Month: February 2009

  • Design Theory:

    Themes and
    Variations

    Horace Brock with his collection at the Boston Museum of Fine Arts

    The Boston Globe today
    on a current Museum of Fine Arts exhibit of works collected by one Horace Brock--

    "Designed objects, Brock writes, can be broken down into 'themes' and 'transformations.' A theme is a motif, such as an S-curve; a transformation might see that curve appear elsewhere in the design, but stretched, rotated 90 degrees, mirrored, or otherwise reworked.

    Aesthetic satisfaction comes from an apprehension of how those themes and transformations relate to each other, or of what Brock calls their 'relative complexity.' Basically-- and this is the nub of it-- 'if the theme is simple, then we are most satisfied when its echoes are complex... and vice versa.'"

    Related material:

    Theme

    Diamond theme

    and Variations

    Variations on the diamond theme

    See also earlier tributes to
    Hollywood Game Theory

    Chess game in The Thomas Crown Affair

    and Hollywood Religion:

    http://www.log24.com/log/pix09/090222-SoundOfSilence.jpg

    For some variations on the
    above checkerboard theme, see
    Finite Relativity and
     A Wealth of Algebraic Structure.

  • Today's Sermon:

    Design at Harvard:
    Natural or Unnatural?

    Logo of Harvard Graduate School of Design compared to the 'natural' sign

    From the Harvard 
    Graduate School of Design--

    Call for Entries:
    The Space of Representation

    DEADLINE FEBRUARY 27, 2009 8PM EST

    "According to Henri Lefebvre, the social production of space has three components: spatial practice, the representation of space, and the space of representation. The latter two are integral to both design and the review process."

    Also according to Henri Lefebvre:

    An 'epoch-making event' from Lefebvre, 'The Production of Space'

    This is clearly nonsense.
    It is also, like
      much else at Harvard,
    damned Marxist nonsense.

    I recommend instead  
    James Joyce on space --

    Dagger Definitions

    From 'Ulysses,' 1922 first edition, page 178-- 'dagger definitions'

  • Annals of Religion:

    The Graduate

    Today's New York Times:

    New York Times executive Mary Jacobus dies at 52

    The Times goes on to say...

    "A native of Buffalo, Ms. Jacobus
    graduated from Le Moyne College
    in Syracuse."

    She died yesterday.

    A quotation from
    yesterday's entries
    may be relevant:

    "Men’s curiosity searches past and future
    And clings to that dimension. But to apprehend
    The point of intersection of the timeless
    With time, is an occupation for the saint...."

    -- T. S. Eliot, Four Quartets

      
    In memory of Mary Jacobus-- Clint Eastwood sings 'Accentuate the Positive'

    Related material:

    From a previous appearance
    of the Eastwood meditation
    in this journal:

    Masks of comedy and tragedy

    Click on image
    for details.

  • ART WARS continued:

    The Cross
    of Constantine

    mentioned in
    this afternoon's entry
    "Emblematizing the Modern"
    was the object of a recent
    cinematic chase sequence
    (successful and inspiring)
    starring Mira Sorvino
    at the Metropolitan
    Museum of Art.

    In memory of
    Dr. Hunter S. Thompson,
    dead by his own hand
    on this date
    four years ago --

    Rolling Stone memorial to Dr. Hunter S. Thompson

    Click for details.

    There is
    another sort of object
    we may associate with a
    different museum and with
    a modern Constantine ...
    See "Art Wars for MoMA"
    (Dec. 14, 2008).

    This object, modern
    rather than medieval,
    is the ninefold square:

    The ninefold square

    It may suit those who,
    like Rosalind Krauss
    (see "Emblematizing"),
    admire the grids of modern art
    but view any sort of Christian
    cross with fear and loathing.

    For some background that
    Dr. Thompson might appreciate,
    see notes on Geometry and Death
    in this journal, June 1-15, 2007,
    and the five Log24 entries
     ending at 9 AM Dec. 10. 2006,
    which include this astute
    observation by J. G. Ballard:

    "Modernism's attempt to build a better world with the aid of science and technology now seems almost heroic. Bertolt Brecht, no fan of modernism, remarked that the mud, blood and carnage of the first world war trenches left its survivors longing for a future that resembled a white-tiled bathroom."

    Selah.

  • Annals of Science:

    A Kind of Cross

    Descartes portrait

    "For every kind of vampire,
    there is a kind of cross."

    -- Thomas Pynchon in  
    Gravity's Rainbow

    Descartes's Cross

    Click for source.

    Related material:

    A memorial service
    held at 2 PM today at the
    U.S. Space & Rocket Center
    in Huntsville, Alabama, and
     today's previous entry.

  • ART WARS continued:

    Emblematizing
     the Modern
     
    The following meditation was
    inspired by the recent fictional
    recovery, by Mira Sorvino
    in "The Last Templar,"

    of a Greek Cross --
    "the Cross of Constantine"--
    and by the discovery, by
    art historian Rosalind Krauss,
    of a Greek Cross in the
    art of Ad Reinhardt.

    http://www.log24.com/log/pix09/090220-CrossOfDescartes.jpg

    The Cross of Descartes  

    Note that in applications, the vertical axis
    of the Cross of Descartes often symbolizes
    the timeless (money, temperature, etc.)
    while the horizontal axis often symbolizes time.

    T.S. Eliot:


    "Men’s curiosity searches past and future
    And clings to that dimension. But to apprehend
    The point of intersection of the timeless
    With time, is an occupation for the saint...."

    There is a reason, apart from her ethnic origins, that Rosalind Krauss (cf. 9/13/06) rejects, with a shudder, the cross as a key to "the Pandora's box of spiritual reference that is opened once one uses it." The rejection occurs in the context of her attempt to establish not the cross, but the grid, as a religious symbol:


    "In suggesting that the success [1] of the grid
    is somehow connected to its structure as myth,
    I may of course be accused of stretching a point
    beyond the limits of common sense, since myths
    are stories, and like all narratives they unravel
    through time, whereas grids are not only spatial
    to start with, they are visual structures
    that explicitly reject a narrative
    or sequential reading of any kind.

    [1] Success here refers to
    three things at once:
    a sheerly quantitative success,
    involving the number of artists
    in this century who have used grids;
    a qualitative success through which
    the grid has become the medium
    for some of the greatest works
    of modernism; and an ideological
    success, in that the grid is able--
    in a work of whatever quality--
    to emblematize the Modern."


          -- Rosalind Krauss, "Grids" (1979)

    Related material:

    Time Fold and Weyl on
    objectivity and frames of reference.

    See also Stambaugh on
    The Formless Self
    as well as
    A Study in Art Education
    and
    Jung and the Imago Dei.

  • Graphic Design Notes (review)

    A Sunrise
    for Sunrise


    "If we open any tract-- Plastic Art and Pure Plastic Art or The Non-Objective World, for instance-- we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete." --Rosalind Krauss, "Grids"

    Yesterday's entry featured a rather simple-minded example from Krauss of how the ninefold square (said to be a symbol of Apollo)

    The 3x3 grid

    may be used to create a graphic design-- a Greek cross, which appears also in crossword puzzles:

    Crossword-puzzle design that includes Greek-cross elements

    Illustration by
    Paul Rand
    (born Peretz Rosenbaum)

    A more sophisticated example
    of the ninefold square
    in graphic design:

    "That old Jew
    gave me this here."
    --
    A Flag for Sunrise       

    The 3x3 grid as an organizing frame for Chinese calligraphy. Example-- the character for 'sunrise'
    From Paul-Rand.com

  • Woman and Her Symbols:

    Raiders of
    the Lost Well


    "The challenge is to
     keep high standards of
     scholarship while maintaining
     showmanship as well."

    -- Olga Raggio, a graduate of the Vatican library school and the University of Rome who, at one point in her almost 60 years with the Metropolitan Museum of Art, organized "The Vatican Collections," a blockbuster show. Dr. Raggio died on January 24.

    The next day, "The Last Templar," starring Mira Sorvino, debuted on NBC.

    Mira Sorvino in 'The Last Templar'

    "The story, involving the Knights Templar, the Vatican, sunken treasure, the fate of Christianity and a decoding device that looks as if it came out of a really big box of medieval Cracker Jack, is the latest attempt to combine Indiana Jones derring-do with 'Da Vinci Code' mysticism."

    -- The New York Times

    Sorvino in "The Last Templar"
    at the Church of the Lost Well:

    Mira Sorvino at the Church of the Lost Well in 'The Last Templar'

    "One highlight of Secretary of State Hillary Clinton's first overseas trip will be a stop in China. Her main mission in Beijing will be to ensure that US-China relations under the new Obama administration get off to a positive start."

    -- Stephanie Ho, Voice of America Beijing bureau chief, today

    Symbol of The Positive,
    from this journal
    on Valentine's Day:

    'Enlarge' symbol from USA Today

    "Stephanie started at the Voice of America as an intern in 1991. She left briefly to attend film school in London in 2000. Although she didn't finish, she has always wanted to be a film school dropout, so now she's living one of her dreams.

    Stephanie was born in Ohio and grew up in California. She has a bachelor's degree in Asian studies with an emphasis on Chinese history and economics, from the University of California at Berkeley."

    "She is fluent in
    Mandrin Chinese."
    --VOA  

    As is Mira Sorvino.

    Chinese character for 'well' and I Ching Hexagram 48, 'The Well'

    Those who, like Clinton, Raggio, and
    Sorvino's fictional archaeologist in
    "The Last Templar," prefer Judeo-
    Christian myths to Asian myths,
    may convert the above Chinese
    "well" symbol to a cross
    (or a thick "+" sign)
    by filling in five of
    the nine spaces outlined
    by the well symbol.

    In so doing, they of course
    run the risk, so dramatically
    portrayed by Angelina Jolie
    as Lara Croft, of opening
    Pandora's Box.

    (See Rosalind Krauss, Professor
    of Art and Theory at Columbia,
    for scholarly details.)

    Rosalind Krauss

    Krauss

    Greek Cross, adapted from painting by Ad Reinhardt

    The Krauss Cross

  • Mathematics and Poetry (review):

    Diamond-Faceted:

    Transformations
    of the Rock


    A discussion of Stevens's late poem "The Rock" (1954) in Wallace Stevens: A World of Transforming Shapes, by Alan D. Perlis, Bucknell University Press, 1976, p. 120:

    For Stevens, the poem "makes meanings of the rock." In the mind, "its barrenness becomes a thousand things/And so exists no more." In fact, in a peculiar irony that only a poet with Stevens's particular notion of the imagination's function could develop, the rock becomes the mind itself, shattered into such diamond-faceted brilliance that it encompasses all possibilities for human thought:

    The rock is the gray particular of man's life,
    The stone from which he rises, up—and—ho,
    The step to the bleaker depths of his descents ...

    The rock is the stern particular of the air,
    The mirror of the planets, one by one,
    But through man's eye, their silent rhapsodist,

    Turquoise the rock, at odious evening bright
    With redness that sticks fast to evil dreams;
    The difficult rightness of half-risen day.

    The rock is the habitation of the whole,
    Its strength and measure, that which is near,
    point A
    In a perspective that begins again

    At B: the origin of the mango's rind.

                        (Collected Poems, 528)

    A mathematical version of
    this poetic concept appears
    in a rather cryptic note
    from 1981 written with
    Stevens's poem in mind:

    http://www.log24.com/log/pix09/090217-SolidSymmetry.jpg

    For some explanation of the
    groups of 8 and 24
    motions referred to in the note,
    see an earlier note from 1981.

    For the Perlis "diamond facets,"
    see the Diamond 16 Puzzle.

    For a much larger group
    of motions, see
    Solomon's Cube.

    As for "the mind itself"
    and "possibilities for
    human thought," see
    Geometry of the I Ching.

  • Today's Sermon:

    From April 28, 2008:

    Religious Art

    The black monolith of
    Kubrick's 2001 is, in
    its way, an example
    of religious art.

    Black monolith, proportions 4x9

    One artistic shortcoming
    (or strength-- it is, after
    all, monolithic) of
    that artifact is its
    resistance to being
    analyzed as a whole
    consisting of parts, as
    in a Joycean epiphany.

    The following
    figure does
    allow such
      an epiphany.

    A 2x4 array of squares

    One approach to
     the epiphany:

    "Transformations play
      a major role in
      modern mathematics."
    - A biography of
    Felix Christian Klein

    See 4/28/08 for examples
    of such transformations.

     
    Related material:

    From Wallace Stevens: A World of Transforming Shapes, by Alan D. Perlis, Bucknell University Press, 1976, pp. 117-118:

    "... his point of origin is external nature, the fount to which we come seeking inspiration for our fictions. We come, many of Stevens's poems suggest, as initiates, ritualistically celebrating the place through which we will travel to achieve fictive shape. Stevens's 'real' is a bountiful place, continually giving forth life, continually changing. It is fertile enough to meet any imagination, as florid and as multifaceted as the tropical flora about which the poet often writes. It therefore naturally lends itself to rituals of spring rebirth, summer fruition, and fall harvest. But in Stevens's fictive world, these rituals are symbols: they acknowledge the real and thereby enable the initiate to pass beyond it into the realms of his fictions.

    Two counter rituals help to explain the function of celebration as Stevens envisions it. The first occurs in 'The Pediment of Appearance,' a slight narrative poem in Transport to Summer. A group of young men enter some woods 'Hunting for the great ornament, The pediment of appearance.' Though moving through the natural world, the young men seek the artificial, or pure form, believing that in discovering this pediment, this distillation of the real, they will also discover the 'savage transparence,' the rude source of human life. In Stevens's world, such a search is futile, since it is only through observing nature that one reaches beyond it to pure form. As if to demonstrate the degree to which the young men's search is misaligned, Stevens says of them that 'they go crying/The world is myself, life is myself,' believing that what surrounds them is immaterial. Such a proclamation is a cardinal violation of Stevens's principles of the imagination. For in 'Notes Toward a Supreme Fiction' he tells us that

    ... the first idea was not to shape the clouds
    In imitation. The clouds preceded us.

    There was a muddy centre before we breathed.
    There was a myth before the myth began,
    Venerable and articulate and complete.

    From this the poem springs: that we live in a place
    That is not our own and, much more, not ourselves
    And hard it is in spite of blazoned days.

    We are the mimics.

                               (Collected Poems, 383-84)

    Believing that they are the life and not the mimics thereof, the world and not its fiction-forming imitators, these young men cannot find the savage transparence for which they are looking. In its place they find the pediment, a scowling rock that, far from being life's source, is symbol of the human delusion that there exists a 'form alone,' apart from 'chains of circumstance.'

    A far more productive ritual occurs in 'Sunday Morning.'...."

    For transformations of a more
    specifically religious nature,
    see the remarks on
    Richard Strauss,
    "Death and Transfiguration,"
    (Tod und Verklärung, Opus 24)

    in Mathematics and Metaphor
    on July 31, 2008, and the entries
    of August 3, 2008, related to the
     death of Alexander Solzhenitsyn.