From posts tagged “The Empty Quarter” —
Related tune suggested today by Peter J. Cameron —
The Beatles, “I Me Mine,” from the “Let It Be” album.
That album, and an image from Log24 on Feb. 23 —
Saturday, February 27, 2021
Tuesday, July 6, 2010
Window, continued
| “Simplicity, simplicity, simplicity! I say, let your affairs be as two or three, and not a hundred or a thousand; instead of a million count half a dozen, and keep your accounts on your thumb-nail.” — Henry David Thoreau, Walden This quotation is the epigraph to |
From Peter J. Cameron’s review notes for
his new course in group theory—
From Log24 on June 24—
Geometry Simplified
(an affine space with subsquares as points
and sets of subsquares as hyperplanes)
(a projective space with, as points, sets
of line segments that separate subsquares)
Exercise—
Show that the above geometry is a model
for the algebra discussed by Cameron.
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Saturday, August 6, 2005
Saturday August 6, 2005
The Fugue
"True joy is a profound remembering, and true grief is the same.
Thus it was, when the dust storm that had snatched Cal up finally died, and he opened his eyes to see the Fugue spread out before him, he felt as though the few fragile moments of epiphany he'd tasted in his twenty-six years– tasted but always lost– were here redeemed and wed. He'd grasped fragments of this delight before. Heard rumour of it in the womb-dream and the dream of love; known it in lullabies. But never, until now, the whole, the thing entire.
It would be, he idly thought, a fine time to die.
And a finer time still to live, with so much laid out before him."
Weaveworld,
Book Three:
Out of the
Empty Quarter
"The wheels of its body rolled,
the visible mathematics
of its essence turning on itself…."
From Friday:
For the meaning
of this picture, see
Geometry of the
4×4 Square.
For graphic designs
based on this geometry,
see Theme and Variations
and Diamond Theory.
For these designs in the
context of a Bach fugue,
see Timothy A. Smith's
essay (pdf) on
Fugue No. 21 in B-Flat Major
from Book II of
The Well-Tempered Clavier
by Johann Sebastian Bach.
Smith also offers a
Shockwave movie
that uses diamond theory
to illustrate this fugue.
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Friday, August 5, 2005
Friday August 5, 2005
For Sir Alec
From Elegance:
"Philosophers ponder the idea of identity: what it is to give something a name on Monday and have it respond to that name on Friday…."
— Bernard Holland, page C12,
The New York Times,
Monday, May 20, 1996.
Holland was pondering the identity of the Juilliard String Quartet, which had just given a series of concerts celebrating its fiftieth anniversary.
"Elegant"
— Page one,
The New York Times,
Monday, August 7, 2000.
The Times was describing the work of Sir Alec Guinness, who died on 8/5/00.
An example of the Holland name problem:
Monday, August 1, 2005 — Visible Mathematics:
"Earlier, there had been mapping projects in Saudi Arabia's Rub' al-Khali, the Empty Quarter in the south and west of the country….
'"Empty" is a misnomer… the Rub' al-Khali contains many hidden riches.'"
Friday, August 5, 2005 —
Related material:
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Monday, August 1, 2005
Monday August 1, 2005
Visible Mathematics
"Earlier, there had been mapping projects in Saudi Arabia's Rub' al-Khali, the Empty Quarter in the south and west of the country….
'"Empty" is a misnomer… the Rub' al-Khali contains many hidden riches.'"
— Maps from the Sky,
Saudi Aramco World, March/April 1995
|
From Weaveworld
Book Three: |