Saturday, January 26, 2019

In Memory of a Composer

Filed under: General,Geometry — 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,Geometry — 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 — Tags: — 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 — 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 — Tags: — 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

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