Log24

Tuesday, August 9, 2016

Gestalt

Filed under: General,Geometry — Tags: , — m759 @ 9:29 pm

See "Smallest Perfect" and "We Are Six."

Saturday, January 24, 2015

Now We Are Six (continued)

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

Wikipedia on a 1953 novel by Theodore Sturgeon:

"The novel concerns the coming together of
six extraordinary people with strange powers…."

Review of the novel by Ted Gioia at Conceptual Fiction :

"If there is a flaw to More Than Human , it comes from
the writer’s desire to achieve more than fiction. If you 
think that sci-fi books don’t pay attention to deep
inner meanings, you will be surprised by the conclusion
to this work, in which Sturgeon reaches for something
bigger than a story of this scale can deliver."

Background: Sturgeon's novella Baby is Three  (1952).

See also  6!  in this journal.

Saturday, April 13, 2013

Princeton’s Christopher Robin

The title is that of a talk (see video) given by
George Dyson at a Princeton land preservation trust,
reportedly on March 21, 2013.  The talk's subtitle was
"Oswald Veblen and the Six-hundred-acre Woods."

Meanwhile

Thursday, March 21, 2013

Geometry of Göpel Tetrads (continued)

m759 @ 7:00 PM

An update to Rosenhain and Göpel Tetrads in PG(3,2)
supplies some background from
Notes on Groups and Geometry, 1978-1986,
and from a 2002 AMS Transactions  paper.

IMAGE- Göpel tetrads in an inscape, April 1986

Related material for those who prefer narrative
to mathematics:

Log24 on June 6, 2006:

 

The Omen:


Now we are 
 

6!

Related material for those who prefer mathematics
to narrative:

What the Omen narrative above and the mathematics of Veblen
have in common is the number 6. Veblen, who came to
Princeton in 1905 and later helped establish the Institute,
wrote extensively on projective geometry.  As the British
geometer H. F. Baker pointed out,  6 is a rather important number
in that discipline.  For the connection of 6 to the Göpel tetrads
figure above from March 21, see a note from May 1986.

See also last night's Veblen and Young in Light of Galois.

"There is  such a thing as a tesseract." — Madeleine L'Engle

Friday, June 4, 2010

A Better Story

Filed under: General,Geometry — Tags: , — m759 @ 7:59 am

Continued from May 8
(Feast of Saint Robert Heinlein)

“Wells and trees were dedicated to saints.  But the offerings at many wells and trees were to something other than the saint; had it not been so they would not have been, as we find they often were, forbidden.  Within this double and intertwined life existed those other capacities, of which we know more now, but of which we still know little– clairvoyance, clairaudience, foresight, telepathy.”

— Charles Williams, Witchcraft, Faber and Faber, London, 1941

Why "Saint" Robert? See his accurate depiction of evil– the Eater of Souls in Glory Road.

For more on Williams's "other capacities," see Heinlein's story "Lost Legacy."

A related story– Fritz Leiber's "The Mind Spider." An excerpt:

The conference—it was much more a hyper-intimate
gabfest—proceeded.

"My static box bugged out for a few ticks this morning,"
Evelyn remarked in the course of talking over the
trivia of the past twenty-four hours.

The static boxes were an invention of Grandfather
Horn. They generated a tiny cloud of meaningless brain
waves. Without such individual thought-screens, there was
too much danger of complete loss of individual personality

—once Grandfather Horn had "become" his infant daughter
as well as himself for several hours and the unfledged
mind had come close to being permanently lost in its own
subconscious. The static boxes provided a mental wall be-
– hind which a mind could safely grow and function, similar
to the wall by which ordinary minds are apparently
always enclosed.

In spite of the boxes, the Horns shared thoughts and
emotions to an amazing degree. Their mental togetherness
was as real and as mysterious—and as incredible—as
thought itself . . . and thought is the original angel-cloud
dancing on the head of a pin. Their present conference
was as warm and intimate and tart as any actual family
gathering in one actual room around one actual table.
Five minds, joined together in the vast mental darkness
that shrouds all minds. Five minds hugged together for
comfort and safety in the infinite mental loneliness that
pervades the cosmos.

Evelyn continued, "Your boxes were all working, of
course, so I couldn't get your thoughts—just the blurs of
your boxes like little old dark grey stars. But this time
if gave me a funny uncomfortable feeling, like a spider
Crawling down my—Grayl! Don't feel so wildly! What
Is it?”

Then… just as Grayl started to think her answer…
something crept from the vast mental darkness and infinite
cosmic loneliness surrounding the five minds of the
Horns
.

Grayl was the first to notice. Her panicky thought had
ttie curling too-keen edge of hysteria. "There are six of
us now! There should only be five, but there are six.
Count! Count, I tell you! Six!"

To Mort it seemed that a gigantic spider was racing
across the web of their thoughts….

See also this journal on May 30– "720 in the Book"– and on May 31– "Memorial for Galois."

("Obnoxious nerds"— a phrase Martin Gardner recently applied to Galois— will note that 720 (= 6!) is one possible result of obeying Leiber's command "Count! Count, I tell you! Six!")

Sunday, May 30, 2010

720 in the Book

Filed under: General — Tags: — m759 @ 7:20 am

"Princeton's Baccalaureate service is an end-of-the-year ceremony focused on members of the senior class. It includes prayers and readings from various religious and philosophical traditions."

One such tradition— the TV series "Lost."

Another— the Pennsylvania Lottery—

Image-- PA lottery, May 5, 2010-- Midday 720, Evening 666

For some context,
see May 6, 2010.

See also this journal's post
"The Omen" on the date 6/6/6.

Thursday, May 6, 2010

Metamorphosis

Filed under: General — Tags: — m759 @ 1:06 pm

From Google yesterday —

A spring metamorphosis —
Google’s new look

5/05/2010 09:00:00 AM

Using Google today, you may have noticed that something feels slightly different — the look and feel of our search results have changed! Today’s metamorphosis responds to the increasing richness of the web and the increasing power of search — revealing search tools on the left and updating the visual look and feel throughout.

For example…

Everything and More

Image-- Google search for 'Oh, Euclid, I suppose'

A metaphor for "Everything"

Image--Chess game in Escher's 'Metamorphosis II'

A metaphor for "More" —

Image-- PA lottery, May 5, 2010-- Midday 720, Evening 666

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