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Houston Quilt 2
|| 12/21/2005 || 8:31 pm || Comments Off on Houston Quilt 2 || ||

: rendered at 18,000 X 12,000 :

Interesting… So in my last entry I wrote on & on about lines of symmetry, and after looking at this rendering a bit more, I think some of my analysis was partially incorrect. Lemme break it down…

Okay so this map should fall in line with what I was saying comprises a 2 seam map, but what I found is another two lines of symmetry- lines that all 2 seamed maps contain is actually 4 lines of symmetry. In constructing this map I used a total of 4 infinite planes with each in groups of 2. The first two are 75 X 75 in size and at a Z angle of 5 & -5 respectively, and the second two are 75 X 75, at an angle of Z angle of 5 & -5, but rotate 90 degrees. In a 3D space this create a wedge of sorts.

To mentally picture this, imagine each pair as an X (each plane is at +-5 degrees), but instead of looking at the X from above, as you are now looking at the character on the screen, imagine that you are only looking at one side, which makes the X look more like a V. Furthermore, you are looking at the V from the side looking down into the vertex of the V, so you see two sides and at the apex is the central seam. By rotating the second pair 90 degrees, the V turns into a pyramid with 4 sides, and you are looking at the pyramid from below it’s base. Thus you get 4 different lines of symmetry for each seam. This make sense? I can take some screen shots to explain this a bit more…

With this jargon out of the way, the result is that with two grouped planes, I get 4 lines of symmetry. And it can be assumed that with 3 grouped planes, I get 6 lines of symmetry and so on. I think the most effective way to classify all the maps in the quilt project will be based of lines of symmetry (aka seams) because these can easily be identified, while the number of infinite planes (which result in the number of seams) is not as easily identifiable.

With #40 out of the way, its time to go through and classify them all……..fun!
==Update==
I ended up using the geometry as the means categorize my maps.

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Providence Quilt
|| 12/19/2005 || 11:43 pm || Comments Off on Providence Quilt || ||

: rendered at 18,000 X 12,000 :

So I am totally on a kick now of making new maps using imagery from outside of DC. Today is Providence, Rhode Island, a city I have yet to visit. Tomorrow will be Houston, Texas, and hopefully the following two will be of Philly & Salt Lake City. So far I’ve only prepared the imagery for Houston and I need to mosaic & square the new imagery I acquired this evening. As for the Providence Quilt, there are a few interesting geographic identifiers that make this rendering all the more exquisite. The capital building is reflected numerous times within the map, but I really like the way the river & roads show up. Lately I’ve been enjoying the ways in which reflected highways make beautiful aspects of the tessellations, and I think the Houston map coming up next will be a great example.

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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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::THE QUILT PROJECTION::

Square
Square

Diamond
diamond

Hexagon
hexagon

Octagon
octagon

Dodecagon
Dodecagon

Beyond
beyond

::OTHER PROJECTIONS::

The Lenz Project
Lenz

Mandala Project
Mandala

The Star Series


Abstract Series
abstract

Memory Series
Memory

Mother Earth Series
Mother Earth

Misc Renderings
Misc

::POPULAR MAPS::

- The Los Angeles Interchanges Series
- The Lost Series
- Terra Fermi
- Antique Map Mashups
- Google StreetView I.E.D.
- LOLmaps
- The Inaugural Map
- The Shanghai Map
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- Winner of the Everywhere Man Award

::MONTHLY ARCHIVES::



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  • thank you,
    come again!