Wolfgang Ernst, Friedrich Kittler (eds.): Die Geburt des Vokalalphabets aus dem Geist der Poesie: Schrift, Zahl und Ton im Medienverbund (2006) [German]

Daß das Melodische an der Stimme notierbar wurde, ist eine kulturtechnische Leistung der altgriechischen Vokalalphabetisierung der Gesänge Homers. Verblüffenderweise wurden mit diesem Alphabet jedoch nicht nur Sprache und Musik, sondern auch Mathematik und Geometrie angeschrieben. Der interessante Befund liegt darin, daß damit von Beginn an – und einer inhärenten medienästhetischen Logik folgend – “alphanumerisch” avant la lettre operiert wurde. Diese sonst disziplinär entfernten Bereiche medienarchäologisch zusammenzudenken eröffnet eine neue Dimension von Kulturgeschichtsschreibung. Führende Vertreter neuester Forschungen aus den betroffenen Fächern (Altphilologie, Ägyptologie, Archäologie, Epigraphik, Gräzistik, Mathematik und Musikwissenschaft) werden zu diesem Zweck mit Vertretern der Kultur- und Medienwissenschaft – in dieser Form erstmals – ins Gespräch gebracht.

Mit Beiträge von Barry Powell, Rudolf Wachter, Friedrich Kittler, Jesper Svenbro, Wolfgang Rösler, Joachim Quack, Ludwig Morenz, Eva Canik-Kirschbaum, Sandrina Khaled, Gerald Wildgruber, Maarten Bullynck, Thomas Götselius, Joachim Latacz, Martin Carlé und Wolfgang Ernst.

Publisher Wilhelm Fink, Munich, 2006
ISBN 9783770542673
314 pages

Cultural techniques on Monoskop wiki

Publisher

PDF (56 MB, no OCR)
View online

Tony Robbin: Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought (2006)

“In this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams.

Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.”

Publisher Yale University Press, 2006
ISBN 0300110391, 9780300110395
160 pages

Review (Tony Philips, Notices of the AMS, 2007)
Review (Amy Ione, Leonardo, 2006)

Author (with an Hypercube Android App and online references)
Publisher

PDF (some images missing)

Ron Eglash: African Fractals: Modern Computing and Indigenous Design (1999)

Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences.

Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structures-circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems.

Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.

Publisher Rutgers University Press, 1999
ISBN 0813526140, 9780813526140
272 pages
via Magdalena Mactas

Reviews

Author
Publisher
Google books

PDF (updated to OCR’d version on 2014-2-17 via Marcell Mars)