Log24

Tuesday, September 30, 2014

Pythagorean Selfie

Filed under: General — Tags: , — m759 @ 5:01 pm

"Rarely is a TV show as brilliant and as terrible as Selfie ."

Kevin Fallon on a new ABC TV show that starts tonight at 8 PM ET

A recent selfie from Josefine Lyche's Instagram page:

For some remarks related to Lyche's pentagram, see
Lyche + Mathmagic* and also yesterday's Michaelmas Mystery.

In today's previous post, the late Harvey Cohn posed a question that
he said might have been asked by Pythagoras:

"It is an elementary observation that an integral right triangle
has an even area. Suppose the hypotenuse is prime.

Q.  How do we determine from the prime value of the hypotenuse
when the area is divisible by 4, 8, 16, or any higher power of 2?

A.  We use class fields constructed by means of transcendental
functions, of course!"

— From the preface to Introduction to the Construction of Class Fields ,
by Harvey Cohn (Cambridge University Press, 1985)

Illustration:

For a related song, see Prime Suspect (Dec. 13, 2007).

Footnote of 12:14 AM Oct. 1, 2014 —

* That search yields a link to…

This Lyche webpage's pentagram  indicates an interest in Disney rather than
in SatanismOther Lyche webpages have been less reassuring.

Related material — Posts tagged Elegantly Packaged.

Pythagoras to Cohn

Filed under: General — Tags: — m759 @ 1:20 pm

Harvey Cohn on class field theory and a question that might have
been asked by Pythagoras:
IMAGE- Harvey Cohn on class field theory and a question that might have been asked by Pythagoras

See also yesterday’s Michaelmas Mystery and Michaelmas Texts.

Monday, September 29, 2014

Michaelmas Texts

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

This morning’s previous post quoted a sort of
invitation to damnation
from Princeton University Press:

An alternative to damnation:

Michaelmas Mystery

Filed under: General,Geometry — m759 @ 9:30 am

IMAGE- Pentagram from Arturo Sangalli's novel 'Pythagoras' Revenge'

Some related material in this journal: “Peter J. Cameron” + Magic.

Sunday, September 28, 2014

The Hades Factor

Filed under: General — m759 @ 9:00 pm

Happy birthday to Mira Sorvino.

Related material:

Today’s posts Hitchcockian,  Darkness and Light,
and Requiem for Abse.

Some context for the last of these:

The conclusion of last night’s episode of Intruders .

Requiem for Abse

Filed under: General — m759 @ 7:59 pm

Darkness and Light

Filed under: General — m759 @ 7:01 pm

Click to enlarge.

Hitchcockian

Filed under: General — m759 @ 12:00 pm

I call it Hitchcockian.

— Helen Mirren on her 2010 film “The Debt

An obituary from BBC News on Sept. 22, 2014:

Israeli Mossad spy Mike Harari dies, aged 87

BBC News did not give a date for the death.

The New York Times  now says that Harari died on Sunday, Sept. 21, 2014.

This journal on that date —

From the BBC America TV series “Intruders,” Season 1, Episode 4,
“Ave Verum Corpus “ (33:34 of 45 min.):

Mira Sorvino pays her respects to a distinguished corpse.

Sermon

Filed under: General — m759 @ 11:00 am

Bridge to Alcatraz ('X-Men: The Last Stand')

“… just as God defeats the devil: this bridge exists….” — André Weil

Magneto ('X-Men' series)

The bridge illustration is thanks to Magneto.

Saturday, September 27, 2014

Imaginary Bridge

Filed under: General — m759 @ 5:45 pm

In memory of Nicholas Romanov, who reportedly died on Sept. 15, 2014 (British time).

Frank Rich in a New York Times  book review with online date July 31, 2014:

” The Invisible Bridge  takes its title from a bit of cynical political advice
bestowed on Nixon by Nikita Khrushchev: ‘If the people believe there’s
an imaginary river out there, you don’t tell them there’s no river there.
You build an imaginary bridge over the imaginary river.’ “

The book under review discusses a span of history beginning in 1973.

http://www.log24.com/log/pix11A/110615-RiverOfRivers.jpg

— Wallace Stevens, Collected Poems

See also Logan and Xavier discussing history at the end of
“X-Men: Days of Future Past.”

Software, Hardware

Filed under: General — m759 @ 12:00 pm

“Pinker’s love for the nuts and bolts of language
(he calls verbs his ‘little friends’)
is equally matched by his appreciation for,
and command of, the way it’s put together,
making him the ideal guide to the subject.”

Laurence Phelan, review of The Stuff of Thought:
Language as a Window into Human Nature ,
by Steven Pinker, in The Independent  on Sunday,
June 22, 2008

“Say hello to my little friend.”

Happy birthday, sweet sixteen.

The Ten

Filed under: General — Tags: — m759 @ 10:20 am

Ten'll getcha twenty.

Plan B: Books

Filed under: General — m759 @ 9:48 am
http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in
Starting Out in the Evening

Right: Johnny Depp in
The Ninth Gate

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

“One must proceed cautiously, for this road— of truth and falsehood
in the realm of fiction— is riddled with traps and any enticing oasis
is usually a mirage.”

– “Is Fiction the Art of Lying?” by Mario Vargas Llosa,
New York Times  essay of October 7, 1984

For the title plan, see Sisteen in this journal.

Sweet Sixteen

Filed under: General — Tags: — m759 @ 2:01 am

Google celebrates its 16th birthday today.

Here are some family values found with its help.

The father-in-law of the late Thomas A. Tombrello
(previous post) was sociologist Robert K. Merton.
See a tribute to Merton by his daughter Stephanie,
Tombrello's widow. See also a Log24 post mentioning
Merton from Oct. 19, 2005. That post leads to a
post from the date of Merton's death, Feb. 23, 2003.

From that 2003 post:

“Her wall is filled with pictures,
She gets ‘em one by one.”

— “Sweet Little Sixteen,” by Chuck Berry
(Chess Records, January 1958)

Diabolically Complex Riddle

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

Steve Chawkins in the Los Angeles Times
Friday, September 26, 2014, 12:09 PM LA time —

"Tom Tombrello, a Caltech physics professor for more than
50 years and an inspiration for freshmen who had to grapple
with diabolically complex riddles to enter his legendary class
on scientific thinking [Physics 11], has died. He was 78.

Tombrello collapsed Tuesday [Sept. 23, 2014] on a bus
between terminals at London's Heathrow airport, his wife,
Stephanie, said. The cause of his death has not yet been determined….

… Tombrello accepted only a handful of students for each year's
session of Physics 11."

How many students is a handful?

Related material from this journal on the day of the professor's death:

Friday, September 26, 2014

Style

Filed under: General — m759 @ 12:00 pm

“You can play things stylishly on the wrong instruments
or unstylishly on the right instruments;
I hope we’ll get it stylish on the right instruments.”

— The late Christopher Hogwood, founder of  the
Academy of Ancient Music

Hogwood reportedly died at his home in Cambridge, England,
on Wednesday, Sept. 24, 2014.

In memoriam—

This journal on Wednesday

The notes of the just intonation major scale:

 .

See also Hogwood on Mozart.

Time

Filed under: General — Tags: — m759 @ 11:30 am

For T. S. Eliot’s birthday:

“Time present and time past
Are both perhaps present in time future,
And time future contained in time past.
If all time is eternally present
All time is unredeemable.
What might have been is an abstraction
Remaining a perpetual possibility
Only in a world of speculation.
What might have been and what has been
Point to one end, which is always present.”

— Opening passage of  Four Quartets

See also the previous post.

The X-Men Omen

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

Days of Future Past :

Thursday, September 25, 2014

Big Eyes

Filed under: General — m759 @ 7:00 pm

For Amy and Josefine:  Keane .

The 2008 “Perfect Symmetry” album cover illustrated
in the “Keane” search linked to above is by Osang Gwon.

http://www.log24.com/log/pix11A/110517-Keane-PerfectSymmetry225.jpg

Theology and Art

Filed under: General — m759 @ 12:00 pm

Recommended reading for Josefine Lyche:

See also Ayn Sof (Jan. 7, 2011).

Mystery

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

"Welcome to America." — Harrison Ford in "The Devil's Own"

America  (current issue):

On readings at Mass on Sunday, Sept. 21, 2014 —

"Isaiah 55:8-9: 'For my thoughts are not your thoughts,
neither are your ways my ways, says the Lord.
For as the heavens are higher than the earth,
so are my ways higher than your ways
and my thoughts than your thoughts.'

The Gospel reading… was a perfect complement to
the passage from Isaiah…."

The America  piece quoting Isaiah was titled "The Mystery of God."

The author "currently works at Xavier College Preparatory
in Palm Desert, CA, where he teaches theology…."

Related material: This  journal that Sunday morning:

See also "The Mystery of God, Part II" —

Other secular stand-ins for "the thing one doesn't know"—
The mysteries of the late Joseph D. McNamara.

Star Wars

Filed under: General — m759 @ 12:16 am

“Welcome to America.” — Harrison Ford in “The Devil’s Own” (1997)

Wednesday, September 24, 2014

Oslo, 5 A.M.*

Filed under: General — m759 @ 11:00 pm

To thine own selfie be true .

* Title suggested by The Tiffany Puzzle (Dec. 7, 2010).

 

Ideas

Filed under: General — m759 @ 8:48 pm

We tell ourselves stories in order to live.
The princess is caged in the consulate.
The man with the candy will lead the children into the sea.
The naked woman on the ledge outside the window
on the sixteenth floor is a victim of accidie, or
the naked woman is an exhibitionist, and it would be
‘interesting’ to know which. We tell ourselves that it makes
some difference whether the naked woman is about to
commit a mortal sin or is about to register a political protest
or is about to be, the Aristophanic view, snatched back to the
human condition by the fireman in priest’s clothing just visible
in the window behind her, the one smiling at the telephoto lens.
We look for the sermon in the suicide, for the social or moral
lesson in the murder of five. We interpret what we see, select
the most workable of the multiple choices. We live entirely,
especially if we are writers, by the imposition of a narrative line
upon disparate images, by the ‘ideas’ with which we have learned
to freeze the shifting phantasmagoria which is our actual
experience.”

Joan Didion

This evening’s New York Lottery:  659 and 7326.

Variation on a Simple Tune

Filed under: General — Tags: — m759 @ 11:20 am

The previous post discussed a tune ending in the following
sequence of notes (symbols as in a Wikipedia article):

C#4  B4  A4  E4  G4 .

(This sequence was approximated in that post by integers
representing the relative frequencies of the notes:  5  9  8  6  7 .)

Yesterday’s simple tune may suggest to some a similar refrain:

D4    E4    C4   C3   G3 .

This is, as a helpful page at Ars Nova Software explains,
the theme from “Close Encounters of the Third Kind.”

The notes of the just intonation major scale:

The corresponding ratios from Close Encounters are…

9/8   5/4   1/1   1/2   3/4 , or, in whole numbers, 9  10  8  4  6.

These numbers also correspond, as in yesterday’s post, to the notes

B4  C#5  A4  A3  E4 .

Click the image below to try this on an online keyboard, playing keys

9  10  8  4  6  for Close Encounters.

“And you can tell everybody this is your song…”

Tuesday, September 23, 2014

Simple Tune

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

1  2  3  4  5  9  8  6  7

220 * (1/4) =   55 = A1

220 * (2/4) = 110 = A2

220 * (3/4) = 165 = approximately E3 (164.8)

220 * (4/4) = 220 = A3

220 * (5/4) = 275 = approximately C4/D4 (277.2) 

220 * (6/4) = 330 = approximately E4  (329.6)

220 * (7/4) = 385 = approximately G4  (392.0) 

220 * (8/4) = 440 = A4

220 * (9/4) = 495 = approximately B4  (493.9) 

Exact frequencies (such as 277.2) are from Wikipedia’s Piano key frequencies.

“It may be quite simple, but now that it’s done….

Palm Desert’s Got Talent

Filed under: General — m759 @ 4:59 pm

The film captures the offbeat time warp of the present-day
desert cities around Palm Springs, with the movie being
partly filmed in Palm Desert.”

See also posts on College of the Desert.

http://www.log24.com/log/pix11C/111010-CollegeOfTheDesert-Seal.gif

Matrix

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

From AP's Today in History:

Happy birthday.

"It all adds up." — Saul Bellow

The Matrix:

Meanwhile, Back at Harvard…

Filed under: General — Tags: , — m759 @ 10:18 am

"William Deresiewicz argued his claim that students of elite universities
are growingly risk-averse, homogeneous, and career-focused with a
panel of faculty members and students on Monday evening.

Hosted by Harvard’s Mahindra Humanities Center, the question-and-
answer-style forum involved a panel…. The panel was moderated by
Homi K. Bhabha, director of the Mahindra Center."

— Alexander H. Patel in today's online Harvard Crimson

See also Con Vocation (Sept. 2, 2014).

Both Hands and an Ass Map

Filed under: General — Tags: , , — m759 @ 9:48 am

Remarks by University Diaries  this morning suggested a search for
Rutgers in this journal. That search yields a post from Dec. 30, 2005,
that is closely related to both this morning's previous post and to recent
Log24 remarks on entities and concrete universals .

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