Politics. Speech. Untitled. The above three images suggest there is a film clip out there somewhere.
The Vienna Tortoises: Left: 1954 Eichler's Schildkröte; Centre: 1959 Kretz/Angyan/Zemanek Machina Combinatrix; Right: 1965 Bielowski Schildkröte HANS KRETZ: An Interview Conducted by David Morton, IEEE History Center, 25 July 1996 Interview #283 for the IEEE History Center, The Institute of Electrical and Electronics Engineers, Inc. Copyright Statement This manuscript is being made available for research purposes only. All literary rights in the manuscript, including the right to publish, are reserved to the IEEE History Center. Request for permission to quote for publication should be addressed to the IEEE History Center Oral History Program, 39 Union Street, New Brunswick, NJ 08901-8538 USA. It is recommended that this oral history be cited as follows: Hans Kretz, an oral history conducted in 1996 by David Morton, IEEE History Center, New Brunswick, NJ, USA. Education and Cybernetics Kretz: Morton: What was his name? The Greatest Mathematical Discovery? « Math Drudge.
Introduction Question: What mathematical discovery more than 1500 years ago: Is one of the greatest, if not the greatest, single discovery in the field of mathematics?
Involved three subtle ideas that evaded the greatest minds of antiquity, even including geniuses such as Archimedes? Was fiercely resisted in Europe for hundreds of years after its discovery? Even today, in historical treatments of mathematics, is often dismissed with scant mention, or else is ascribed to the wrong source? Answer: Our modern system of positional decimal arithmetic with zero, which was discovered in India in the fourth or fifth century.
Why? As recorded by George Dantzig’s father Tobias Dantzig, the 19th century mathematician Pierre-Simon Laplace explained: As Laplace noted, today we often take this scheme for granted as “trivial,” but it is anything but trivial (as any youngster in grade school will attest), since it eluded the best minds of the ancient world, even the genius Archimedes. Blogathyant » Blog Archive » Inter..what? 100 Photographs that Changed the World by Life. Long Now: Views: Essays. Reflection Mapping History. (Title inspired by Frank Foster's "The Story of Computer Graphics")Updated 9/2006 The Quest Begins Some of the graphics research I've worked on builds on the techniques of reflection mapping and environment mapping developed in the late 1970's and early 1980's.
I had a paper about the work at SIGGRAPH 98 which can be found here. This web page tells the story of how the original techniques came to be. Blinn and Newell 1976 In my SIGGRAPH 98 paper I referenced reflection mapping using synthetically rendered environment maps as presented by Jim Blinn in 1976: I met with Jim Blinn in June 1999 during a visit to Microsoft Research, and by coincidence he was in the process of organizing some old files, including the images from this paper. In the paper, Blinn also included an image of a satellite, environment-mapped with an image of the earth and the sun which he drew, shown below. More images from Blinn's early environment mapping work may be found here.
What about Photographs? Williams 1983.