Tuesday, March 31, 2020

Imperial Requiem

Filed under: General — Tags: — m759 @ 9:47 AM

See as well Time Enough for Countin’.

The Screwtape Bishop

Filed under: General — Tags: , — m759 @ 8:30 AM

Patrick Joseph McKinney is the 10th Bishop of Nottingham.
His appointment was announced on 14 May 2015 by Pope Francis.”

Related material from this  journal on the date the Pope
appointed the Screwtape Bishop

Obit et Orbit  continues.

Monday, March 30, 2020

More Academic Ugliness

Filed under: General — Tags: — m759 @ 6:13 PM

The Boston Globe  on the dead architect of the previous post

"Mr. McKinnell, who was a fellow of the American Institute of Architects
and the American Academy of Arts and Sciences, and a member of the
Royal Institute of British Architects, taught for many years at the
Harvard Graduate School of Design and the Massachusetts Institute of
Technology School of Architecture and Planning."

Some ugly rhetoric to go with the ugly architecture —

Annals of Ugly Design

Filed under: General — Tags: — m759 @ 5:33 PM

The Boston Globe  Saturday on Friday's death of one of
the two architects of Boston City Hall

A gifted storyteller, Mr. McKinnell liked to recount
the response of renowned architect Philip Johnson to
City Hall. “ ‘Absolutely marvelous. … I think it’s wonderful.
… And it’s so ugly!’ ” Mr. McKinnell told Pasnik, adding:
“We thought that was the greatest praise we could get.”

See more ugliness from this  journal on Friday

See also this journal on the death of the other  City Hall architect.

Sunday, March 29, 2020

Metatextuality at Yale

Filed under: General — Tags: — m759 @ 5:37 PM

See also this  journal on the date — February 19, 2009
of the above Ibsen opening, as well as today’s previous post.

Plan 9 from Yale

Filed under: General — Tags: — m759 @ 3:48 PM

“Play ‘Stella by Starlight’ for Lady Macbeth” — Bob Dylan

Shining Exorcist Composer

Filed under: General — m759 @ 8:39 AM


Filed under: General — m759 @ 7:13 AM

But seriously . . . (Click Yom Kippur for related posts.)

Saturday, March 28, 2020

Notes towards the Definition of Dylan

Filed under: General — m759 @ 10:36 AM

From yesterday morning

“Play the numbers, play the odds
Play ‘Cry Me a River’ for the Lord of the gods”

— Bob Dylan at

This suggests . . .

Polydor 2001 566 —

Friday, March 27, 2020

Nobel Literature Lyrics

Filed under: General — m759 @ 9:47 AM

“Play the numbers, play the odds
Play ‘Cry Me a River’ for the Lord of the gods”

— Bob Dylan at

See also “Cry Me a River” in this journal.

Annals of Literature

Filed under: General — Tags: — m759 @ 7:58 AM

Recent posts now tagged Paycheck suggest . . .

Related material —

See too “The Bond with Reality” in posts tagged Voids.

The Lottery Midrash

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

NY Lottery numbers, midday and evening, March 26, 2020

For yesterday’s midday 179, see interpellation.

For yesterday’s evening 376, see transparencies.

Thursday, March 26, 2020

Line for a National Comedy Center

Filed under: General — Tags: — m759 @ 9:05 AM

Log24 last Sunday:

Two years earlier —

Saturday Night Live on March 24, 2018 (a repeat) —

Related literature: The 1953 Philip K. Dick story
“Paycheck” —

A punchline for Saoirse —

“Manly, yes, but I like it too.”

Wednesday, March 25, 2020

Spectral Evidence

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

See the recent post “On the Spectrum” and

See also The Matthias Defense.

Sunday in the Park

Filed under: General — Tags: — m759 @ 6:56 AM

Some notes suggested by recent posts now also tagged Three Days

Sporkin in 1975, according to his obituary in this morning’s print edition
of The New York Times

He reportedly died at 88 of natural causes on Monday, March 23.

Tuesday, March 24, 2020

The Amsterdam Connection

Filed under: General — Tags: , — m759 @ 11:22 AM

Some mathematics from Ghent —

Koen Thas, 'Unextendible Mututally Unbiased Bases' (2016)

Earlier, in Amsterdam . . .

First page of 'Configurations in Quantum Mechanics,' by E.M. Bruins, 1959

See as well Dirac and Geometry.

No Ordinary Venue

Filed under: General — Tags: , — m759 @ 4:24 AM

See the above title in this journal.  See also the Paradiso in Amsterdam.


Sunday, March 22, 2020

Three Days of the Breakthrough Institute

Filed under: General — Tags: — m759 @ 7:58 PM

For the Institute itself, see a March 9 death.

Related drama — Three Days in this journal and . . .


Filed under: General — m759 @ 11:00 AM

See also, for a child of Hell’s Kitchen,  a New York Times
quote from this morning’s print edition:

A version of this article appears in print
on , Section SR, Page 6 of
the New York edition with the headline:
My Grandma on Art and Sex.” —

“Above all, she was unfailingly true to herself.”

Putting the “Arch” in Architecture:

Filed under: General — m759 @ 8:23 AM

An 1132 for James Joyce —        (Click to enlarge)

Eightfold Site

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

A brief summary of the eightfold cube is now at octad.us.

Saturday, March 21, 2020

On the Spectrum

Filed under: General — m759 @ 6:57 AM

See as well The Night Clerk (2020) and The Padre.

Time Enough for Countin’

Filed under: General — m759 @ 6:22 AM

Friday, March 20, 2020

Father Flynn’s Walpurgisnacht

Filed under: General — m759 @ 11:31 AM

Father Flynn in this morning’s post “Hollywood Interpretation
of Quantum Mechanics” suggests a flashback to Tron: Legacy

A search for the above blogger “hilbertthm90”
yields some of his remarks from April 30, 2008
in his weblog “A Mind for Madness.” See as well
this  journal on Walpurgisnacht 2008.

Going Viral with Doctor WHO

Filed under: General — m759 @ 9:13 AM

“After consulting with medical experts and receiving guidance from
the World Health Organization, CNN has determined that the term
‘Chinese virus’ is both inaccurate and considered stigmatizing.”

March 19 coronavirus news
By Jessie Yeung, Helen Regan,
Adam Renton, Emma Reynolds and
Fernando Alfonso III, CNN,
Updated 10:42 p.m. ET, March 19, 2020

The Hollywood Interpretation of Quantum Mechanics

Filed under: General — Tags: , — m759 @ 7:36 AM

Suggested by Lyndon in “Devs” (Hulu), Episode 4 —

Thursday, March 19, 2020


Filed under: General — m759 @ 11:58 PM

In memory of Stephen Schwartz, a member of
the Harvard College class of 1963 —

Synchronology check —

Spring Awakening

Filed under: General — m759 @ 11:11 PM

In memory of a University of Washington pathologist
who reportedly died on Tuesday, March 17 —

Cezanne’s Greetings.

See as well . . .

Wednesday, March 18, 2020

Arch vs. Pyramid

Filed under: General — m759 @ 10:08 AM

This morning’s online New York Times  has news of Glastonbury:

Glastonbury Woo in this  journal features the arch, not the pyramid.

Tuesday, March 17, 2020

Geometric Theology

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

“Before time began” — Optimus Prime

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

See also posts tagged Aitchison.


Monday, March 16, 2020

Principles Before Personalities

Filed under: General — m759 @ 10:23 AM

For some personalities , see the previous post.


Filed under: General — m759 @ 10:02 AM

The Lindbergh Plot

Filed under: General — m759 @ 9:30 AM

Philip Roth's 2004 paranoid classic premieres on TV tonight.

I prefer an alternative Lindbergh plot. See Peter  Lindbergh in this  journal.

At right below, a work of art that the fashion photographer  Lindbergh
made when he was young and known as "Sultan."

Models and Monuments

Filed under: General — m759 @ 9:00 AM

". . . recognizing the bias in your models
and sharing it with clients, users, and engineers
is monumental . . . ."

Made Lapuerta, Sept. 23, 2019, on AI 

"Is this an obelisk I see before me?"

— m759, from a Log24 search for Obelisk

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.

Sunday, March 15, 2020

The “Octad Group”

Filed under: General — Tags: , — m759 @ 4:17 PM

The phrase “octad group” discussed here in a post
of March 7 is now a domain name, “octad.group,”
that leads to that post. Remarks by Conway and
Sloane now quoted there indicate how the group
that I defined in 1979 is embedded in the large
Mathieu group M24.

Related literary notes — Watson + Embedding.

Moriarty Songs

Filed under: General — m759 @ 2:09 PM

In memory of mathematician Richard K. Guy
and of songwriter Eric Taylor
who each reportedly died on March 9.

For Guy, some small numbers:

The image “http://www.log24.com/log/pix06/060407-Heaven.gif” cannot be displayed, because it contains errors.

For Taylor, a link to the lyrics of his song "Dean Moriarty."

See as well this journal on March 9.

(More backstory — Posts on Nanci Griffith.)

Saturday, March 14, 2020

Compare and Contrast.

Filed under: General — Tags: , , — m759 @ 9:38 PM

Logos —

See also Devs .

Richard K. Guy Has Died at 103.

Filed under: General — m759 @ 8:30 AM

Related material in this  journal — Posts tagged Berlekamp's Game.

News for Josefine Lyche

Filed under: General — m759 @ 7:37 AM

Artnet.com yesterday on "previously unsung or undersung
female artists working in esoteric or occult traditions" —


Filed under: General — Tags: — m759 @ 7:09 AM

Detail of Box Style I Ching: Hexagram 14.

Click the above image for details.

There was, however, a challenge by Cozzens himself:

Cozzens replies to Macdonald, March 1958

The apparent source:


Friday, March 13, 2020

Missa Brevis

Filed under: General — Tags: , — m759 @ 9:19 PM

In memory of a composer who reportedly died on Wednesday,
March 11, 2020 —

From a   synchronology  check


Filed under: General — m759 @ 6:35 PM

Phrase from an epigraph by F. Scott Fitzgerald:

"If you can bounce…."


Filed under: General — m759 @ 6:42 AM

Jack Bruce reportedly died on October 25, 2014.

Thursday, March 12, 2020

Letter to the World

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

Pace  Emily Dickinson.

Play Date

Filed under: General — Tags: , — m759 @ 7:15 PM

Today's 4:02 AM ET post, "Steinfeld as Rose the Hat,"
suggests a review —

A more impressive woman in white

Update of 8 PM ET —

Beckinsale gives Oct. 5, 2001, as the date of the New York
premiere of the film "Serendipity."  Synchronology check:

Beckinsale's premiere date — Oct. 5, 2001 — is incorrect.
The film was released  on that date, but its New York premiere
was actually on Oct. 3, 2001. See Getty Images.

Bee Season

Filed under: General — Tags: — m759 @ 6:23 AM

See the 2005 post Structure and a Log24 search for Bumblebee.

Steinfeld as Rose the Hat

Filed under: General — Tags: — m759 @ 4:02 AM

Above, Hailee Steinfeld in a fanciful portrayal
of poet Emily Dickinson.

"Wakey, Wakey!" — Doctor Sleep

Language Games: Reflection

Filed under: General — Tags: — m759 @ 3:20 AM

The conclusion of an elegy for George Steiner 
in th Times Literary Supplement  issue dated
March 13, 2020 —

"What distinguishes humans from other animals, Johann Gottfried Herder
suggested in his essay On the Origin of Language (1772), is not so much
their capacity for language as their capacity for arriving at general reflection
(Besonnenheit ) through language. Few thinkers of the postwar era can be
said to have pursued this reflection with as much range and rigour as George

Ben Hutchinson is Professor of European Literature at the University of Kent
and Director of the Paris School of Arts and Culture. His most recent book is 

Comparative Literature: A very short introduction, 2018 ."

See as well . . .

Wednesday, March 11, 2020

Hunger Game for a “Pop Culture Star”

Filed under: General — Tags: , , — m759 @ 9:46 PM

"A hunger to be more serious"

Arts & Letters Daily  on the late
    George Steiner, who reportedly
    died on February 3, 2020

The New York Times  on a Sunday death —

A Midrash —

Serious —

Elegy for a Language Animal

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

Visualizing Mathieu Group Generators

Filed under: General — Tags: — m759 @ 6:23 AM

Marston Conder's M24 generators are illustrated by Cullinane's diamond-theorem (2x2 case) figures.

Update of March 17, 2020 —

The graphic images illustrate nicely Conder's six 4-cycles, but
their relationship, if any, to his eight 2-cycles is a mystery —

The Conder paper is at 


Tuesday, March 10, 2020

Labeling a Cuboctahedron

Filed under: General — Tags: , — m759 @ 12:01 PM

The above arrangement of graphic images on  cube faces is purely
decorative and static, and of  little mathematical interest.

(A less static, but structurally chaotic, artifact might be made by
pasting the above 24 graphic images in the “Cosets in S4” picture
above onto the 24 faces of a 2x2x2 Rubik cube. This suggests the
reflection below on the poet Wallace Stevens, whose “Connoisseur
of Chaos” first appeared on page 90 of Twentieth Century Verse ,
Numbers 12-13, October 1938.)

If mathematically interesting  permutations of the graphic images
are to be done, the images should be imagined as situated on
parallel  planes, as in the permutahedron below —

IMAGE- 'Permutahedron of Opposites'-- 24 graphic patterns arranged in space as 12 pairs of opposites

Click the above permutahedron for an analysis of its structure.

Monday, March 9, 2020

“Archimedes at Hiroshima” Continues.

Filed under: General — Tags: , , — m759 @ 7:34 PM

The title is from a post of January 10, 2019.

A figure from this journal on June 1, 2019

The following figure may help relate labelings of the
truncated octahedron (“permutahedron”) to labelings
of its fellow Archimedean solid, the cuboctahedron.

See as well other posts tagged Aitchison.

Max von Sydow

Filed under: General — Tags: , — m759 @ 9:08 AM

The Bucharest Wheel

Filed under: General — Tags: , — m759 @ 8:14 AM

From the Bucharest author in last night's 12:12 AM post

From this  journal on the above date, Feb. 16, 2011 —

The Bucharest Cross

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

For fans of "The Zero Theorem" —

The 24 permutations of S4 arranged on a cube
by Cristi Stoica of Bucharest at

Sunday, March 8, 2020

A Tool

Filed under: General — Tags: — m759 @ 2:23 PM


Click on the above date for further details.

Joyce and Einstein on the Beach

Filed under: General — m759 @ 12:49 AM

"Hello! Kinch here. Put me on to Edenville.
Aleph, alpha: nought, nought, one." 

"A very short space of time through very short times of space….
Am I walking into eternity along Sandymount strand?"

— James Joyce, Ulysses , Proteus chapter

See also the previous post and Masks of the Illuminati .

Saturday, March 7, 2020

The “Octad Group” as Symmetries of the 4×4 Square

Filed under: General — Tags: — m759 @ 6:32 PM

From “Mathieu Moonshine and Symmetry Surfing” —

(Submitted on 29 Sep 2016, last revised 22 Jan 2018)
by Matthias R. Gaberdiel (1), Christoph A. Keller (2),
and Hynek Paul (1)

(1)  Institute for Theoretical Physics, ETH Zurich
(2)  Department of Mathematics, ETH Zurich

https://arxiv.org/abs/1609.09302v2 —

“This presentation of the symmetry groups Gi  is
particularly well-adapted for the symmetry surfing
philosophy. In particular it is straightforward to
combine them into an overarching symmetry group G
by combining all the generators. The resulting group is
the so-called octad group

G = (Z2)4  A8 .

It can be described as a maximal subgroup of M24
obtained by the setwise stabilizer of a particular
‘reference octad’ in the Golay code, which we take
to be O= {3,5,6,9,15,19,23,24} ∈ 𝒢24. The octad
subgroup is of order 322560, and its index in M24
is 759, which is precisely the number of
different reference octads one can choose.”

This “octad group” is in fact the symmetry group of the affine 4-space over GF(2),
so described in 1979 in connection not with the Golay code but with the geometry
of the 4×4 square.* Its nature as an affine group acting on the Golay code was
known long before 1979, but its description as an affine group acting on
the 4×4 square may first have been published in connection with the
Cullinane diamond theorem and Abstract 79T-A37, “Symmetry invariance in a
diamond ring
,” by Steven H. Cullinane in Notices of the American Mathematical
, February 1979, pages A-193, 194.

* The Galois tesseract .

Update of March 15, 2020 —

Conway and Sloane on the “octad group” in 1993 —

Thursday, March 5, 2020

“Generated by Reflections”

Filed under: General — Tags: — m759 @ 8:42 PM

See the title in this journal.

Such generation occurs both in Euclidean space 

Order-8 group generated by reflections in midplanes of cube parallel to faces

… and in some Galois spaces —

Generating permutations for the Klein simple group of order 168 acting on the eightfold cube .

In Galois spaces, some care must be taken in defining "reflection."


Filed under: General — Tags: , — m759 @ 10:56 AM
Suggested by the previous post:

"Garland is an architect of
        complicated stories 
        and actual spaces."

Adam Rogers, 7 AM March 4th, 2020,

See also The Reality Blocks.

Pythagorean Letter Meets Box of Chocolates

Filed under: General — Tags: , , , — m759 @ 10:30 AM

Friday, July 11, 2014

Spiegel-Spiel des Gevierts

Filed under: Uncategorized — m759 @ 12:00 PM

See Cube Symbology.

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube

Da hats ein Eck 

Wednesday, March 4, 2020

Language Game

Filed under: General — Tags: — m759 @ 10:58 PM

"Wheel Turnin’ ’Round and ’Round" 

Steely Dan

What Part of NO Don’t You Understand?

Filed under: General — m759 @ 6:58 PM

The previous post addressed the "N" part.

For the "O" part, see Juliette Binoche in "High Life," 
a sequel to Kristen Stewart as bait in "Clouds of
Sils Maria" (2014) —

The Tackle —


Filed under: General — m759 @ 3:43 PM

The minute  in the previous post's timestamp
suggests a review

See also Post-It Aesthetics
and posts tagged Story of N.

Architect’s Elegy

Filed under: General — Tags: , — m759 @ 2:31 PM

On Boston's Hancock Tower:

"I reflect that all art, all beauty, is reflection."

Fictional character by John Updike (July 1976)

The architect of the tower reportedly died Monday.

See as well "Reflections: Disturbing the Universe I"
by the late Freeman Dyson in The New Yorker
issue dated August 6, 1979.

A reflection I prefer:

Tuesday, March 3, 2020


Filed under: General — m759 @ 11:38 AM


There’s one corner of @gunnarfitness gym
that is, forever, England. This is not it.


Filed under: General — Tags: , — m759 @ 10:57 AM

Last night's 11:59 PM post linked to some news from Slovenia

"Ulay, the performance artist whose provocative collaborations with
Marina Abramovic often led them to push each other to extremes,
died on Monday at his home in Ljubljana, Slovenia. He was 76."

— Alex Marshall in The New York Times

Ljubljana last appeared in this  journal on August 10, 2011, in a  post
titled "Objectivity."

A number related to that concept — 

Euclid's Elements, Book I, Proposition 47.

Less objectively —

For Adults Only

Filed under: General — m759 @ 12:46 AM


Monday, March 2, 2020


Filed under: General — m759 @ 11:59 PM

"We were looking for a key…."

— Performance artist who reportedly died today.  See . . .

See also https://www.li-ma.nl/lima/sites/default/files/

The Alohomora Code

Filed under: General — Tags: — m759 @ 10:02 PM

Star Quality

Filed under: General — m759 @ 9:45 PM

See posts now tagged with the above title.

Entertainment and More  Entertainment

Filed under: General — Tags: — m759 @ 2:33 PM

Eye of the Beholder

Filed under: General — Tags: , — m759 @ 1:53 PM

In Memoriam: Jack Welch, 1935-2020

Filed under: General — m759 @ 10:34 AM

From a fictional tale at cia.gov

See as well 1982 Janine  in this  journal.

What Are You?

Filed under: General — m759 @ 10:00 AM

What are you, 12?
I'm 8. What are you reading?
Just a Western.
What does that mean? Is it good?
Pretty good.
What's the story?
I haven't finished it yet.

[Link added.]

Read more: https://www.springfieldspringfield.co.uk/

Sunday, March 1, 2020

Notes towards the Ministry of Culture

Filed under: General — Tags: — m759 @ 8:22 PM

Same Staircase, Different Day

Filed under: General — Tags: , , , — m759 @ 2:18 PM

Freeman Dyson on his staircase at Trinity College
(University of Cambridge) and on Ludwig Wittgenstein:

“I held him in the highest respect and was delighted
to find him living in a room above mine on the same
staircase. I frequently met him walking up or down
the stairs, but I was too shy to start a conversation.”

Frank Close on Ron Shaw:

“Shaw arrived there in 1949 and moved into room K9,
overlooking Jesus Lane. There is nothing particularly
special about this room other than the coincidence that
its previous occupant was Freeman Dyson.”

— Close, Frank. The Infinity Puzzle  (p. 78).
Basic Books. Kindle Edition.

See also other posts now tagged Trinity Staircase.

Illuminati enthusiasts  may enjoy the following image:

'Ex Fano Apollinis'- Fano plane, eightfold cube, and the two combined.

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