I can’t go much further, or can I?
–probably to about 360X and then it will look like a vinyl record :)
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Jefferson Mandala – 2nd derivative
|| 6/16/2005 || 10:37 pm || Comments Off on Jefferson Mandala – 2nd derivative || ||
Jefferson Mandala
|| 6/12/2005 || 6:15 pm || Comments Off on Jefferson Mandala || ||
This rendering marks two significant pinnacles in my geographic artistry.
The biggest step is of making a complete mandala. Before my mandalas were only reflected 4 ways (north, south, east, west) , and now I am achieving reflections of over 8 ways (north-north east, east-north east, etc), which make the final products so much more intricate and in my opinion, far superior to my older maps.
Secondly, the source imagery used for this image was what I’d like to call first derivative geospatial imagery. I have coined term to signify that the source imagery is the first derivation of a previously rendered image. In the image above, I used the rendered imagery from the center of the Mall Quilt as my source imagery for this rendering.
With source imagery’s self-similar design it’s closer to the definition of a fractal. You can zoom into a fractal to infinite, and what I think I’ve created is in effect a geographic fractal where I can take derivatives of renderings and reproject them into infinity. Each derivation will be more reflected and abstract, but I will not lose the spatial resolution so long as the final rendered dimensions are not larger than the source imagery dimensions multiplied by the number of times the source imagery is completely shown.
For example, the source imagery used to make the image above was 6000X6000 pixels, however the image above was rendered at 12000X12000 pixels. I am able to reproject the imagery larger because the actual source imagery is used multiple times within the image and in essence is doubled by the way the source imagery tessellates. Notice how you see a mirror of the Jefferson Memorial (aka 2x for every reflection), the mirroring process allows for the geographic tessellation to not lose spatial resolution when the image is finally rendered. Theoretically, I could cut out the center of this rendering, and use for my next rendering, and it would technically be considered second derivative geospatial imagery…and I might just do that :)
If this is too confusing, I’m sorry. I too am still trying to get my mind around this concept. Regardless, expect some very beautiful renderings in the near future!
View the map’s close-up details using the interactive Flash application called Zoomify
View the Google Map of the Jefferson Memorial in Washington, DC
This map was printed over a million times in newspapers around the world.
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