 18, rubble & finally a heap of ashes; but spirits will hover over the ashes. MS 107 229:

page 18, Page 5 Only something supernatural can expre

page 20, contemplating it from above in its†c flight.†

page 21, spirit in which it is written.†f This spirit is, I believe, different from that of t

page 21, and American civilization. The spirit of this civilization the expression of

page 21, day†h fascism & socialism, is a spirit that is alien & uncongenial†i to the au

page 21, he Page Break 9 can work in the spirit of the whole, and his strength can with

page 21, straight for what is concrete. Which is chara

page 22, danger in a long foreword is that the spirit of a book has to be evident in the book

page 22, It is all one to me whether the typical weste

page 23, a great temptation to want to make the spirit explicit. MS 109 204: 6-7.11.1930 Page

page 23, readers that will be clear just from the fact

page 28, Foggy day. Grey autumn haunts us. Laughter se

page 42, If one wanted to characterize the essence of

page 51, attention from what matters.) The Spirit puts what is essential, essential for y

page 51, how far all this is exactly in the spirit of Kierkegaard.) MS 119 151: 22.10.1937

page 51, something feminine about this outlook?) MS 11

page 100, comfortable, clearer expression, but cannot b

page 106, act otherwise."–Perhaps, though, one might s

page 210, Page 7 †b function Page 7 †c from its Page


The above "spirit guide" was suggested by yesterday's post
on Knuth as Yoda and by the paper in today's previous post, 
"Shadowhunter Tales."

This  post's title, "CV," is from . . .

Shadowhunter Tales

Filed under: General — Tags: — m759 @ 12:59 PM

The recent post "Tales from Story Space," about the 18th birthday
of the protagonist in the TV series "Shadowhunters" (2016-),
suggests a review of the actual  18th birthday of actress Lily Collins.

Collins is shown below warding off evil with a magical rune as
a shadowhunter in the 2013 film "City of Bones" —

She turned 18 on March 18, 2007.  A paper on symmetry and logic
referenced here on that date displays the following "runes" of 
philosopher Charles Sanders Peirce

See also Adamantine Meditation  (Log24, Oct. 3, 2018)
and the webpage Geometry of the I Ching.

Monday, December 17, 2018

The Cleft*

Filed under: General — m759 @ 10:31 PM

From this  journal on October 18, 2018

"Show all" — Yes!

*Update to the above post from the morning after:

The title uses "cleft" rather than Gaitskill's term for the 
pictured bifurcation, "crotch." This is in part because
the former yielded search results in this journal, while
the latter did not.

Dick and Yoda

Filed under: General — Tags: — m759 @ 3:19 PM

The New York Times  this afternoon —

“What do we believe in?” Dick asks his Yoda
at one point, provoking a gale of laughter in response. 

A. O. Scott reviewing "Vice"

See as well Log24 on April 1, 2017


Tales from Story Space

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

"Kiernan Brennan Shipka  (born November 10, 1999)
is an American actress. She is best known for starring as 
Sabrina Spellman on the Netflix supernatural horror series 
Chilling Adventures of Sabrina  (2018–present)." — Wikipedia

As noted here earlier, Shipka turned 18 on Nov. 10 last year.

From Log24 on that date

Another 18th birthday in Story Space


Filed under: General — Tags: — m759 @ 12:58 PM

The diamond signs of Donald Knuth

“When there’s nothing to believe in 
Still you’re coming back,
you’re running back 
You’re coming back for more
So put me on a highway….”
— Eagles, 1975  

See also …

See as well Knuth in this  journal.

"Spirit-guide of the algorithmic realm"
— Description of Donald Knuth by Siobhan Roberts, Dec. 17, 2018.

There are spirit guides and spirit  guides.

"One of These Nights  is the fourth studio album
by the Eagles, released in 1975." — Wikipedia

Sunday, December 16, 2018


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


'The Eddington Song'

Inaction Illustrated

Filed under: General — m759 @ 12:06 PM

See "Inaction Film," a Log24 post of August 21, 2012 —
the date of death for one William P. Thurston.

Sunday School News

Filed under: General — Tags: — m759 @ 9:41 AM

Promotional news from Google: Bullock's Bird Box.

See as well Friday night's post "Lone Star Wars."

Saturday, December 15, 2018

Bee Season continues.

Filed under: General — m759 @ 3:30 PM

" … this beautiful love story . . . ."

See as well Bee Season in this  journal.


Filed under: General — m759 @ 2:23 PM

"When you cast a spell . . . ."

See Lily Collins in The Telegraph  today.  A related tale —

"On August 30, 2017, Lily Collins was cast … as Edith Tolkien,
love and later wife of Tolkien, who was also the inspiration of
the princess characters in The Lord of the Rings ."


The Log24  posts of August 30, 2017, are now tagged Verbum 2017.

A Very Belated Happy Birthday…

Filed under: General — m759 @ 12:00 AM

To Chloë Grace Moretz ("Brain on Fire" (US release June 22, 2018),
and "Clouds of Sils Maria" (2014-15 in various film festivals)).

From a post of Feb. 10, 2018, when Moretz turned 21 —

Friday, December 14, 2018

Lone Star Wars

Filed under: General — m759 @ 10:46 PM

   "Learn more."

  — University of Texas at Austin

Starbird Variations

Filed under: General — m759 @ 4:56 PM

The reference in the previous post's image to "Starbird No. 2,"
the single on the flip side of Manfred Mann's 1976 version of
"Blinded by the Light," suggests a review —

A professor named Starbird

From the above YouTube date,
a bird of a different color

The Blinded Ear

Filed under: General — m759 @ 1:00 PM

The Aug. 6, 1976, single of 
Manfred Mann's Earth Band version of
Springsteen's 1972 "Blinded by the Light"—

See also two posts of Oct. 29, 2015.

Small Space Odyssey

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 11:00 AM

References in recent posts to physical space and 
to mathematical space suggest a comparison.

Physical space is well known, at least in the world
of mass entertainment.

Mathematical space, such as the 12-dimensional
finite space of the Golay code, is less well known.

A figure from each space —

The source of the Conway-Sloane brick —

Quote from a mathematics writer —

“Looking carefully at Golay’s code is like staring into the sun.”

— Richard Evan Schwartz

The former practice yields reflections like those of Conway and Sloane.
The latter practice is not recommended.

Thursday, December 13, 2018

Big Space Odyssey

Filed under: General — m759 @ 9:09 PM

From The New York Times  this evening —

For a small  space odyssey, see this  journal's Sunday posts.

Dirty Deeds

Filed under: General — m759 @ 1:00 PM

The title was suggested by headlines in today's news
and by the classic film "Dirty Computer."

"It's been dirty for dirty
Down the line . . ."

— Joni Mitchell,
"For the Roses" album (1972)

Space Art

Filed under: General — m759 @ 12:15 PM

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.

Wednesday, December 12, 2018

Kummerhenge Continues.

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 7:24 PM

Those pleased by what Ross Douthat today called
"The Return of Paganism" are free to devise rituals
involving what might be called "the sacred geometry
of the Kummer 166  configuration."

As noted previously in this journal, 

"The hint half guessed, the gift half understood, is Incarnation."

— T. S. Eliot in Four Quartets

Geometric incarnation and the Kummer configuration

See also earlier posts also tagged "Kummerhenge" and 
another property of the remarkable Kummer 166 

The Kummer 16_6 Configuration and the Nordstrom-Robinson Code

For some related literary remarks, see "Transposed" in  this journal.

Some background from 2001 —

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