art and mathematics
The Mock Turtle replied: "and then the different
branches of Arithmetic -Ambition, Distraction, Uglification, and
Derision."
(Alice's Adventures in Wonderland, Lewis Caroll)
{ abstraction.geometry.mathematics } related artists:
-
(precursors)
27,000 bpe: double helix algorithm known at dolni vestonice, 19,000
bpe: at lascaux, 5,000 bpe in ancient egypt. 300 bpe in renaissance
europe, leonardo da vinci.
80 bpe, wassily kandinsky, paul klee, the bauhaus, kazimir malevich,
the constructivists
-
(de stijl 1917-1931)
vilmos huszar, el lissitzky, piet mondrian, bart van der leck, theo
van doesburg, georges vantongerloo
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(abstraction-creation 1931-1936)
jean (hans) arp, max bill (Concrete Art),
theo van doesburg, cesar domela, naum gabo, barbara hepworth,
herbin, frantisek kupka, piet mondrian, henry moore, moholy-nagy,
antoine pevsner, man ray, kurt schwitters, sophie tauber-arp, georges
vantongerloo
-
(abstraction.geometry.painting, selected geometric
painting in america since 1945 [a 1989 exhibit])
josef albers, richard anuszkiewicz, jo baer, ilya bolotowsky, gene
davis, burgoyne diller, fritz glarner, peter halley, al held, ellsworth
kelly, john mclaughlin, robert mangold, brice marden, agnes
martin, john m. miller, kenneth noland, david novros, larry
poons, ad reinhardt, dorothea rockburne, ludwig sander, leon polk
smith, frank stella, myron stout, charmion von wiegand
-
(others)
anni albers, norman dilworth, m.c. escher, vera molnar, francois
morellet, frei otto, david saunders.
-
(90's to date)
helaman ferguson, georges w. hart,
manfred mohr.
See Angela Vierling's page: Mathematical
Models and Modern Art
Umberto Eco: "how to Write an Introduction to an Art
Catalog?"
"this solution creates new prestige --for the WIAC, for
prosciuttini, for the dealer, for the purchaser...
if the WIAC has a scientific background his task is much easier. he can
begin with the conviction (correct, as it happens) that a picture, too,
is an element of Reality; then all he has to do is talk about the
profundities of reality and, no matter what he says, he will not be
lying. for example: 'prosciuttini's triangles are graph. propositional
functions of concrete typologies. knots. how to proceed from knot u
to another knot? as everyone knows, an evaluating function f is
required, and if, for every other knot v != u
considered, f(u) appears less than or equal to f(v), it
is necessary to 'develop' u, in the sense of generating knots
that descend from u. a perfect function of evaluation will then
fulfill the conditions f(u) less than or equal to f(v),
so that d(u,q) is then inferior or equal to d(v,q), where
(obviously) d(a,b) is the distance between a and b
in the graph. art is mathematics. this is what prosciuttini is telling
us."
from "how to Write an Introduction to an Art Catalog", by
Umberto Eco (in "how to travel with a salmon", Harcourt,
Brace & Co. 1994)
readings of related interests:
-
Abstraction and Empathy. Wilhelm Woringer (1907).
-
The Spiritual Harmony in Art. Kandinsky (1912).
-
Mathematics and Abstract Art. Christian Zervos
(1936).
-
Fifteen Variations on a
Single Theme. Max Bill (1938).
-
The Mathematical Approach in
Contemporary Art. Max Bill (1949).
-
Curvilinear Perspective. (...).
-
Vision + Value Series (six volumes). Gyorgy Kepes
(1965).
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Metamagical Thema. Douglas Hofstadter (1985)
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Tilings and Patterns.
Grunbaum / Shephard (1986).
-
A Topological Picturebook. Georges Francis (1987).
-
On Knots. Louis
Kauffman (1987).
-
Fields, Planes, Systems: Geometric Abstract Painting
in America since 1945. Michael Auping (1989).
-
The Visual Mind. Art and Mathematics. Michele Emmer
(1993).
-
Helaman Ferguson. Mathematics in Stone and Bronze.
Claire Ferguson (1994).
-
One Hundred Views of a
Single Theme. Jean-Pierre Hébert
(1998).
related sites: