Archive for June 12th, 2006

in memoriam György Ligeti

Monday, June 12th, 2006
ligeti.jpg
(image from Uni Münster)

today György Ligeti died.
an exceptional composer, pioneering micropolyphony, fluid in many languages, and unasked filmscore writer

some samples from his work can be found here (audio) and here (score). However, the sound examples can give only a faint idea of the experience a live performance of his work can be.

Symmetries III: SATOR

Monday, June 12th, 2006
S A T O R
A R E P O
T E N E T
O P E R A
R O T A S

This latin sentence (the sower Arepo holds the wheels with effort) is more than a palindrome (a sentence that can be read in both directions). In fact it can be read in all four directions of the square exposing even more symmetry. You can mirror it along its diagonals, but not all the symmetries of a square are present: a rotation by 90 degrees does not map the letters to themselves (pong).

symmetries II – Fano plane

Monday, June 12th, 2006
fano_simple.gifsymfano.gif

assume the world was a simple one (more…)

symmetries I – mirror symmetry

Monday, June 12th, 2006
elgoog.gif

a google mirror, that is a mirror image of googles page in some sense… (more…)