Lovasz « Search Results

Sunday, June 20, 2010

Lovasz Wins Kyoto Prize

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

KYOTO, Japan, Jun 18, 2010 (BUSINESS WIRE) — The non-profit Inamori Foundation (President: Dr. Kazuo Inamori) today announced that Dr. Laszlo Lovasz will receive its 26th annual Kyoto Prize in Basic Sciences, which for 2010 focuses on the field of Mathematical Sciences. Dr. Lovasz, 62, a citizen of both Hungary and the United States, will receive the award for his outstanding contributions to the advancement of both the academic and technological possibilities of the mathematical sciences.

Dr. Lovasz currently serves as both director of the Mathematical Institute at Eotvos Lorand University in Budapest and as president of the International Mathematics Union. Among many positions held throughout his distinguished career, Dr. Lovasz also served as a senior research member at Microsoft Research Center and as a professor of computer science at Yale University.

Related material: Cube Space, 1984-2003.

See also “Kyoto Prize” in this journal—

The Kyoto Prize is “administered by the Inamori Foundation, whose president, Kazuo Inamori, is founder and chairman emeritus of Kyocera and KDDI Corporation, two Japanese telecommunications giants.”

— – Montreal Gazette, June 20, 2008

Wittgenstein and Fly from Fly-Bottle

Fly from Fly Bottle

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Friday, October 13, 2023

Hungarian Puzzle

Filed under: General — Tags: Artbox — m759 @ 8:25 pm

See "Cube Space" + Lovasz.

This search was suggested by . . .

The conclusion of Solomon Golomb's
"Rubik's Cube and Quarks,"
American Scientist , May-June 1982 —

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Monday, September 13, 2021

Cube Space Revisited

Filed under: General — Tags: Cube School, Matrix 4, Packing, QDOS, Structural Metaphors — m759 @ 3:02 pm

The above Quanta article mentions

"Maryna Viazovska’s 2016 discovery of the most efficient
ways of packing spheres in dimensions eight and 24."

From a course to be taught by Viazovska next spring:

The Lovasz reference suggests a review of my own webpage
Cube Space, 1984-2003.

See as well a review of Log24 posts on Packing.

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Wednesday, July 15, 2020

Category Theory

Filed under: General — m759 @ 3:00 am

A related quotation:

“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))

See also the webpage Block Designs in Art and Mathematics
and Log24 posts tagged Plastic Elements.

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Wednesday, October 24, 2018

Shadowlands

Filed under: General — Tags: Cube School, Pathmark, The Path — m759 @ 4:38 am

The previous post suggests a review.

Following the above reference to March 30, 2016 —

Following the above reference to Lovasz —

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Wednesday, April 6, 2016

Global Game

Filed under: General — m759 @ 9:06 pm

Seymour Lazar, Flamboyant Entertainment Lawyer, Dies at 88

The New York Times this evening has an obituary for Seymour Lazar,
"Seymour the Head in Supermoney , George Goodman’s 1972 account
of the global financial game, written under the pen name Adam Smith."

From that obituary —

"It was in Cuernavaca that Mr. Goodman, quite skeptical of the Lazar lore
he had heard so much of, met the man behind the myth. 'Seymour was
real,' he wrote…."

As is the Hungarian algorithm.

Mr. Lazar reportedly died on March 30. This journal on that date —

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Wednesday, March 30, 2016

Hungarian Algorithm

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

“Of all the Hungarian friends I’ve ever had…
I can’t remember one who didn’t want me to think of him…
as a king of con men.”

” ‘The omelet, you know that, don’t you? Sure. It’s a classic.
An omelet, it’s in our Hungarian cookbook.
“To make an omelet,” it says… “first, steal an egg.” ‘ ”

— Orson Welles, in his last completed film.

Thursday, December 26, 2013

How It Works

Filed under: General,Geometry — Tags: Cube School, Objects of Beauty — 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.

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Thursday, January 24, 2013

Cube Space

Filed under: General — Tags: Cube School, Geometric Theology, on130124 — m759 @ 12:24 pm

For the late Cardinal Glemp of Poland,
who died yesterday, some links:

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Tuesday, June 26, 2012

Bright Black

Filed under: General,Geometry — Tags: Cube School, Looking Deeply — m759 @ 12:12 am

“‘In the dictionary next to [the] word “bright,” you should see Paula’s picture,’ he said. ‘She was super smart, with a sparkling wit. … She had a beautiful sense of style and color.'”

— Elinor J. Brecher in The Miami Herald on June 8, quoting Palm Beach Post writer John Lantigua on the late art historian Paula Hays Harper

This journal on the date of her death—

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

For some simpleminded commentary, see László Lovász on the cube space.

Some less simpleminded commentary—

“Was ist Raum, wie können wir ihn
erfassen und gestalten?”

Walter Gropius,

The Theory and
Organization of the
Bauhaus (1923)

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Monday, June 21, 2010

1984 Story (continued)

Filed under: General,Geometry — Tags: Cube School — m759 @ 7:00 pm

This journal’s 11 AM Sunday post was “Lovasz Wins Kyoto Prize.” This is now the top item on the American Mathematical Society online home page—

Click to enlarge.

For more background on Lovasz, see today’s
previous Log24 post, Cube Spaces, and also
Cube Space, 1984-2003.

“If the Party could thrust its hand into the past and
… say of this or that event, it never happened….”

— George Orwell, 1984

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Cube Spaces

Filed under: General,Geometry — Tags: Appropriation, Change in China, Cube School, Eightfold Cube, Groups and Spaces, Interplay — m759 @ 11:30 am

Cubic models of finite geometries
display an interplay between
Euclidean and Galois geometry.

Example 1— The 2×2×2 Cube—

also known as the eightfold cube—

2x2x2 cube

Group actions on the eightfold cube, 1984—

Version by Laszlo Lovasz et al., 2003—

Lovasz et al. go on to describe the same group actions
as in the 1984 note, without attribution.

Example 2— The 3×3×3 Cube

A note from 1985 describing group actions on a 3×3 plane array—

Undated software by Ed Pegg Jr. displays
group actions on a 3×3×3 cube that extend the
3×3 group actions from 1985 described above—

Pegg gives no reference to the 1985 work on group actions.

Example 3— The 4×4×4 Cube

A note from 27 years ago today—

As far as I know, this version of the
group-actions theorem has not yet been ripped off.

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Monday, December 8, 2008

Monday December 8, 2008

Filed under: General — Tags: Cube School — m759 @ 10:12 am

An Indiana Jones Xmas
continues…

Chalice, Grail,
Whatever

Last night on TNT:
The Librarian Part 3:
Curse of the Judas Chalice,
in which The Librarian
encounters the mysterious
Professor Lazlo

Related material:

An Arthur Waite quotation
from the Feast of St. Nicholas:

“It is like the lapis exilis of
the German Graal legend”

as well as
yesterday’s entry
relating Margaret Wertheim’s
“Pearly Gates of Cyberspace:
A History of Space from
Dante to the Internet”
to a different sort of space–
that of the I Ching— and to
Professor Laszlo Lovasz’s
“cube space”

“Click on the Yellow Book.”

Happy birthday, David Carradine.

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Friday, October 24, 2008

Friday October 24, 2008

Filed under: General,Geometry — Tags: Cube School, Eightfold Cube, Springer — m759 @ 8:08 am

“The Cube Space” is a name given to the eightfold cube in a vulgarized mathematics text, Discrete Mathematics: Elementary and Beyond, by Laszlo Lovasz et al., published by Springer in 2003. The identification in a natural way of the eight points of the linear 3-space over the 2-element field GF(2) with the eight vertices of a cube is an elementary and rather obvious construction, doubtless found in a number of discussions of discrete mathematics. But the less-obvious generation of the affine group AGL(3,2) of order 1344 by permutations of parallel edges in such a cube may (or may not) have originated with me. For descriptions of this process I wrote in 1984, see Diamonds and Whirls and Binary Coordinate Systems. For a vulgarized description of this process by Lovasz, without any acknowledgement of his sources, see an excerpt from his book.

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