See the sticker on the tire. It is a discrete rectangle. A fixed piece of information, it is not continuous.

However, once the wheel goes in motion, the sticker can no longer be seen – the discrete shape appears to be a continuous blur.

Therefore, discrete elements put into dynamic motion only appear to be continuous. How can this be useful to take discrete instances of knowledge and make them continuous?

Continuity, even if only simulated, can benefit the digital age in many ways. For example, look at all the discrete papers published every day. Each one is a set of information like the sticker but what would happen if groups of paper were set in motion, to force continuity between them? What shape would serve this purpose best? A circle like the tire? Some shared, continuous knowledge would require far more complex geometry.

Please refer to this video Blaise Aguera y Arcas: Photosynth Demo wherein Flickr images are assembled to construct the Notre Dame Cathedral. The only way to do this is to know the geometry of the cathedral.

What is the geometry of knowledge? How can continuity be implied using shared geometry and many points of view more productively?

Perfect Geometry by Dancing Fishes

There is no way to address the topic without also thinking about slightly different versions of the same thing. Examples using music are below. The same notes and words are used but the songs and performances, even the performance requirements, are different. Each piece of music is discrete, the continuity is the fact they are the same song by different artists ~ in different times and places.

Going to California by Led Zeppelin and the String Quartet

Little Wing by Jimi Hendrix and Steve Ray Vaughn

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I Will Survive by Gloria Gaynor and Cake