I.e. (click to enlarge) —
Friday, November 16, 2018
The Transposed Squares
Wednesday, March 11, 2020
Visualizing Mathieu Group Generators
Update of March 17, 2020 —
The graphic images illustrate nicely Conder's six 4-cycles, but
their relationship, if any, to his eight 2-cycles is a mystery —
The Conder paper is at
https://core.ac.uk/download/pdf/82622574.pdf.
Wednesday, December 12, 2018
Kummerhenge Continues.
Those pleased by what Ross Douthat today called
"The Return of Paganism" are free to devise rituals
involving what might be called "the sacred geometry
of the Kummer 166 configuration."
As noted previously in this journal,
"The hint half guessed, the gift half understood, is Incarnation."
— T. S. Eliot in Four Quartets
See also earlier posts also tagged "Kummerhenge" and
another property of the remarkable Kummer 166 —
For some related literary remarks, see "Transposed" in this journal.
Some background from 2001 —
Friday, November 16, 2018
Parable of India
Thursday, September 28, 2017
The Last Word
Remarks suggested by the previous post —
From Jeremy Biles, "Introduction: The Sacred Monster," in (Fordham University Press, 2007, page 3) — Bataille’s insistent conjunction of the monstrous and the sacred is the subject of this book. Regarded by many as one of the most important thinkers of our time, and acknowledged as an important influence by such intellectuals as Michel Foucault, Julia Kristeva, Maurice Blanchot, and Jacques Derrida, Bataille produced a corpus of wide-ranging writings bearing the monstrous marks of the affective and intellectual contradictions he also sought to produce in his readers. In the following chapters, I will specify some of the ways in which Bataille evokes monstrosity to elicit in himself and his audience an experience of simultaneous anguish and joy—an experience that he calls sacred. In particular, Bataille is fascinated with the ‘‘left-hand’’ sacred. In contradistinction to its lucent and form-conferring ‘‘right-hand’’ counterpart, the left-hand sacred is obscure and formless—not transcendent, pure, and beneficent, but dangerous, filthy, and morbid. This sinister, deadly aspect of the sacred is at once embodied in, and communicated by, the monster. As we will see, it is in beholding the monster that one might experience the combination of ecstasy and horror that characterizes Bataille ’s notion of the sacred. The dual etymology of ‘‘monster’’ reveals that aspect of the sacred that enticed Bataille. According to one vein of etymological study, the Latin monstrum derives from monstrare (to show or display). The monster is that which appears before our eyes as a sign of sorts; it is a demonstration. But another tradition emphasizes a more ominous point. Deriving from monere (to warn), the monster is a divine omen, a portent; it heralds something that yet remains unexpected, unforeseeable—as a sudden reversal of fortune. In the writings of Bataille, the monster functions as a monstrance, putting on display the sinister aspect of the sacred that Bataille sees as the key to a ‘‘sovereign’’ existence. But in doing so the monster presents us with a portent of something that we cannot precisely foresee, but something that, Bataille claims, can be paradoxically experienced in moments of simultaneous anguish and ecstasy: death. |
See as well …
(Order of news items transposed for aesthetic effect.)
Monday, February 27, 2006
Monday February 27, 2006
Point Counter Point
From the Encyclopaedia Britannica, 11th Edition, 1911:
COUNTERPOINT (Lat. contrapunctus, “point counter point,” “note against note”)
“In music, the art happily defined by Sir Frederick Gore Ouseley as that ‘of combining’ melodies….
Double Counterpoint is a combination of melodies so designed that either can be taken above or below the other. When this change of position is effected by merely altering the OCTAVE (from Lat. octavus, eighth, octo, eight) of either or both melodies (with or without transposition of the whole combination to another KEY), the artistic value of the device is simply that of the raising of the lower melody to the surface. The harmonic scheme remains the same, except in so far as some of the chords are not in their fundamental position, while others, not originally fundamental, have become so. But double counterpoint may be in other intervals than the octave; that is to say, while one of the parts remains stationary, the other may be transposed above or below it by some interval other than an octave, thus producing an entirely different set of harmonies.”
biography of Aldous Huxley
and the entry below.
Related material:
A Contrapuntal Theme.