HELICOID
The helicoid,
after the plane and the catenoid,
is the third minimal surface to be known.
It was first discovered by Jean Baptiste Meusnier in 1776.
Its name derives from its similarity to the helix:
for every point on the helicoid there is a helix
contained in the helicoid which passes through that point.
Since it is considered that the planar range
extends through negative and positive infinity,
close observation shows the appearance of two parallel or mirror planes
in the sense that if the slope of one plane is traced,
the co-plane can be seen to be bypassed or skipped,
though in actuality
the co-plane is also traced
from the opposite perspective.
(Wikipedia)
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SYNCRETIC THINKING
Syncretic thinking is an an exercise in style-an alternative way of thinking
to Cartesianism and Hegelianism, or as for that Marxism
and
the general scientific discourse of the last ten centuries,
if not twenty-five.
Syncretic means several things.
The reasoning is always a flow of consciousness.
Argument A leads to argument B that leads to argument C
that may lead back to argument A but in the new context
of being brought back up by argument C.
The reasoning is circular but helicoidal, going up little by little.
Syncretic also means poetic in the sense that it associates words and sounds
in a flowing continuous rhythm of images and arguments
that build up a path to a conclusion
that is just one or two steps higher than the starting point.
No plain clear-cut deduction or syllogism.
Rhythm, sounds, images, concepts, facts are piled or strung up
to build a slow pilgrim’s progress towards a conclusion.
Syncretic lastly means that the facts and conclusions
are constantly dialecticized and seen with two edges:
“Gifts can be double-edged, serving the giver as well as the taker.”
Jacques Coulardeau
Université Paris Dauphine
Université Paris Dauphine
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Thelonious Monk- EPISTROPHY
Thelonius Monk’s
EPISTROPHY= a “composition
that works toward
every note being at once improvisational and intentional.”
“…the music listens to him.”
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IMPROVISATION IS THE SPONTANEOUS INTENTION
OF GETTING LOST AND FOUND,
CIRCULAR,
HELIOCOIDAL EXPLORATION.
MOVING FORWARD
WHILE
SPIRALING UP AND DOWN
AND
IN AND OUT/OUT AND IN,
MOVING FORWARD
IN ALL
DIMENSIONS
AT ONCE.
TIME AND SPACE IS CONFLATED AND EXPANDED.
HUMANITY AND DIVINITY IS DIVIDED AND UNIFIED.
SORROW TRAVELS TO JOY/JOY TRAVELS TO SORROW
WONDER MOVES TOWARD DISCOVERY/DISCOVERY MOVES TOWARD WONDER
HEART/RHYTHM/HEART
AWAKENINGS/AROUSAL/ACTION
CALL AND RESPONSE
BIRTH AND DEATH IS ONE.
THE ARTIST PLAYS WITH INTENTION.
INTENTION PLAYS WITH IMPROVISATION.
THE ARTIST PLAYS IMPROVISATION.
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CATHERINE L. JOHNSON 
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