Month: November 2008

  • Annals of Aesthetics:

    Frame Tales

    From June 30

    (“Will this be on the test?”)

    Frame Tale One:


    Summer Reading



    Frame Tale Two:

    Barry Sharples
    on his version of the
      Kaleidoscope Puzzle

    Background:
     
    “A possible origin of this puzzle
     is found in a dialogue
     between Socrates and Meno
     written by the Greek philosopher,
     Plato, where a square is drawn
    inside
    a square such that
    the blue square is twice the area
     of the yellow square.

    Plato's Diamond

    Colouring the triangles
     produces a starting pattern
    which is a one-diamond figure
    made up of four tiles and there are
    24 different possible arrangements.”

    Twenty-four Variations on a Theme of Plato

    “The king asked, in compensation for his toils during this strangest of all the nights he had ever known, that the twenty-four riddle tales told him by the specter, together with the story of the night itself, should be made known over the whole earth and remain eternally famous among men.”

    Frame Tale Three:

    Finnegans Wake

    “The quad gospellers may own the targum but any of the Zingari shoolerim may pick a peck of kindlings yet from the sack of auld hensyne.”

  • Rhyme and Reason

    “Beauty is a riddle.”

    – Dostoevsky

    “Seven is Heaven
     Eight is a Gate
     Nine is a Vine”

    – Folk rhyme

  • ART WARS, Aesthetics Division:

    Roman Religion

    Pope Benedict XVI, formerly the modern equivalent of The Grand Inquisitor

    ET SUPER HANC PETRAM
    AEDIFICABO  ECCLESIAM
    MEAM ET PORTAE INFERI
    NON  PRAEVALEBUNT
    ADVERSUS  EAM

    Benedict XVI, before he became Pope:

    “… a purely harmonious concept of beauty is not enough…. Apollo, who for Plato’s Socrates was ‘the God’ and the guarantor of unruffled beauty as ‘the truly divine’ is absolutely no longer sufficient.”

    Tom O’Bedlam:

    I know more than Apollo….

    Wikipedia:

    “The lapis manalis (Latin: ‘stone of the Manes‘) was a name given to two sacred stones used in the Roman religion. One covered a gate to Hades, abode of the dead….

    One such stone covered the mundus Cereris, a pit thought to contain an entrance to the underworld….

    The… mundus was located in the Comitium, on the Palatine Hill. This stone was ceremonially opened three times a year, during which spirits of the blessed dead (the Manes) were able to commune with the living. The three days upon which the mundus was opened were August 24, October 5, and November 8. Fruits of the harvest were offered to the dead at this time.”

    Related material:

    Log24 on      
    August 24,     
    October 5, and
    November 8.  

  • Annals of Theology…

    From a
    Cartoon Graveyard

     ”That corpse you planted
              last year in your garden,
      Has it begun to sprout?
              Will it bloom this year? 
      Or has the sudden frost
              disturbed its bed?”

    — T. S. Eliot, “The Waste Land

    Wikipedia:

    “In the Roman Catholic tradition, the term ‘Body of Christ’ refers not only to the body of Christ in the spiritual realm, but also to two distinct though related things: the Church and the reality of the transubstantiated bread of the Eucharist….

    According to the Catechism of the Catholic Church, ‘the comparison of the Church with the body casts light on the intimate bond between Christ and his Church. Not only is she gathered around him; she is united in him, in his body….’

    ….To distinguish the Body of Christ in this sense from his physical body, the term ‘Mystical Body of Christ’ is often used. This term was used as the first words, and so as the title, of the encyclical Mystici Corporis Christi of Pope Pius XII.”

    Pope Pius XII
    :

    “83. The Sacrament of the Eucharist is itself a striking and wonderful figure of the unity of the Church, if we consider how in the bread to be consecrated many grains go to form one whole, and that in it the very Author of supernatural grace is given to us, so that through Him we may receive the spirit of charity in which we are bidden to live now no longer our own life but the life of Christ, and to love the Redeemer Himself in all the members of His social Body.”

    Related material:

    Log24 on this date in 2002:

    Religious Symbolism
    at Princeton

    as well as

    King of Infinite Space

    Coxeter exhuming Geometry

    and a
    “striking and wonderful figure”
     from this morning’s newspaper–

    Garfield brings to the fridge a birthday cupcake for the leftover meatloaf. Nov. 8, 2008.

  • ART WARS continued:

    The Sincerest Form
    of Flattery

    At a British puzzle website today I found this, titled “Tiles Puzzle by Steven H. Cullinane”–

    http://www.log24.com/log/pix08A/081107-Tilespuzzle.jpg

    The version there states that
    “there are 322,560 patterns made by swapping rows, swapping columns and swapping the four 2×2 quadrants!”

    Actually, only 840 patterns can be made in this version. These are formed by 322,560 permitted permutations of the 16 tiles. This is also true in my Kaleidoscope Puzzle. For a display of all 322,560 permutations as pairs of (orthogonal) patterns, see the Diamond 16 Puzzle.

    Update of Nov. 10, 2008: The error has been corrected.

  • Happy Birthday:

    Billy Graham is 90.
    Joni Mitchell is 65.

    Buen fin de semana a todos.
    Desconvencida

  • For St. Steve McQueen’s Day:

    The Getaway

    Log24 on St. Luke’s Day this year:
    An example of lifestyle coverage at The New York Times– a 2006 story on visual art in Mexico that included a reference to…

    Damien Hirst’s gory new series
     ’The Death of God–
    Towards a Better Understanding
    of Life Without God
    Aboard the Ship of Fools.’

    For descriptions of such life, I prefer the literary art of Robert Stone– in particular, Stone’s novel A Flag for Sunrise.

    Credit must be given to the Times for an excellent 1981 review of that novel.

    The review’s conclusion:

    A Flag for Sunrise is
     the best novel of ideas
     I’ve read since Dostoyevsky
     escaped from Omsk.”

    The author of that review, John Leonard, died Wednesday, Nov. 5. This morning’s Times has his obituary.

  • Final Arrangements, continued:

    Death of a Classmate

    Michael Crichton,
    Harvard College, 1964

    Authors Michael Crichton and David Foster Wallace in NY Times obituaries, Thursday, Nov.  6, 2008

    Authors Michael Crichton and
    David Foster Wallace in today’s
    New York Times obituaries

    The Times’s remarks above
    on the prose styles of
    Crichton and Wallace–
    “compelling formula” vs.
    “intricate complexity”–
    suggest the following works
    of visual art in memory
    of Crichton.

    “Crystal”

    Crystal from 'Diamond Theory'

    “Dragon”

    (from Crichton’s
    Jurassic Park)–


    Dragon Curve from 'Jurassic Park'

    For the mathematics
    (dyadic harmonic analysis)
    relating these two figures,
    see Crystal and Dragon.

    Some philosophical
    remarks related to
    the Harvard background
      that Crichton and I share–

    Hitler’s Still Point

    and
    The Crimson Passion.