chaos, fractals, and the arts - ralph abraham … · chaos, fractals, and the arts ralph abraham ...
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Chaos, Fractals, and the
ArtsRalph Abraham
www.ralph-abraham.org
Porter College 63F, UCSCWinter 2017
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Complex Dynamical Systems
Chief characteristic features:
Chaotic behaviorFractal bifurcations
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Art History as a CDS
• Bifucations between stylistic periods
• Examples
• Realism —> Abstract expressionism
• Beatniks —> Hippies
• Boogie —> Bebop —> Jazz —> Rock
• Animations —> Light shows
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Meeting #1, January 12
• Course organization
• Begin the four threads
• A. Art History
• B. Basic chaos theory
• C. P5 programming
• D. Discussion
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Course organization• Class times
• Homework
• Projects
• Grading
• Tentative syllabus
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Class Times• Meetings will begin at 9:50 am, and end by 11:25 am
• Meetings wull usually begin with calling the rolland discussion of the assigned readings
• Office hour after class
• Code coach: Evan Schaffer
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Homework
• Weekly homework:
• A. Readings for discussion
• B. Chaos theory experiments
• C. HTML, CSS, JS, and P5 programming exercises
• Posted to personal websites for scoring
• Browse our website for assignments:www.ralph-abraham.org/courses/porter34b17/
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Projects
• Individual or team projects
• Modify a given P5 model
• Create a short movie of a light show
• Present in class at the end of the quarter
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Grading
• Participation in classroom discussions
• Pop quizes (perhaps)
• HW website
• Projects
• Final (based upon homework)
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Tentative Syllabus by Week
• A. Bifurcations in art history
• A1. Models of Consciousness
• A2. Early visual music
• A3. Early light shows
• A4. Guest lecture
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B. Basic Chaos Theory
• Chaos and fractals
• Stairway to chaos
• Attractors, basins, and separatrices
• Bifurcations
• 1D: The logistic scheme
• 2D: The Mira scheme
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The Math Map
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Logistic Response Diagram
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C. P5 Programming
• HTML, CSS, JS, P5
• Personal websites
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A. Theosophy Books• Helena Petrovna Blavatsky (1831–1891)
• Isis Unveiled, 1877; The Secret Doctrine, 1888
• Charles Webster Leadbeater (1854–1934)
• Clairvoyance, 1889; The Astral Plane, 1896
• Annie Besant (1847–1933)
• The Ancient Wisdom, 1897
• Besant and Leadbeater
• Thought-Forms, 1901
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A. Theosophy Ideas
• The planes
• The bodies
• Meditation and Clairvoyance
• Life in the astral and mental fields
• Thought-forms
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A. Theosophy and the Arts
• Thought-forms book, 1901
• Abstract Expressionism
• Mondrian 1908
• Kandinsky 1910
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Thought-Forms, IllustrationsClick to enlarge.
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Wassily KandinskyClick to enlarge.
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Porter 63F W2017 Meeting #1
End LectureBegin DiscussionEnd at 10:25 am