Saturday, December 3, 2016

Harry Potter and the Lumber Room

Filed under: General — Tags: — m759 @ 7:22 PM

"The dramatic irony is tragically strong with this one."

— A line from …

Harry Potter’: Who Is
The Cursed Child?

BY            AUGUST 1,  2016     

   Harry Potter with the lightning-bolt scar:

See also "Lumber Room" in this journal.

Wednesday, January 27, 2021

Game of Royalties

Filed under: General — Tags: — m759 @ 6:35 PM

For Holocaust Remembrance Day —

Little reportedly died at 79 on Jan. 7.

“Mr. Little submitted the manuscript for ‘Harry Potter and the Philosopher’s Stone’
to 12 publishers. He received 12 rejections in response, before selling it for £2,500,
or about $3,400 (the equivalent of about $5,800 today). It was a meager amount,
but his genius was in the details: He sold only the rights to publish it in Britain and
the Commonwealth, and he asked for high royalties.” — Clay Risen, New York Times

Leachman reportedly died at 94 today.

Dr. Frederick Frankenstein And it was you… who left my grandfather’s
book out for me to find.

Frau Blücher Yes.

Dr. Frederick Frankenstein So that I would…

Frau Blücher Yes.

Dr. Frederick Frankenstein Then you and Victor were…

Frau Blücher YES. YES. Say it. He vas my… BOYFRIEND!

In the spirit of Kinbote

The real  Frau Blücher was of course Hannah Arendt,
whose boyfriend was Martin Heidegger.

 Cf.  a Log24 post of April 10, 2017 —

From “Heidegger for Passover

Propriation1 gathers the rift-design2 of the saying
and unfolds it3 in such a way that it becomes
the well-joined structure4 of a manifold showing.”

— p. 415 of Heidegger‘s Basic Writings ,
edited by David Farrell Krell,
HarperCollins paperback, 1993

“Das Ereignis versammelt den Aufriß der Sage
und entfaltet ihn zum Gefüge des vielfältigen Zeigens.” 

— HeideggerWeg zur Sprache

1. “Mirror-Play of the Fourfold

2. “Christ descending into the abyss

3. Barrancas of Cuernavaca

4. Combinatorics, Philosophy, Geometry

Tuesday, August 13, 2019

The Central Myth

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

Wikipedia on film producer Lorenzo di Bonaventura
(Harvard AB (1980) in Intellectual History*) —

“His tenure at Warner Bros. included discovering and
shepherding The Matrix  into production, and the
purchase of the rights to the Harry Potter  books by
J. K. Rowling.”

From the previous post

“But he enters into the central myth of
this book at another, higher level as well;
for he is an artist, a potter . . . .

— Wendy Doniger O’Flaherty on
Claude Lévi-Strauss, author of
The Jealous Potter

* See as well “What is Intellectual History?” and
Magic for Liars .

Thursday, October 11, 2018


Filed under: General — m759 @ 1:00 PM

Related adcraft — "Harry Potter and the Philosopher's Stone"
became, for the U.S. market, "… and the Sorcerer's Stone."

Friday, August 31, 2018

Perception of Number

Filed under: General,Geometry — Tags: — m759 @ 8:31 PM

Review of yesterday's post Perception of Space

From Harry Potter and the Philosopher's Stone  (1997),
republished as "… and the Sorcerer's Stone ," Kindle edition:


In a print edition from Bloomsbury (2004), and perhaps in the
earliest editions, the above word "movements" is the first word
on page 168:


Click the above ellipse for some Log24 posts on the eightfold cube,
the source of the 168 automorphisms ("movements") of the Fano plane.

"Refined interpretation requires that you know that
someone once said the offspring of reality and illusion
is only a staggering confusion."

— Poem, "The Game of Roles," by Mary Jo Bang

Related material on reality and illusion
an ad on the back cover of the current New Yorker


"Hey, the stars might lie, but the numbers never do." — Song lyric

Thursday, August 30, 2018

Twenty Years

Filed under: General — Tags: — m759 @ 10:16 PM

This post was suggested by the final inside page, 23,
of next Sunday's New York Times Book Review ,
"Memorabilia/ Happy 20th Anniversary, Harry Potter."


From VOA Learning English, June 26, 2017

J.K. Rowling's Harry Potter Books
Turn 20 Years Old

. . . .

" J.K. Rowling’s first book about Harry and his friends at Hogwarts School of Witchcraft and Wizardry was released on June 26, 1997.

The publisher, Bloomsbury, only released 500 copies to stores in Britain and sent 500 to British libraries.

Now, thanks to 450 million more copies of the first book and six others, Harry Potter and his friends are known around the world.

Adults and children loved the books. But 12 publishers rejected the first one, known in many countries as 'Harry Potter and the Philosopher’s Stone.' "

. . . .

See as well this  journal on June 26, 2017 in
posts now tagged Ron Shaw In Memoriam.

Perception* of Space

Filed under: General,Geometry — m759 @ 2:12 PM




* A footnote in memory of a dancer who reportedly died
  yesterday, August 29 —  See posts tagged Paradigm Shift.

"Birthday, death-day — what day is not both?" — John Updike

Thursday, July 26, 2018

Accio Watson

Filed under: General — m759 @ 12:08 PM

Interview by Alice Lloyd George [AMLG] at techcrunch.com 
on April 17, 2017 —
. . . .

In an interview for Flux, I sat down with Natalya Bailey [NB], the co-founder and CEO of Accion Systems. 
. . . .

AMLG: When you talk about aliens I think of one of my favorite books by Carl Sagan  —  Contact. I don’t know if you ever watched the movie or read the book, but I picture you like Ellie in that film. She’s this brilliant scientist and stumbles across something big.

NB: I’ve definitely seen it. I’m currently making my way through Carl Sagan’s original Cosmos again.

AMLG: I love the original Cosmos. I’m a huge Carl Sagan fan, I love his voice, he’s so inspiring to listen to. Talking about books, I know you’re an avid reader. Did any books in particular influence you or your path to building Accion?

NB: Well I’m a gigantic Harry Potter fan and a lot of things around Accion are named after various aspects of Harry Potter, including the name Accion itself.

AMLG: Is that the Accio spell? The beckoning spell?

NB: Yes exactly. My co-founder and I were g-chatting late one night on a weekend and looking through a glossary of Harry Potter spells trying to name the company. Accio, the summoning spell, if you add an “N” to the end of it, it becomes a concatenation between “accelerate” and “ion,” which is what we do. That’s the official story of how we named the company, but really it was from the glossary of spells.

Related material — The Orbit Stabilizer Theorem.
See also the above date — April 17, 2017 —
in posts tagged Art Space.

Monday, May 7, 2018

Fish Babel

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

Stanley Fish in the online New York Times  today —

". . . Because it is an article of their faith that politics are bad
and the unmediated encounter with data is good,
internet prophets will fail to see the political implications
of what they are trying to do, for in their eyes political implications
are what they are doing away with.

Indeed, their deepest claim — so deep that they are largely
unaware of it — is that politics can be eliminated. They don’t
regard politics as an unavoidable feature of mortal life but as
an unhappy consequence of the secular equivalent of the
Tower of Babel: too many languages, too many points of view.
Politics (faction and difference) will just wither away when
the defect that generates it (distorted communication) has
been eliminated by unmodified data circulated freely among
free and equal consumers; everyone will be on the same page,
reading from the same script and apprehending the same
universal meanings. Back to Eden!"

The final page, 759, of the Harry Potter saga —

"Talk about magical thinking!" — Fish, ibidem .

See also the above Harry Potter page 
in this  journal Sunday morning.

Sunday, April 8, 2018


Filed under: General,Geometry — m759 @ 11:00 PM

From a Log24 post of Feb. 5, 2009 —

Design Cube 2x2x2 for demonstrating Galois geometry

An online logo today —

See also Harry Potter and the Lightning Bolt.


Friday, January 27, 2017

In Memory of Actor John Hurt

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

Hurt, who reportedly died today, played a purveyor
of magic wands
in the Harry Potter series and also
Control in “Tinker Tailor Soldier Spy.”

“In the original screenplay for the film adaptation
of Tinker Tailor Soldier Spy, Smiley muses that
Control had once told him that Howard Staunton
was the greatest chess master Britain had ever
produced. ‘Staunton’ later turns out to be the name
that Control used for the rental of his flat.”

— Wikipedia, Control (fictional character)

Related images —

Happy Chinese New Year.

Sunday, August 21, 2016

Imperium Emporium

Filed under: General,Geometry — m759 @ 11:30 PM

Design Cube 2x2x2 for demonstrating Galois geometry

Harry Potter with lightning-bolt scar

Harry Potter, star of the new film
"Imperium," with lightning-bolt
scar on his forehead

Thursday, November 26, 2015

Charm School

Filed under: General — m759 @ 1:28 AM

"When the first Harry Potter book appeared, in 1997,
it was just a year before the universal search engine
Google was launched. And so Hermione Granger,
that charming grind, still goes to the Hogwarts library
and spends hours and hours working her way through
the stacks, finding out what a basilisk is or how to
make a love potion."

— Adam Gopnik in The New Yorker  issue dated
     St. Valentine's Day, 2011

More recently, Gopnik writes that

"Arguing about non-locality went out of fashion, in this
account, almost the way 'Rock Around the Clock' 
displaced Sinatra from the top of the charts."

— Adam Gopnik in The New Yorker  issue dated
     St. Andrew's Day, 2015

This  journal on Valentine's Day, 2011 —

"One heart will wear a valentine." — Sinatra

" she has written a love letter to Plato, whom 
she regards as having given us philosophy.
He is, in her view, as relevant today as he ever 
was — which is to say, very."

New York Times  review of a book by 
Rebecca Newberger Goldstein, April 18, 2014

Friday, February 6, 2015

The Annotated Spielraum

Filed under: General — Tags: — m759 @ 7:00 AM

Comments on two sub-images from yesterday's
The Big Spielraum  (image, 1 MB) that may or
may not interest Emma Watson —

The Potter Sub-Image

This is from a link in a July 8, 2011, post:

The above "Childhood's End" link leads to
a midrash on the Harry Potter series:

"After pg. 759 in Harry Potter and the 
Deathly Hallows 
, my childhood ended."

The Carmichael Sub-Image

The number of the last page in the last Harry Potter
book is 759.  This number may, for those with
cabalistic tendencies, be interpreted as the
number 3*23*11 from a 1931 mathematics paper:

Saturday, July 12, 2014


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

A sequel to the 1974 film
Thunderbolt and Lightfoot :

Contingent and Fluky

Some variations on a thunderbolt  theme:

Design Cube 2x2x2 for demonstrating Galois geometry

These variations also exemplify the larger
Verbum  theme:

Image-- Escher's 'Verbum'

Escher’s Verbum

Image-- Solomon's Cube

Solomon’s Cube

A search today for Verbum  in this journal yielded
a Georgetown 
University Chomskyite, Professor
David W. Lightfoot.

"Dr. Lightfoot writes mainly on syntactic theory,
language acquisition and historical change, which
he views as intimately related. He argues that
internal language change is contingent and fluky,
takes place in a sequence of bursts, and is best
viewed as the cumulative effect of changes in
individual grammars, where a grammar is a
'language organ' represented in a person's
mind/brain and embodying his/her language

Some syntactic work by another contingent and fluky author
is related to the visual patterns illustrated above.

See Tecumseh Fitch  in this journal.

For other material related to the large Verbum  cube,
see posts for the 18th birthday of Harry Potter.

That birthday was also the upload date for the following:

See esp. the comments section.

Tuesday, November 20, 2012

The Particulars of Language

Filed under: General — Tags: — m759 @ 11:01 AM

This post is in memory of an English church musician whose
death was noted here yesterday evening in a post titled
"The Particulars of Rapture," a phrase from Wallace Stevens.

Sir Philip Ledger, who died on Sunday, was a
"church musician who produced magical settings
of carols," according to The Telegraph  RSS feed.

It is not clear what the Telegraph  meant by "magical settings."

Perhaps the phrase "his settings of carols" in his obituary refers
to the annual service of Nine Lessons and Carols at Cambridge,
where he was for a time director of music at King's College.

If so, the settings would be the Lessons, readings from the Bible
(a "ledger," in the sense defined below).  Such readings should
not be confused with notions from the world of Harry Potter

Examples: The Lessons from last Christmas in Cambridge.

IMAGE- Meanings of the word 'ledger'

Friday, June 22, 2012

Wand Work

Filed under: General — m759 @ 7:59 PM

The New York Times  today—
 "Reality and our perception of it are incommensurate…."

IMAGE- NY Times Wire item- 'Your Mind on Magic,' by Alex Stone

The above New York Times Wire  item from 3:35 PM ET today
mentions two topics touched on in today's earlier Log24 post
Bowling in Diagon Alley— magic (implied by the title) and
incommensurability. The connection in that post
between the two topics is the diagonal  of a square.

The  wire item shows one detail from a Times  illustration
of the linked article— a blindfolded woman.

Another detail from the same illustration—

IMAGE- Magician's hands on his wand, viewed as a diagonal of a square (or as Hexagram 14 in the box-style I Ching

Hands-on Wand Work

See also remarks on Magic in this journal and on Harry Potter.

I dislike both topics.

Friday, June 8, 2012

For Cullinane College*

Filed under: General — m759 @ 6:04 PM

A remark from the prepared text of Salman Khan,
who spoke at the MIT commencement today—

"I always tell people that MIT is the closest
thing to being Hogwarts— Harry Potter’s
wizarding school— in real life."

A detail from one computer's view of
the webcast of the commencement—

IMAGE- Video elapsed time indicator reads '11:27'

Time elapsed (from the start
of the browser's window, not  
from the start of the webcast) 

This suggests a look at the date  11/27—

IMAGE- A scene from St. Patrick's Cathedral

Click on St. Patrick's for further details.

* See June 6, 2007.

Friday, December 16, 2011


Filed under: General — Tags: — m759 @ 2:56 AM

"Just the facts." — Attributed to Joe Friday

A search in this journal in honor of the late
Christopher Hitchens yields links to two of his reviews—
a review of the author of The Girl with the Dragon Tattoo  and
a review of a work by a rather different author—

Harry Potter and the Deathly Hallows .

Sunday, June 19, 2011

Abracadabra (continued)

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

Yesterday's post Ad Meld featured Harry Potter (succeeding in business),
a 4×6 array from a video of the song "Abracadabra," and a link to a post
with some background on the 4×6 Miracle Octad Generator  of R.T. Curtis.

A search tonight for related material on the Web yielded…

(Click to enlarge.)

IMAGE- Art by Steven H. Cullinane displayed as his own in Steve Richards's Piracy Project contribution

   Weblog post by Steve Richards titled "The Search for Invariants:
   The Diamond Theory of Truth, the Miracle Octad Generator
   and Metalibrarianship." The artwork is by Steven H. Cullinane.
   Richards has omitted Cullinane's name and retitled the artwork.

The author of the post is an artist who seems to be interested in the occult.

His post continues with photos of pages, some from my own work (as above), some not.

My own work does not  deal with the occult, but some enthusiasts of "sacred geometry" may imagine otherwise.

The artist's post concludes with the following (note also the beginning of the preceding  post)—


"The Struggle of the Magicians" is a 1914 ballet by Gurdjieff. Perhaps it would interest Harry.

Thursday, May 5, 2011

Beyond Forgetfulness

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

From this journal on July 23, 2007

It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground.

– Wallace Stevens, “The Rock”

This quotation from Stevens (Harvard class of 1901) was posted here on when Daniel Radcliffe (i.e., Harry Potter) turned 18 in July 2007.

Other material from that post suggests it is time for a review of magic at Harvard.

On September 9, 2007, President Faust of Harvard

“encouraged the incoming class to explore Harvard’s many opportunities.

‘Think of it as a treasure room of hidden objects Harry discovers at Hogwarts,’ Faust said.”

That class is now about to graduate.

It is not clear what “hidden objects” it will take from four years in the Harvard treasure room.

Perhaps the following from a book published in 1985 will help…


The March 8, 2011, Harvard Crimson  illustrates a central topic of Metamagical Themas , the Rubik’s Cube—


Hofstadter in 1985 offered a similar picture—


Hofstadter asks in his Metamagical  introduction, “How can both Rubik’s Cube and nuclear Armageddon be discussed at equal length in one book by one author?”

For a different approach to such a discussion, see Paradigms Lost, a post made here a few hours before the March 11, 2011, Japanese earthquake, tsunami, and nuclear disaster—


Whether Paradigms Lost is beyond forgetfulness is open to question.

Perhaps a later post, in the lighthearted spirit of Faust, will help. See April 20th’s “Ready When You Are, C.B.

Sunday, July 11, 2010

Philosophers’ Keystone

Filed under: General — Tags: , — m759 @ 2:02 AM

(Background— Yesterday's Quarter to Three,
A Manifold Showing, Class of 64, and Child's Play.)

Image-- Notes on Lowry's arrival in Mexico on the ship 'Pennsylvania'

Image-- PA Lottery Saturday, July 10, 2010-- Midday 017, Evening 673


Fans of Gregory Chaitin and Harry Potter
may consult Writings for Yom Kippur
for the meaning of yesterday's evening 673.

(See also Lowry and Cabbala.)

Fans of Elizabeth Taylor, Ava Gardner,
and the Dark Lady may consult Prime Suspect
for the meaning of yesterday's midday 17.

For some more serious background, see Dante—

"….mirando il punto 
a cui tutti li tempi son presenti

– Dante, Paradiso, XVII, 17-18

The symbol    is used throughout the entire book
in place of such phrases as ‘Q.E.D.’  or
‘This completes the proof of the theorem’
to signal the end of a proof.”

Measure Theory, by Paul R. Halmos, Van Nostrand, 1950      

Halmos died on the date of Yom Kippur —  
October 2, 2006.            

Thursday, July 1, 2010

Darkness at Seven

Filed under: General,Geometry — m759 @ 7:00 PM

Hoax and Hype 
Four Years Ago Today—

Image-- Fanfiction-- Harry Potter and Plato's Diamond

There is Plato's diamond—

Image-- Plato's Diamond

and there is diamond theory

Google Search result for 'Diamond Theory'

… but there is no "Plato's Diamond Theory."

See, however, today's noon entry, "Plato's Code."

"You gotta be true to your code…" —Sinatra

Friday, March 6, 2009

Friday March 6, 2009

Filed under: General,Geometry — Tags: — m759 @ 7:30 PM
The Illuminati Stone

TV listing for this evening —
Family Channel, 7:30 PM:

"Harry Potter and
  the Sorcerer's Stone"

In other entertainment news —
Scheduled to open May 15:

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

"Only gradually did I discover
what the mandala really is:
'Formation, Transformation,
Eternal Mind's eternal recreation'"
(Faust, Part Two)

Carl Gustav Jung  

Related material:

"For just about half a century, E.J. Holmyard's concisely-titled Alchemy has served as a literate, well-informed, and charming introduction to the history and literature of Western alchemy." —Ian Myles Slater

From 'Alchemy,' by Holmyard, the diamond of Aristotle's 4 elements and 4 qualities

For more about this
"prime matter" (prima materia)
see The Diamond Archetype

The Diamond Cross

and Holy the Firm.



Holmyard —

'Alchemy,' by Holmyard, back cover of Dover edition

— and Aristotle's
On Generation and Corruption.

Friday, August 10, 2007

Friday August 10, 2007

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

The Ring of Gyges

10:31:32 AM ET

Commentary by Richard Wilhelm
on I Ching Hexagram 32:

“Duration is… not a state of rest, for mere standstill is regression.
Duration is rather the self-contained and therefore self-renewing
movement of an organized, firmly integrated whole, taking place in
accordance with immutable laws and beginning anew at every ending.”

Related material

The Ring of the Diamond Theorem

Jung and the Imago Dei

Log24 on June 10, 2007: 

WHAT MAKES IAGO EVIL? some people ask. I never ask. —Joan Didion

Iago states that he is not who he is. —Mark F. Frisch

“Not Being There,”
by Christopher Caldwell
from next Sunday’s
New York Times Magazine:

“The chance to try on fresh identities was the great boon that life online was supposed to afford us. Multiuser role-playing games and discussion groups would be venues for living out fantasies. Shielded by anonymity, everyone could now pass a ‘second life’ online as Thor the Motorcycle Sex God or the Sage of Wherever. Some warned, though, that there were other possibilities. The Stanford Internet expert Lawrence Lessig likened online anonymity to the ring of invisibility that surrounds the shepherd Gyges in one of Plato’s dialogues. Under such circumstances, Plato feared, no one is ‘of such an iron nature that he would stand fast in justice.’Time, along with a string of sock-puppet scandals, has proved Lessig and Plato right.”

“The Boy Who Lived,”
by Christopher Hitchens
from next Sunday’s
New York Times Book Review:

On the conclusion of the Harry Potter series:”The toys have been put firmly back in the box, the wand has been folded up, and the conjuror is discreetly accepting payment while the children clamor for fresh entertainments. (I recommend that they graduate to Philip Pullman, whose daemon scheme is finer than any patronus.)”

I, on the other hand,
recommend Tolkien…
or, for those who are
already familiar with
Tolkien, Plato– to whom
The Ring of Gyges” may
serve as an introduction.

“It’s all in Plato, all in Plato:
bless me, what do they
teach them at these schools!”
C. S. Lewis

Monday, July 30, 2007

Monday July 30, 2007

Filed under: General,Geometry — m759 @ 7:00 PM
The Deathly Hallows Symbol

'Deathly Hallows symbol, related to the 'Snakes on a Plane' cartoon.

Some fear that the Harry Potter books introduce children to the occult; they are not entirely mistaken.

According to Wikipedia, the “Deathly Hallows” of the final Harry Potter novel are “three fictional magical objects that appear in the book.”

The vertical line, circle, and triangle in the symbol pictured above are said to refer to these three magical objects.

One fan relates the “Deathly Hallows” symbol above, taken from the spine of a British children’s edition of the book, to a symbol for “the divine (or sacred, or secret) fire” of alchemy. She relates this fire in turn to “serpent power” and the number seven:

Kristin Devoe at a Potter fan site:

“We know that seven is a powerful number in the novels. Tom Riddle calls it ‘the most powerfully magic number.‘ The ability to balance the seven chakras within oneself allows the person to harness the secret fire. This secret fire in alchemy is the same as the kundalini or coiled snake in yogic philosophy. It is also known as ‘serpent power’ or the ‘dragon’ depending on the tradition. The kundalini is polar in nature and this energy, this internal fire, is very powerful for those who are able to harness it and it purifies the aspirant allowing them the knowledge of the universe. This secret fire is the Serpent Power which transmutes the base metals into the Perfect Gold of the Sun.

It is interesting that the symbol of the caduceus in alchemy is thought to have been taken from the symbol of the kundalini. Perched on the top of the caduceus, or the staff of Hermes, the messenger of the gods and revealer of alchemy, is the golden snitch itself! Many fans have compared this to the scene in The Order of the Phoenix where Harry tells Dumbledore about the attack on Mr. Weasley and says, ‘I was the snake, I saw it from the snake’s point of view.

The chapter continues with Dumbledore consulting ‘one of the fragile silver instruments whose function Harry had never known,’ tapping it with his wand:

The instrument tinkled into life at once with rhythmic clinking noises. Tiny puffs of pale green smoke issued from the minuscule silver tube at the top. Dumbledore watched the smoke closely, his brow furrowed, and after a few seconds, the tiny puffs became a steady stream of smoke that thickened and coiled into he air… A serpent’s head grew out of the end of it, opening its mouth wide. Harry wondered whether the instrument was confirming his story; He looked eagerly at Dumbledore for a sign that he was right, but Dumbledore did not look up.

“Naturally, Naturally,” muttered Dumbledore apparently to himself, still observing the stream of smoke without the slightest sign of surprise. “But in essence divided?”

Harry could make neither head not tail of this question. The smoke serpent, however split instantly into two snakes, both coiling and undulating in the dark air. With a look of grim satisfaction Dumbledore gave the instrument another gentle tap with his wand; The clinking noise slowed and died, and the smoke serpents grew faint, became a formless haze, and vanished.

Could these coiling serpents of smoke be foreshadowing events to come in Deathly Hallows where Harry learns to ‘awaken the serpent’ within himself? Could the snake’s splitting in two symbolize the dual nature of the kundalini?”

Related material

The previous entry

“And the serpent’s eyes shine    
As he wraps around the vine
In The Garden of Allah” —

and the following
famous illustration of
the double-helix
structure of DNA:

 Odile Crick, drawing of DNA structure in the journal Nature, 1953
This is taken from
a figure accompanying
an obituary, in today’s
New York Times, of the
artist who drew the figure

The double helix
is not a structure
from magic; it may,
however, as the Rowling
quote above shows, have
certain occult uses,
better suited to
Don Henley’s
Garden of Allah
than to the
  Garden of Apollo.

Seven is Heaven...

Similarly, the three objects
above (Log24 on April 9)
are from pure mathematics–
the realm of Apollo, not
of those in Henley’s song.

The similarity of the
top object of the three —
the “Fano plane” — to
the “Deathly Hallows”
symbol is probably
entirely coincidental.

Saturday, July 28, 2007

Saturday July 28, 2007

Filed under: General,Geometry — m759 @ 6:15 AM
The Third Cross

The Guardian, July 26,
on the late playwright
 George Tabori:

“… he triumphed again with The Goldberg Variations. Mr Jay, assisted by Goldberg, a concentration camp survivor, is rehearsing a montage of biblical scenes in Jerusalem. It is inspired satire, laced with Jewish and Christian polemics, sparkling wit and dazzlingly simple effects. For Golgotha a stagehand brings on three crosses. ‘Just two,’ says Jay. ‘The boy is bringing his own.’ Tabori often claimed that the joke was the most perfect literary form.”

Related material:

Log24 on
the date of
Tabori’s death

Harry Potter and Plato's Diamond
Click on image
for variations
 on the theme.

Monday, July 23, 2007

Monday July 23, 2007

Daniel Radcliffe
is 18 today.
Daniel Radcliffe as Harry Potter


“The greatest sorcerer (writes Novalis memorably)
would be the one who bewitched himself to the point of
taking his own phantasmagorias for autonomous apparitions.
Would not this be true of us?”

Jorge Luis Borges, “Avatars of the Tortoise”

El mayor hechicero (escribe memorablemente Novalis)
sería el que se hechizara hasta el punto de
tomar sus propias fantasmagorías por apariciones autónomas.
¿No sería este nuestro caso?”

Jorge Luis Borges, “Los Avatares de la Tortuga

Autonomous Apparition

At Midsummer Noon:

“In Many Dimensions (1931)
Williams sets before his reader the
mysterious Stone of King Solomon,
an image he probably drew from
a brief description in Waite’s
The Holy Kabbalah (1929) of
a supernatural cubic stone
on which was inscribed
‘the Divine Name.’”
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Related material:
It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure 

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground.

– Wallace Stevens, “The Rock”

See also
as well as
Hofstadter on
his magnum opus:
“… I realized that to me,
Gödel and Escher and Bach
were only shadows
cast in different directions by
some central solid essence.
I tried to reconstruct
the central object, and
came up with this book.”
Goedel Escher Bach coverHofstadter’s cover.

Here are three patterns,
“shadows” of a sort,
derived from a different
“central object”:
Faces of Solomon's Cube, related to Escher's 'Verbum'

Click on image for details.

Monday July 23, 2007

Filed under: General,Geometry — Tags: — m759 @ 7:59 AM
Today’s Birthday:
Daniel Radcliffe
(“Harry Potter”)

Harry Potter and the Philosopher's Stone DVD


(Plato, Meno)

Plato's Diamond colored

and Variations:

Diamond Theory cover, 1976
Click on picture for details.

“A diamond jubilance
beyond the fire,
That gives its power
to the wild-ringed eye”

— Wallace Stevens,
“The Owl in the Sarcophagus”

Thursday, July 19, 2007

Thursday July 19, 2007

Filed under: General — m759 @ 2:00 AM

Death Flight

Lord Voldemort (in French vol de mort meaning “flight of death” or “steals of/in death,” in Portuguese volta da morte meaning “return from death”) made his debut in Harry Potter and the Philosopher’s Stone.

Wikipedia folk etymology; corrected, but may still contain errors.

Related material: Yesterday’s entries and the remarks from Porto Alegre, Brazil, quoted here on January 25, 2005.

Thursday July 19, 2007

Filed under: General — m759 @ 1:44 AM

Death Flight

Lord Voldemort (vol de mort meaning “flying in death,” or “steals of/in death”, or, more likely, ‘death flight’ in French. volta de morte in portuguese means return from the dead) made his debut in Harry Potter and the Philosopher’s Stone.
— Wikipedia

Tuesday, July 10, 2007

Tuesday July 10, 2007

Filed under: General — m759 @ 12:01 AM
Perfect your
wand work

— Web page for the
Harry Potter and the
Order of the Phoenix”
Xbox 360 game

Sounds to me
more like Harry Reems.

Monday, July 9, 2007

Monday July 9, 2007

Filed under: General,Geometry — m759 @ 11:59 PM
Harry Potter and
the Xbox 360

Harry Potter and the Order of The Phoenix for Xbox 360 “is based on the fifth book and is timed to coincide with the release of the movie of the same name…. The game consists of Harry walking around and talking to characters and performing spells and tasks in order to advance the plot. I jokingly considered calling this review ‘Harry Potter and the Order of the Random Tasks Needed to Advance the Plot.'” —July 9 review at Digital Joystick

Today’s lottery numbers
in the Keystone State:

Mid-day 220
Evening 034

Related material:
2/20 and
Hexagram 34 in the
box-style I Ching:

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The Power
of the Great

Let us hope that Harry fans remember the meaning of Hexagram 34 (according to Richard Wilhelm)– “Perseverance furthers” and “That is truly great power which does not degenerate into mere force but remains inwardly united with the fundamental principles of right and of justice. When we understand this point– namely, that greatness and justice must be indissolubly united– we understand the true meaning of all that happens in heaven and on earth.”

Related material:

If Cullinane College
were Hogwarts

(continued) and
the four entries
that preceded it
on July 5-6, 2007

Monday, July 7, 2003

Monday July 7, 2003

Filed under: General — Tags: — m759 @ 4:30 PM

Burying Andrew Heiskell

Matthew Book 8:

21 And another of his disciples said unto him, Lord, suffer me first to go and bury my father.
22 But Jesus said unto him, Follow me; and let the dead bury their dead.

Andrew Heiskell, former chairman and CEO of TIME, Inc., died on Sunday, July 6, 2003.

The nauseating mixture of piety and warmongering instituted by Henry Luce continued under Heiskell in the Vietnam years, and continues today online, with a pious quotation from Mel Gibson and a cover headline, "Peace is Hell."

A search for a Heiskell eulogy at TIME.com yields the following "quote of the week":

"The Holy Ghost was working through me on this film, and I was just directing traffic." — Mel Gibson

Recent TIME traffic included covers on Ben Franklin, Crusaders, and Harry Potter.


July 7

June 30

June 23

How Mel would direct this traffic is not clear.

He would do well to pray, not to the ghost he calls holy, but to the ghost of T. S. Matthews, which may be summoned by clicking on the "jazz priest" link in yesterday's entry, "Happy Trails."  Matthews, who succeeded Luce as editor of TIME, can be trusted to dispose of Heiskell's immortal soul with intelligence and taste, in accordance with the company policy of Jesus quoted above.

Should Militant Mel require more spiritual guidance, he might consult my entry of May 27, 2003, which seems appropriate on this, the birthday of storyteller Robert A. Heinlein, author of Job: A Comedy of Justice.

Thursday, June 26, 2003

Thursday June 26, 2003

Filed under: General — m759 @ 9:57 PM


“I really don’t believe in magic. I believe in some kinds — the magic of imagination and the magic of love.”

J. K. Rowling, Harry Potter’s creator,
June 26, 2003

Amen, Sister.

Monday, June 23, 2003

Monday June 23, 2003

Filed under: General — m759 @ 7:45 PM

Harry Potter
and the Fairy Queen

Lest the incautious reader gain the impression from yesterday’s entry “The Real Hogwarts” that Christianity is anything other than a pack of damned lies, or that the phrase “oasis of civilisation” I used yesterday was meant otherwise than with tongue in cheek, I would like to nominate a well-known professional Christian liar as Queen of the Fairies this Midsummer Eve.

The reader is referred to

The Good Book:
Reading the Bible with Mind and Heart

by the Rev. Peter Gomes, Plummer Professor of Christian Morals at Harvard and pastor of that institution’s Memorial Church.

The Rev. Gomes, an acknowledged homosexual, gave a commencement address recently wearing a gorgeously red academic gown.  This comported well with his contention that the real heroine of “Through the Looking Glass” was not Alice, but the Red Queen.  The reason?  The Red Queen, Gomes says, could believe as many as six impossible things before breakfast.  Apparently this is a virtue in Christian Morals, at least at Harvard.

For a RealOne video of Gomes’s address, click on the link below:

The Red Queen

(Actually, the queen who discusses “six impossible things” in Chapter 5 of Through the Looking Glass is the White Queen, but clergymen never let a little detail like truth stand in their way.)

Sunday, June 22, 2003

Sunday June 22, 2003

Filed under: General,Geometry — m759 @ 2:28 AM

The Real Hogwarts

is at no single geographical location; it is distributed throughout the planet, and it is perhaps best known (apart from its disguises in the fiction of J. K. Rowling, C. S. Lewis, Charles Williams, and other Inklings) as Christ Church.  Some relevant links:

Christ Church College, Oxford

Christchurch, New Zealand

  • University of Canterbury
    Physical Sciences Library:

    Keeping Current with the Web:
    Maths & Statistics, June 2002

    Diamond Theory:
    Symmetry in Binary Spaces

    The author of this site is Steven Cullinane, who has also written booklets on the subject.  The web site provides detailed discussions of Diamond Theory, and is intended for college math students or mathematicians.  According to Cullinane, Diamond Theory is best classified in the subject of “finite automorphism groups of algebraic, geometric, or combinatorial structures.” The site also includes links to other resources.    From the NSDL Scout Report for Math, Engineering and Technology, Volume 1, No. 9, 7 June 2002, Copyright Internet Scout Project 1994-2002.  http://scout.cs.wisc.edu

Christ Church, Christchurch Road,
Virginia Water, England

Finally, on this Sunday in June, with The New York Review of Books of July 3, 2003, headlining the religion of Scientism (Freeman Dyson reviewing Gleick’s new book on Newton), it seems fitting to provide a link to an oasis of civilisation in the home town of mathematician John Nash — Bluefield, West Virginia.

Christ Church,
Bluefield, West Virginia

Friday, June 20, 2003

Friday June 20, 2003

Filed under: General — m759 @ 1:28 AM

The Order of the Phoenix

Some links of interest
on this day of Potter-mania:

The Royal Order of the Phoenix

Knight’s Gold Cross
 With Swords

awarded to
Arthur Edmonds,

Royal New Zealand Engineers,
attached to Special Operations Executive and parachuted into occupied Greece
1 October 1941,
serving with Greek guerrillas.

St. James Church Cemetery,
Kerikeri, New Zealand

In Loving Memory of
 Arthur Edmonds
who died June 20th,
1914, aged 88 years:


Anglican Diocese
of Auckland

Catholic Diocese
of Phoenix

See also Cullinane College.

“The dark lord re-emerges, but thinking he can now kill Harry, discovers that Harry is still protected, since both his wand and Harry’s wand have as their essence two feathers from the same phoenix, a phoenix that has only given two feathers, and they cannot be used against one another.”

Harry Potter:
Social Activist for the 21st Century

“The question is — why does the same story keep getting told? The answer is that we’re still trying to figure it out.”

Me and Frodo Down by the Schoolyard

Friday, December 6, 2002

Friday December 6, 2002

Filed under: General — m759 @ 1:06 PM

Great Simplicity

Frank Tall







is the day that Daisetsu Suzuki attained satori,
according to the Zen Calendar.  “Daisetsu” is
said to mean “Great Simplicity.”

For those who prefer Harry Potter and
Diagon Alley, here is another calendar:

To Have and Have Not

Those who prefer traditional Western religions may like a site on the Trinity that contains this:

“Zen metaphysics is perhaps most succinctly set forth in the words ‘not-two.”  But even when he uses this expression, Suzuki is quick to assert that it implies no monism.  Not-two, it is claimed, is not the same as one.*  But when Suzuki discusses the relationship of Zen with Western mysticism, it is more difficult to escape the obvious monistic implications of his thinking.  Consider the following:

We are possessed of the habit of looking at Reality by dividing it into two… It is all due to the human habit of splitting one solid Reality into two, and the result is that my ‘have’ is no ‘have’ and my ‘have not’ is no ‘have not.’  While we are actually passing, we insist that the gap is impassable.**”

*See: Daisetz T. Suzuki, ‘Basic Thoughts Underlying  Eastern Ethical and Social Practice’ in Philosophy and Culture  East and West: East-West Philosophy in Practical Perspective, ed. Charles A. Moore (Honolulu: University of Hawaii Press, 1968), p. 429

** Daisetsu Teitaro Suzuki, Mysticism Christian and Buddhist (London: George Allen & Unwin, 1957, Unwin paperback, 1979), p. 57.

Personally, I am reminded by Suzuki’s satori on this date that today is the eve of the anniversary of Pearl Harbor.  I am also reminded by the rather intolerant tract on the Trinity quoted above that the first atomic bomb was exploded in the New Mexico desert at a test site named Trinity.  Of course, sometimes intolerance is justified.

Concluding unscientific postscript:

On the same day in 1896 that D. T. Suzuki attained satori,
lyricist Ira Gershwin was born.

Dies irae, dies illa.

Sunday, September 15, 2002

Sunday September 15, 2002

Filed under: General,Geometry — m759 @ 11:07 PM

Evariste Galois and 
The Rock That Changed Things

An article in the current New York Review of Books (dated Sept. 26) on Ursula K. Le Guin prompted me to search the Web this evening for information on a short story of hers I remembered liking.  I found the following in the journal of mathematician Peter Berman:

  • A Fisherman of the Inland Sea, Ursula K. Le Guin, 1994:
    A book of short stories. Good, entertaining. I especially liked “The Rock That Changed Things.” This story is set in a highly stratified society, one split between elite and enslaved populations. In this community, the most important art form is a type of mosaic made from rocks, whose patterns are read and interpreted by scholars from the elite group. The main character is a slave woman who discovers new patterns in the mosaics. The story is slightly over-the-top but elegant all the same.

I agree that the story is elegant (from a mathematician, a high compliment), so searched Berman’s pages further, finding this:

A table of parallels

between The French Mathematician (a novel about Galois) and Harry Potter and the Sorcerer’s Stone

My own version of the Philosopher’s Stone (the phrase used instead of “Sorcerer’s Stone” in the British editions of Harry Potter) appears in my profile picture at top left; see also the picture of Plato’s diamond figure in my main math website.  The mathematics of finite (or “Galois”) fields plays a role in the underlying theory of this figure’s hidden symmetries.  Since the perception of color plays a large role in the Le Guin story and since my version of Plato’s diamond is obtained by coloring Plato’s version, this particular “rock that changes things” might, I hope, inspire Berman to extend his table to include Le Guin’s tale as well.

Even the mosaic theme is appropriate, this being the holiest of the Mosaic holy days.

Dr. Berman, G’mar Chatimah Tova.

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