Log24

Monday, December 14, 2015

The Forking

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

From the previous post:

"Neat, Dr. Walker, thought Peter Slater—
neat, and totally without content."

— Paul Preuss's 1983 novel Broken Symmetries

A background check yields

"Dr. Evan Harris Walker died on the evening of
August 17, 2006…."

A synchronicity check of that date in this journal yields a diagram
that, taken by itself, is "neat, and totally without content." —

The image “http://www.log24.com/log/pix06A/060817-Tree.jpg” cannot be displayed, because it contains errors.

The diagram may be viewed as a tribute
to the late Yogi Berra, to the literary
"Garden of Forking Paths," or, more
seriously, to the modular group Γ.

Sunday, March 22, 2015

The Forking (continued)

Filed under: General — Tags: — m759 @ 12:18 PM

IMAGE- Definition of 'forking' at GitHub

A film —

A weblog post —

Friday, March 20, 2015

The Forking

Filed under: General — m759 @ 10:02 PM

(Continued)

An article in the new April issue of Notices of the American
Mathmatical Society 
suggests a search for connections
between the Calkin-Wilf tree and the modular group.

The search yields, for instance (in chronological order)

"Cutting sequences for geodesic flow on the modular surface
and continued fractions
," David J. Grahinet, Jeffrey C. Lagaria,
arXiv, 2 April 2001

"Orderings of the rationals and dynamical systems,"
Claudio Bonanno, Stefano Isola, arXiv, 14 May 2008.

"Periods of negative-regular continued fractions. Rational numbers."
Sergey Khrushchev and Michael Tyaglov, slides PDF, 11 Sept. 2012

"The Minkowski ?(x) function, a class of singular measures,
theta-constants, and mean-modular forms
," Giedrius Alkauskas,
arXiv, 20 Sept. 2012

"Forests of complex numbers,"
Melvyn B. Nathanson, arXiv, 1 Dec. 2014

Update of March 21, 2015:

For many more related papers, search by combining the
phrase "modular group" with phrases denoting forking structures
other than Calkin-Wilf, such as "cubic tree," "Stern-Brocot tree,"
and "Farey tree" (or "Farey sequence" or "Farey series" or
"Farey graph" ).

Thursday, February 26, 2015

The Forking

Filed under: General — m759 @ 6:29 PM

Saturday, October 19, 2013

The Forking

Filed under: General — Tags: , — m759 @ 12:00 PM

(Continued)

The image “http://www.log24.com/log/pix06A/060817-Tree.jpg” cannot be displayed, because it contains errors.

The above figure is from “Special Topics,”
a post of August 17, 2006.  That post
contains the phrase

 a scholar at a Jesuit university.

James Joyce, the author discussed in
last night’s Green October post, might
be pleased to find there are still such
scholars.

Wednesday, September 21, 2011

The Forking

Filed under: General — m759 @ 10:16 PM

"When you come to a fork in the road, take it." — Yogi Berra

http://www.log24.com/log/pix11B/110921-NYlotteryEvening.jpg

This evening's NY Lottery numbers were 375 and 3141.

Subjective interpretations—

There seems to be only one relevant result of a Google search for "375 Log24"—

http://www.log24.com/log/pix11B/110921-Search-375-Log24.jpg

There are, however, two  relevant interpretations of the number 3141—

1. The Saturday Evening Post  3/1/41 article by Jack Alexander on AA—

"The members of Alcoholics Anonymous do not pursue or coddle
a malingering prospect, and they know the strange tricks of the alcoholic
as a reformed swindler knows the art of bamboozling."

2. Post number 3141 in this  journal— Aesthetics for Jesuits.

Monday, April 27, 2015

The Beast from Hell’s Kitchen

Filed under: General — m759 @ 9:40 AM

A comment on the Scholarly Kitchen  piece from
this morning's previous post —

This suggests

The Beast from Hell's Kitchen

For some thoughts on mapping trees into
linear arrays, see The Forking (March 20, 2015).

See also Pitchfork in this journal.

Wednesday, September 1, 2010

September Morn

Filed under: General,Geometry — m759 @ 7:59 AM

For Alyssa Milano —

http://www.log24.com/log/pix10B/100901-MilanoFork.jpg

The Forking

(Click here for cheesy Neil Diamond background music.)

For some related philosophical remarks, see Deconstructing Alice

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

and the new Pythagorean thriller The Thousand.

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