“ the ancients used gods” le savant n’ étudie pas la nature parce que cela est utile; il...
TRANSCRIPT
“The ancients used gods”
Le savant n’ étudie pas la nature parce que cela est utile; il l’étudie parce qu’il y prend plaisir et il y prend plaisir parce qu’elle belle. Si la nature n’ était pas belle, elle ne vaudrait pas la peine d’être connue. - Henri Poincare.
Alyn Rockwood
Archimedes
A Roman soldier came up to him unexpectedly and commanded him to follow; which Archimedes declined to do before he had worked out his problem at hand. The soldier, enraged, drew his sword and ran him through.
-Plutarch (version 1)
Sophie Germain
Paris, 1776-1831 Self-educated to age 18 Monsieur Le Blanc attends
Ecole Polytechnique Lagrange, Legendre, Gauss Elasticity and Fermat’s Last
Theorem
Motivation??
Art and Math
Language Axis Math
Aestheticsp(u,v,w) = (1-w) [(1-v) v]M[(1-u) u]T + v [(1-v) v]N[(1-u) u]T
q(u,v,w) = 2 max [ u-1/2, v-1/2, w-1/2 ] – 1 impact, feelings, emotion, beauty, engagement
d(x) = q(p-1(x)) spectacle, tension, resolution, harmony.
Scientist Artist
Engineer Artisan
Technician Craftsperson
Art and Math
Wheel of Thought Process Math Aesthetics
Scientist Artist
Engineer Artisan
Technician Craftsman
Art and Math - The Common Process? ferguson
Participation - “…there is tremendous satisfaction derived from the acquisition of skill, and understanding of the materials to hand, and control of the tools.” -M.C. Escher
(x+y)/2 ± [(x+y)2/4 - xy]1/2
Art and Math - The Common Process?Imagination - “There was a moment when technical mastery was no longer my aim. I was gripped with ideas so fascinating that suddenly presentation was less important than the mental image.”
after M.C. Escher
Art and Math - The Common Process? knot
Discovery - New insights, new experience.
Jasper Johns How did the cow get its spots?
…and Passion!
Examples of Artistic Math - Investigating Nature
Equipotential surfaces
Examples of Artistic Math - “Monster” Mathematics
Weierstrass Function Menger Sponge
Example of Mathematical Art - The Pattern
Islamic Art
hyperbolic tiles
Example of Mathematical Art - The View
Cezanne - composing views
E. Loran, Cezanne’s Compositions
Intersection
In a digital age
Technology Art
The Intersection of Math and Art - in Real (Digital) Life
3D Gaming 3D on the Web Interactive Devices, Hand-held Appliances Streaming Media Video production MCAD - Industrial Design and Styling AEC - Architectural, city planning, landscaping Rapid Prototyping (3D printing)
The Intersection
The Intersection
$10,000,000,000
$16,000,000,000
(software only)
The Intersection(smaller than gaming or shoes)
The Intersection
The Intersection
The Intersection - who produces the content?
The Intersection - who produces the content??
Epilogue- differencesPrecision vs Feelings
Final words on math and art
Poincare
Matisse
Nietzsche
placebo, serotonin, dendrites
The Leprechaun -the mystic
“The ancients used gods to organize the universe. In modern times we use ‘cause and effect’ [science], not that it is the truest, but only more convenient.” -Henri Poincare.
g(x) = f(x) + T(x)
T(x) = A sin(ax) sin(ay) sin(az),
The Mystery
to explain away the mystery of a great painting would do irreplaceable harm, … you substitute the explanation or definition for the image of the thing. - Henri Matisse
The Future
When I saw my devil, I found him serious, thorough, profound, solemn: he is the spirit of gravity. Through him all things fall. Nieztsche, Also Sprach Zarathustra
The Dance