One day some friends of mine and I had smoked some heavy doobies, and we had stayed up pretty late. The birds had started to sing their morning songs, and we all started to realize that the bird’s calls sounded like some kind of post-rock or electronic music. We were so high we thought the birds were singing Kraftwerk.
– Un comentario sonso a un post de Boing Boing acerca de “la biología de la música” y de cómo lo que escuchamos se parece a lo que decimos.
Numbers as realities misbehave. However, there is an ancient and innate sense in people that numbers ought not to misbehave. There is something clean and pure in the abstract notion of number, removed from counting beads, dialects, or clouds; and there ought to be a way of talking numbers without always having the silliness of reality come in and intrude.
(…)
Are numbers really as free as birds? Do they suffer as much from being crystallized into a rule-obeying system? Is there a magical transition region between numbers in reality and numbes on paper?
– Douglas F. Hofstadter. Gödel, Escher, Bach: An Eternal Golden Braid.
Because of its aesthetic qualities, embodied in its unique ability to relate the parts to whole, golden ratios are used in the design of many modern household items, from coffeepots, cassette tapes, playing cars, pens, radios, books, bicycles, and computers screens, to tables, chairs, windows and doorways. It even comes into literature, in the page layout of medieval manuscripts and as the small winged Golden Snitch in the Harry Potter stories.
Other important rectangles also find their way into our daily lives. The continuous geometric proportion most perfectly expressed in the golden series is mimicked in the International Standard Paper Size (2), which employs the continuous geometric proportion of 2:√2::√2:1. Where as removing a square from a golden rectable produces another golden rectagle, folding a √2 rectangle in half produces two smaller √2 rectangles. Thus folding a sheet of A3 (2:√2) in half, fives you two sheets of A4 (each √2:1).
Scott Olsen. The Golden Section: Nature’s Greatest Secret. 2006. La proporción dorada es la base de un patrón que se repite tanto en la naturaleza (plantas, animales) como en cosas hechas por el hombre (pinturas, edificios, tamaños de papel). O también: la espiral perfecta. Fibonacci lo destajó en números, y Leonardo Da Vinci lo ilustraba bajo la menor provocación.
Viéndolo en perspectiva, las cosas son tan pequeñas. Parecería que nada de lo que hagamos nos hará conseguir el título de trascendental. Las computadoras y tus grupos favoritos son pequeñas ocurrencias con las que pasar el tiempo mientras nos hacemos viejos. Aún cuando el hombre, en su búsqueda por notoriedad, pudiera llegar a destruir este y otros planetas, siempre habrá un agujero negro tratando de acomodar las cosas en su justo espacio. Un corrector de estilo en una esquina del cosmos, lejano y silencioso, esperando a que el hombre escriba en las estrellas.
– De Soy Robot y eso está bien, de Jaime Garza. Hace poco me aclararon que es el mismo chico de Pavimento, un blog que leía hace varios años.
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Hola. Soy Issa y tengo las cabras caídas por siempre. Este es mi blog personal.
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