About the Logo
This is a quasiconformal mapping of the Great Smoky Mountain National
Park into the unit disk (the Poincare disk model for hyperbolic geometry).
The original data was obtained from the US Geological Survey National Elevation
Dataset (NED) and consisted of over 270,000 data points (representing
X,Y location and elevation). After reducing the number of points to
a more manageable 3033 points, we created a triangulation of the
data (5863 faces) and used CirclePack to construct the quasiconformal mapping.
The logo shows the three layers: circles, triangles (connecting the
centers of the circles), and the color-coded surface.
We encourage you to download the data set and
construct your own image to bring to the conference. The file is ascii,
has the number of vertices, the (X,Y,Z) coordinates of the vertices,
the number of triangles, and the vertices that make up each triangle
(numbered from 1). There are two reference vertices: #3029 is
Townsend (site of our conference) and #1056 is Clingman's Dome (the
highest point in the park).
In our image, Townsend is at the bottom and Clingman's Dome
is in the center.
Below we have some other images we've done of the data set. Enjoy!
Mapped to a Rectangle
Mapped to a Triangle (Townsend at top)