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Geometric ``Floral'' Configurations |
Published:2009-09-01
Printed: Sep 2009
Printed: Sep 2009
- Leah Wrenn Berman
- Jürgen Bokowski
- Branko Grünbaum
- Toma\v{z} Pisanski
Abstract
With an increase in size, configurations of points and lines
in the plane usually become complicated and hard to analyze.
The ``floral'' configurations we are introducing here represent
a new type that makes accessible and visually intelligible
even configurations of considerable size. This is achieved
by combining a large degree of symmetry with a hierarchical
construction. Depending on the details of the interdependence
of these aspects, there are several subtypes that are described
and investigated.
| MSC Classifications: |
52C30 - Planar arrangements of lines and pseudolines 52C99 - None of the above, but in this section |