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2008 Urban America Calendar
|| 11/19/2007 || 11:43 am || Comments Off on 2008 Urban America Calendar || ||

Below are the months of the calendar featuring cities around the United States and links to their respective entries so that you can see the map’s full size. Read more about the other calendars here.

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A periodic shift in Polar Roses for Valentines Day
|| 2/14/2007 || 6:28 am || Comments Off on A periodic shift in Polar Roses for Valentines Day || ||

Original Process:

Shifted to the right (or left)
Zoom of Grant Park Quilt

Last month I thoroughly explored the applications of geometric tessellations using the polar coordinate filter. After doing a bit more research I discovered how similar these “amazing circles” appear to be very similar to the sinusoidal curves of a Polar Rose. They use the equation:

In the original process I used to construct last month’s Polar Roses each interation added one tile to the entire panorama. I believe this represents the a in the equation. And after each iteration, there would be a new pedal added.

Today’s discovery is the realization of how these panoramas are wrapped around a cylinder to produce the pedals when the polar coordinate system is used. I’ve been working in whole numbers only, yet if the tiles are wrapped in a cylindrically fashion using a half shift, there will be a change in the pedal’s layout.

So to create this shift, half of one tile is removed on each end (notice above), and when they connect after being wrapped around a cylinder they still form a perfect tessellation and thus new pedal configuration when the filter is applied.

The result of this polar shift is quite interesting- a 90 degree rotation for each iteration.

View the 90 degree difference:
Old:

Shifted 90 degrees:

I can now apply this periodic shift to each of the geometries to produce a completely new set of Polar Roses. This should be interesting.



Grant Park Quilt
|| 11/21/2006 || 2:47 am || Comments Off on Grant Park Quilt || ||

: rendered at 18,000 X 12,000 :

View the Google Map of Grant Park in Chicago.

I think it’s the eruption of Buckingham Fountain from “Married with Children’s” opening sequence that does it for me. While I chose to name it Grant Park, I thought of calling it Millennium Park Quilt, which after looking at Google Map’s current imagery, I beat Google to the next Millennium, or at least to the Park by April of 2005 (my imagery’s acquisition date). Because of this, I am humbled to say I symmetrically remixed Frank Gehry‘s Pritzker Pavilion– in Google’s the current imagery the pavilion is still under construction…check the details…

I would have a second one, but due to a power outage, Grant Park Quilt #2 was offered to the gods of electricity as a humble sacrifice. I spent the day reading. Up next will be a fractal of this park.



View Rendering Details:

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Nikolas Schiller is a second-class American citizen living in America's last colony, Washington, DC. This blog is my on-line repository of what I have created or found on-line since May of 2004. If you have any questions or comments, please contact:

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