Log24

Saturday, July 27, 2019

“Design Is How It Works.” — Steve Jobs

Filed under: General — Tags: — m759 @ 9:59 PM

Wednesday, November 22, 2017

“Design is how it works” — Steve Jobs

Filed under: General,Geometry — m759 @ 1:00 PM

News item from this afternoon —

Apple AI research on 'mapping systems'

The above phrase "mapping systems" suggests a review
of my own very different  "map systems." From a search
for that phrase in this journal —

Map Systems (decomposition of functions over a finite field)

See also "A Four-Color Theorem: Function Decomposition
Over a Finite Field.
"

Saturday, September 9, 2017

How It Works

Filed under: General,Geometry — Tags: — m759 @ 8:48 PM

Del Toro and the History of Mathematics ,
Or:  Applied Bullshit Continues

 

For del Toro


 

For the history of mathematics —

Thursday, September 1, 2011

How It Works

Filed under: Uncategorized — Tags:  — m759 @ 11:00 AM 

"Design is how it works." — Steven Jobs (See Symmetry and Design.)

"By far the most important structure in design theory is the Steiner system S(5, 8, 24)."
 — "Block Designs," by Andries E. Brouwer

. . . .

Wednesday, June 21, 2017

Design Is How It Works: A Bedtime Story

Filed under: General — m759 @ 9:48 PM

(Continued)

Monday, June 19, 2017

“Design Is How It Works”*

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

* See the title in this  journal.

Thursday, December 26, 2013

How It Works

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

(Continued)

“Design is how it works.” — Steve Jobs

“By far the most important structure in design theory
is the Steiner system S(5, 8, 24).”

— “Block Designs,” by Andries E. Brouwer (Ch. 14 (pp. 693-746),
Section 16 (p. 716) of Handbook of Combinatorics, Vol. I ,
MIT Press, 1995, edited by Ronald L. Graham, Martin Grötschel,
and László Lovász)

For some background on that Steiner system, see the footnote to
yesterday’s Christmas post.

Monday, January 23, 2012

How It Works

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

(Continued)

J. H. Conway in 1971 discussed the role of an elementary abelian group
of order 16 in the Mathieu group M24. His approach at that time was
purely algebraic, not geometric—

IMAGE- J. H. Conway in 1971 discussed the role of the elementary abelian group of order 16 in the Mathieu group M24. His approach then was purely algebraic, not geometric.

For earlier (and later) discussions of the geometry  (not the algebra )
of that order-16 group (i.e., the group of translations of the affine space
of 4 dimensions over the 2-element field), see The Galois Tesseract.

Thursday, September 1, 2011

How It Works

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

"Design is how it works." — Steven Jobs (See Symmetry and Design.)

"By far the most important structure in design theory is the Steiner system S(5, 8, 24)."
 — "Block Designs," by Andries E. Brouwer

IMAGE- Harvard senior thesis on Mathieu groups, 2010, and supporting material from book 'Design Theory'

The name Carmichael is not to be found in Booher's thesis. In a reference he does  give for the history of S(5,8,24), Carmichael's construction of this design is dated 1937. It should be dated 1931, as the following quotation shows—

From Log24 on Feb. 20, 2010

"The linear fractional group modulo 23 of order 24•23•11 is often represented as a doubly transitive group of degree 24 on the symbols ∞, 0, 1, 2,…, 22. This transitive group contains a subgroup of order 8 each element of which transforms into itself the set ∞, 0, 1, 3, 12, 15, 21, 22 of eight elements, while the whole group transforms this set into 3•23•11 sets of eight each. This configuration of octuples has the remarkable property that any given set of five of the 24 symbols occurs in one and just one of these octuples. The largest permutation group Γ on the 24 symbols, each element of which leaves this configuration invariant, is a five-fold transitive group of degree 24 and order 24•23•22•21•20•48. This is the Mathieu group of degree 24."

– R. D. Carmichael, "Tactical Configurations of Rank Two," in American Journal of Mathematics, Vol. 53, No. 1 (Jan., 1931), pp. 217-240

Epigraph from Ch. 4 of Design Theory , Vol. I:

"Es is eine alte Geschichte,
 doch bleibt sie immer neu
"
 —Heine (Lyrisches Intermezzo  XXXIX)

See also "Do you like apples?"

Sunday, November 18, 2018

Space Music

Filed under: General,Geometry — Tags: , , — m759 @ 9:27 AM

'The Eddington Song,' based on 'The Philosophy of Physical Science,' p. 141 (1939)

Update of Nov. 19 —

"Design is how it works." — Steve Jobs

See also www.cullinane.design.

Tuesday, September 12, 2017

Think Different

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

The New York Times  online this evening

"Mr. Jobs, who died in 2011, loomed over Tuesday’s
nostalgic presentation. The Apple C.E.O., Tim Cook,
paid tribute, his voice cracking with emotion, Mr. Jobs’s
steeple-fingered image looming as big onstage as
Big Brother’s face in the classic Macintosh '1984' commercial."

James Poniewozik 

Review —

Thursday, September 1, 2011

How It Works

Filed under: Uncategorized — Tags:  — m759 @ 11:00 AM 

"Design is how it works." — Steven Jobs (See Symmetry and Design.)

"By far the most important structure in design theory is the Steiner system S(5, 8, 24)."
 — "Block Designs," by Andries E. Brouwer

. . . .

See also 1984 Bricks in this journal.

Saturday, October 22, 2016

Magis

Filed under: General — m759 @ 11:00 AM

From "The Magis way: Notes on the publishing culture,"
by Giampiero Bosoni, at http://www.magisdesign.com/magis-world/ —

" perhaps it is interesting to reflect further on the relationship between a design object and a literary work, by reading (in whatever interpretative key you choose) the illuminating definition given by the great semiologist Roland Barthes of the act of writing and of the literary value of a text. 'Writing,' Barthes tells us, 'is historically an action that involves constant contradiction, based on dual expectations. One aspect of writing is essentially commercial, a means of control and segregation, steeped in the most materialistic aspect of society. The other is an act of pleasure, connected to the deepest urges of the body and to the subtlest and most successful products of art. This is how the written text is woven. All I have done is to arrange and reveal the threads. Now each can add his own warp to the weft.' [3]

Magis’ long and highly advanced experience has given evidence, further confirmed by this latest publishing catalogue, of an ever-growing awareness of this necessary interweaving between warp and weft, between the culture of craftsmanship and that of industry, between design culture and business culture, between form and technique, between symbolic codes and practical functions, between poetry and everyday life." 

— Giampiero Bosoni

[3] Barthes R., Variations sur l’écriture  (1972), Editions du Seuil, Paris 1994, published in the second volume of the Oeuvres complètes  1966-1975 (freely translated from the Italian translation, Variazioni sulla scrittura seguite da Il piacere del testo , Ossola C. (editor) Einaudi, Turin 1999).

See as well "Interweaving" in this journal.

"Design is how it works." — Steve Jobs

Sunday, December 27, 2015

Rigorous

Filed under: General,Geometry — Tags: , — m759 @ 5:05 AM

A death on Xmas Day

Artist Josefine Lyche

IMAGE- Josefine Lyche bowling, from her Facebook page

Symbol

Monday, November 7, 2011

The X Box

Filed under: Uncategorized — m759 @ 10:30 AM 

"Design is how it works." — Steve Jobs, quoted in
The New York Times Magazine  on St. Andrew's Day, 2003.

The X-Box Sum .

For some background on this enigmatic equation,
see Geometry of the I Ching.

Thursday, December 3, 2015

Design Wars

Filed under: General,Geometry — Tags: — m759 @ 4:04 PM

"… if your requirement for success is to be like Steve Jobs,
good luck to you." 

— "Transformation at Yahoo Foiled by Marissa Mayer’s 
Inability to Bet the Farm," New York Times  online yesterday

"Design is how it works." — Steve Jobs

Related material:  Posts tagged Ambassadors.
 

Sculpture by Josefine Lyche of Cullinane's eightfold cube at Vigeland Museum in Oslo

Sunday, February 15, 2015

Inside the White Square

Filed under: General,Geometry — m759 @ 10:18 AM

Review:

Monday, November 7, 2011

The X Box

Filed under: Uncategorized — m759 @ 10:30 AM 
 
"Design is how it works." — Steve Jobs, quoted in
The New York Times Magazine  on St. Andrew's Day, 2003.

The X-Box Sum .

For some background on this enigmatic equation,
see Geometry of the I Ching.

See also the phrase "a dance results" in the original
source and in yesterday's Valentine Dance.

Saturday, November 1, 2014

Not Saints

Filed under: General — m759 @ 1:00 PM

“We are not saints.” — Alcoholics Anonymous , Chapter 5

The New York Times  on AA’s co-founder Bill Wilson in 1934:

Click for the rest of the story.

Saturday, March 3, 2012

Decomposition

Filed under: General,Geometry — m759 @ 3:33 AM

A search tonight for material related to the four-color
decomposition theorem yielded the Wikipedia article
Functional decomposition.

The article, of more philosophical than mathematical
interest, is largely due to one David Fass at Rutgers.

(See the article's revision history for mid-August 2007.)

Fass's interest in function decomposition may or may not
be related to the above-mentioned theorem, which 
originated in the investigation of functions into the
four-element Galois field from a 4×4 square domain.

Some related material involving Fass and 4×4 squares—

A 2003 paper he wrote with Jacob Feldman—

(Click to enlarge.)

"Design is how it works." — Steve Jobs

An assignment for Jobs in the afterlife—

Discuss the Fass-Feldman approach to "categorization under
complexity" in the context of the Wikipedia article's
philosophical remarks on "reductionist tradition."

The Fass-Feldman paper was assigned in an MIT course
for a class on Walpurgisnacht 2003.

Monday, January 23, 2012

How Stuff Works

Filed under: General — m759 @ 3:48 PM

"Design is how it works." —Steve Jobs

Website logo—

IMAGE- Website logo- 'How Stuff Works: We figure it out so you don't have to'

Screenshot from How Stuff Works—

IMAGE- Christ in the Last Judgment, from 'How Stuff Works'

IMAGE- 'Apple's Mind-Bogglingly Greedy and Evil License Agreement'

(Click image for details.)

From "A Device Worthy of a Gothic Novel,"
Chapter XVI of The Club Dumas,
by Arturo Perez-Reverte (1993),
Vintage International, April 1998….
the basis of the 1999 Roman Polanski film
The Ninth Gate

Aren't you going to give me a document to sign?"
"A document?"
"Yes. It used to be called a pact. Now it would be a contract
with lots of small print, wouldn't it? 'In the event of litigation,
the parties are to submit to the jurisdiction of the courts of…'
That's a funny thing. I wonder which court covers this."

Saturday, December 31, 2011

The Uploading

Filed under: General,Geometry — Tags: — m759 @ 4:01 PM

(Continued)

"Design is how it works." — Steve Jobs

From a commercial test-prep firm in New York City—

http://www.log24.com/log/pix11C/111231-TeachingBlockDesign.jpg

From the date of the above uploading—

http://www.log24.com/log/pix11B/110708-ClarkeSm.jpg

After 759

m759 @ 8:48 AM
 

Childhood's End

From a New Year's Day, 2012, weblog post in New Zealand

http://www.log24.com/log/pix11C/111231-Pyramid-759.jpg

From Arthur C. Clarke, an early version of his 2001  monolith

"So they left a sentinel, one of millions they have scattered
throughout the Universe, watching over all worlds with the
promise of life. It was a beacon that down the ages has been
patiently signaling the fact that no one had discovered it.
Perhaps you understand now why that crystal pyramid was set…."

The numerical  (not crystal) pyramid above is related to a sort of
mathematical  block design known as a Steiner system.

For its relationship to the graphic  block design shown above,
see the webpages Block Designs and The Diamond Theorem
as well as The Galois Tesseract and R. T. Curtis's classic paper
"A New Combinatorial Approach to M24," which contains the following
version of the above numerical pyramid—

http://www.log24.com/log/pix11C/111231-LeechTable.jpg

For graphic  block designs, I prefer the blocks (and the parents)
of Grand Rapids to those of New York City.

For the barbed tail  of Clarke's "Angel" story, see the New Zealand post
of New Year's Day mentioned above.

Monday, December 12, 2011

X o’ Jesus

Filed under: General,Geometry — m759 @ 2:56 PM

Religion for stoners, in memory of Horselover Fat

Amazon.com gives the publication date of a condensed
version* of Philip K. Dick's Exegesis  as Nov. 7, 2011.

The publisher gives the publication date as Nov. 8, 2011.

Here, in memory of the author, Philip K. Dick (who sometimes
called himself, in a two-part pun, "Horselover Fat"), is related
material from the above two dates in this  journal—

Tuesday, November 8, 2011

Stoned

m759 @ 12:00 PM 

…. Update of 9:15 PM Nov. 8, 2011—

From a search for the word "Stoned" in this journal—

Sunday, January 2, 2011

 

A Universal Form

m759 @ 6:40 PM

Simon Critchley today in the New York Times  series "The Stone"—

Philosophy, among other things, is that living activity of critical reflection in a specific context, by which human beings strive to analyze the world in which they find themselves, and to question what passes for common sense or public opinion— what Socrates called doxa— in the particular society in which they live. Philosophy cuts a diagonal through doxa. It does this by raising the most questions of a universal form: “What is X?”

Actually, that's two diagonals. See Kulturkampf at the Times  and Geometry of the I Ching .

[Here the "Stoned" found by the search
was the title of Critchley's piece, found in its URL—
"http://opinionator.blogs.nytimes.com/2011/01/02/stoned/ ."]

See also Monday's post "The X Box" with its illustration

http://www.log24.com/log/pix11C/111107-XBoxSum.bmp .


Monday, November 7, 2011

The X Box

m759 @ 10:30 AM 

"Design is how it works." — Steve Jobs, quoted in
 The New York Times Magazine  on St. Andrew's Day, 2003

http://www.log24.com/log/pix11C/111107-XBoxSum.bmp .

For some background on this enigmatic equation,
see Geometry of the I Ching.

 

Merry Xmas.

See also last night's post and the last words of Steve Jobs.

* Houghton Mifflin Harcourt, the publisher, has, deliberately or not, sown confusion
    about whether this is only the first of two volumes.

Sunday, December 11, 2011

Nine is a Vine

Filed under: General,Geometry — m759 @ 9:00 PM

"We need a Steve Jobs of religion." — Eric Weiner

http://www.log24.com/log/pix11A/110425-Wiig-CockAndBullStory.jpg

"Design is how it works." — Steve Jobs

http://www.log24.com/log/pix11C/111127-Ong-PresenceOfTheWord.jpg

Saturday, December 3, 2011

Blockheads

Filed under: General,Geometry — m759 @ 7:20 PM

(Continued from earlier posts.)

http://www.log24.com/log11/saved/111203-BigApple_WithWorm-360w.jpg

See the online New York Times  on November 27—

With Blocks, Educators Go Back to Basics

— and related letters, online today—

The Building Blocks of Education

Another back-to-basics illustration—

http://www.log24.com/log11/saved/111203-SnakeApple.jpg

"Design is how it works."
— Steve Jobs

See also the designer of the above Big  apple

“I’m fascinated with how past designers
had to come up with ideas
and solve problems using limited resources.”

Mikey Burton

Monday, November 7, 2011

The X Box

Filed under: General,Geometry — m759 @ 10:30 AM

"Design is how it works." — Steve Jobs, quoted in
 The New York Times Magazine  on St. Andrew's Day, 2003

The X-Box Sum .

For some background on this enigmatic equation,
see Geometry of the I Ching.

Sunday, November 6, 2011

Design Sermon

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

''Most people make the mistake of thinking design is what it looks like,''
says Steve Jobs, Apple's C.E.O. ''People think it's this veneer—
that the designers are handed this box and told, 'Make it look good!'
That's not what we think design is. It's not just what it looks like and feels like.
Design is how it works.''

— "The Guts of a New Machine," by Rob Walker,
New York Times Magazine , Sunday, Nov. 30, 2003

IMAGE- June 29, 2011, review of Zenna Henderson's 'The Anything Box'

See also, from the day of the above Anything Box  review—
St. Peter's Day, 2011— two Log24 posts—
The Shattered Mind and Rome After Dark.

Related boxes… Cosmic Cube and Design Cube.

Thursday, November 3, 2011

Ockham’s Bubbles–

Filed under: General,Geometry — m759 @ 10:30 AM

Mathematics and Narrative, continued

"… a vision invisible, even ineffable, as ineffable as the Angels and the Universal Souls"

— Tom Wolfe, The Painted Word , 1975, quoted here on October 30th

"… our laughable abstractions, our wryly ironic po-mo angels dancing on the heads of so many mis-imagined quantum pins."

— Dan Conover on September 1st, 2011

"Recently I happened to be talking to a prominent California geologist, and she told me: 'When I first went into geology, we all thought that in science you create a solid layer of findings, through experiment and careful investigation, and then you add a second layer, like a second layer of bricks, all very carefully, and so on. Occasionally some adventurous scientist stacks the bricks up in towers, and these towers turn out to be insubstantial and they get torn down, and you proceed again with the careful layers. But we now realize that the very first layers aren't even resting on solid ground. They are balanced on bubbles, on concepts that are full of air, and those bubbles are being burst today, one after the other.'

I suddenly had a picture of the entire astonishing edifice collapsing and modern man plunging headlong back into the primordial ooze. He's floundering, sloshing about, gulping for air, frantically treading ooze, when he feels something huge and smooth swim beneath him and boost him up, like some almighty dolphin. He can't see it, but he's much impressed. He names it God."

— Tom Wolfe, "Sorry, but Your Soul Just Died," Forbes , 1996

"… Ockham's idea implies that we probably have the ability to do something now such that if we were to do it, then the past would have been different…"

Stanford Encyclopedia of Philosophy

"Today is February 28, 2008, and we are privileged to begin a conversation with Mr. Tom Wolfe."

— Interviewer for the National Association of Scholars

From that conversation—

Wolfe : "People in academia should start insisting on objective scholarship, insisting  on it, relentlessly, driving the point home, ramming it down the gullets of the politically correct, making noise! naming names! citing egregious examples! showing contempt to the brink of brutality!"

As for "mis-imagined quantum pins"…
This 
journal on the date of the above interview— February 28, 2008

http://www.log24.com/log/pix08/080228-Wooters2.jpg

Illustration from a Perimeter Institute talk given on July 20, 2005

The date of Conover's "quantum pins" remark above (together with Ockham's remark above and the above image) suggests a story by  Conover, "The Last Epiphany," and four posts from September 1st, 2011—

BoundaryHow It WorksFor Thor's Day,  and The Galois Tesseract.

Those four posts may be viewed as either an exploration or a parody of the boundary between mathematics and narrative.

"There is  such a thing as a tesseract." —A Wrinkle in Time

Sunday, October 9, 2011

Beautiful Failure

Filed under: General — Tags: — m759 @ 3:57 AM

"Design is how it works." — Steven Jobs

A comment on the life of Jobs —

Paola Antonelli, curator of 'Design and the Elastic Mind' at MoMA

Paola Antonelli
Photo Credit: Andrea Ciotti

Paola Antonelli, senior curator of architecture and design
at the Museum of Modern Art in New York—

NeXT was a risk and a beautiful failure."

Related material—

What’s NeXT?

http://www.log24.com/log/pix11C/111006-NeXT-logo.jpg

and 2008 posts of

 May 8May 9, and May 10.

"Math class is  tough, Barbie."

Thursday, August 25, 2011

Design

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

"Design is how it works." — Steven Jobs (See yesterday's Symmetry.)

Today's American Mathematical Society home page—

IMAGE- AMS News Aug. 25, 2011- Aschbacher to receive Schock prize

Some related material—

IMAGE- Aschbacher on the 2-local geometry of M24

IMAGE- Paragraph from Peter Rowley on M24 2-local geometry

The above Rowley paragraph in context (click to enlarge)—

IMAGE- Peter Rowley, 2009, 'The Chamber Graph of the M24 Maximal 2-Local Geometry,' pp. 120-121

"We employ Curtis's MOG
 both as our main descriptive device and
 also as an essential tool in our calculations."
— Peter Rowley in the 2009 paper above, p. 122

And the MOG incorporates the
Geometry of the 4×4 Square.

For this geometry's relation to "design"
in the graphic-arts sense, see
Block Designs in Art and Mathematics.

Wednesday, August 24, 2011

Symmetry

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

An article from cnet.com tonight —

For Jobs, design is about more than aesthetics

By: Jay Greene  

… The look of the iPhone, defined by its seamless pane of glass, its chrome border, its perfect symmetry, sparked an avalanche of copycat devices that tried to mimic its aesthetic.

Virtually all of them failed. And the reason is that Jobs understood that design wasn't merely about what a product looks like. In a 2003 interview with the New York Times' Rob Walker detailing the genesis of the iPod,  Jobs laid out his vision for product design.

''Most people make the mistake of thinking design is what it looks like,'' Jobs told Walker. "People think it's this veneer— that the designers are handed this box and told, 'Make it look good!' That's not what we think design is. It's not just what it looks like and feels like. Design is how it works.''

Related material: Open, Sesame Street  (Aug. 19) continues… Brought to you by the number 24

"By far the most important structure in design theory is the Steiner system S(5, 8, 24)."

— "Block Designs," by Andries E. Brouwer (Ch. 14 (pp. 693-746) of Handbook of Combinatorics , Vol. I, MIT Press, 1995, edited by Ronald L. Graham, Martin Grötschel, and László Lovász, Section 16 (p. 716))

Saturday, February 16, 2008

Saturday February 16, 2008

Filed under: General,Geometry — m759 @ 9:29 AM
Bridges
Between Two Worlds


From the world of mathematics…


“… my advisor once told me, ‘If you ever find yourself drawing one of those meaningless diagrams with arrows connecting different areas of mathematics, it’s a good sign that you’re going senile.'”

— Scott Carnahan at Secret Blogging Seminar, December 14, 2007

Carnahan’s remark in context:

“About five years ago, Cheewhye Chin gave a great year-long seminar on Langlands correspondence for GLr over function fields…. In the beginning, he drew a diagram….

If we remove all of the explanatory text, the diagram looks like this:

CheeWhye Diagram

I was a bit hesitant to draw this, because my advisor once told me, ‘If you ever find yourself drawing one of those meaningless diagrams with arrows connecting different areas of mathematics, it’s a good sign that you’re going senile.’ Anyway, I’ll explain roughly how it works.

Langlands correspondence is a ‘bridge between two worlds,’ or more specifically, an assertion of a bijection….”

Compare and contrast the above…

… to the world of Rudolf Kaehr:

Rudolf Kaehr on 'Diamond Structuration'

The above reference to “diamond theory” is from Rudolf Kaehr‘s paper titled Double Cross Playing Diamonds.

Another bridge…

Carnahan’s advisor, referring to “meaningless diagrams with arrows connecting different areas of mathematics,” probably did not have in mind diagrams like the two above, but rather diagrams like the two below–

From the world of mathematics

Relationship of diamond theory to other fields

“A rough sketch of
how diamond theory is
related to some other
fields of mathematics”
— Steven H. Cullinane

… to the world of Rudolf Kaehr:

Relationship of PolyContextural Logic (PCL) to other fields

Related material:

For further details on
the “diamond theory” of
Cullinane, see

Finite Geometry of the
Square and Cube
.

For further details on
the “diamond theory” of
Kaehr, see

Rudy’s Diamond Strategies.

Those who prefer entertainment
may enjoy an excerpt
from Log24, October 2007:

“Do not let me hear
Of the wisdom
of old men,
but rather of
their folly”
 
Four Quartets   

Anthony Hopkins in 'Slipstream'

Anthony Hopkins
in the film
Slipstream

Anthony Hopkins  
in the film “Proof“–

Goddamnit, open
the goddamn book!
Read me the lines!

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