The review suggested above contained an excerpt from the
April 1994 Dartmouth Magazine —
I encountered this some time ago in a search related to
Ripon College and math. The Poe-and-Finite-Math
combination from Dartmouth was memorable.
The review suggested above contained an excerpt from the
April 1994 Dartmouth Magazine —
I encountered this some time ago in a search related to
Ripon College and math. The Poe-and-Finite-Math
combination from Dartmouth was memorable.
One year ago here . . .
From Yeats's sequel to "Sailing to Byzantium,"
titled simply "Byzantium" —
Astraddle on the dolphin's mire and blood,
Spirit after spirit! The smithies break the flood,
The golden smithies of the Emperor!
Marbles of the dancing floor
Break bitter furies of complexity,
Those images that yet
Fresh images beget,
That dolphin-torn, that gong-tormented sea.
The New York Times asks above,
"Are art and science forever divided?
Or are they one and the same?"
A poet's approach . . .
“The old man of ‘Sailing to Byzantium’ imagined the city’s power
as being able to ‘gather’ him into ‘the artifice of eternity’—
presumably into ‘monuments of unageing intellect,’ immortal and
changeless structures representative of or embodying all knowledge,
linked like a perfect machine at the center of time.”
— Karl Parker, Yeats’ Two Byzantiums
A mathematician's approach . . .
Compare and contrast the 12-dimensional extended binary Golay code
with the smaller 8-dimensional code below, which also has minimum
weight 8 . . .
From Sept. 20, 2022 —
Perhaps someone can prove there is no way that adding more generating
codewords can turn the cube-motif code into the Golay code, or perhaps
someone can supply such generating codewords.
See also other posts tagged Farago in this journal.
(A prequel to Galois Field of Dreams)
The opening of Descartes' Dream ,
by Philip J. Davis and Reuben Hersh—
"The modern world,
our world of triumphant rationality,
began on November 10, 1619,
with a revelation and a nightmare."
For a revelation, see Battlefield Geometry.
For a nightmare, see Joyce's Nightmare.
Some later work of Descartes—
From "What Descartes knew of mathematics in 1628,"
by David Rabouin, CNRS-Univ. Paris Diderot,
Historia Mathematica , Volume 37, Issue 3,
Contexts, emergence and issues of Cartesian geometry,
August 2010, pages 428–459 —
Fig. 5. How to represent the difference between white, blue, and red
according to Rule XII [from Descartes, 1701, p. 34].
The 4×4 array of Descartes appears also in the Battlefield Geometry posts.
For its relevance to Galois's field of dreams, see (for instance) block designs.
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