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Symmetric Simplicial Pseudoline Arrangements
  • L. Berman
  • Mathematics
    Electron. J. Comb.
  • 14 January 2008
TLDR
This paper refines and develops David Eppstein's notion of a kaleidoscope construction for symmetric pseudoline arrangements to construct and analyze several infinite families of simplicial pseudolines arrangements with high degrees of geometric symmetry.
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The monodromy group of the n-pyramid
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The monodromy group of a truncated simplex
In this paper we investigate the monodromy groups of the truncated simplices of all possible ranks and investigate related structures. In particular, we demonstrate that the monodromy group of a…
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Connected geometric (n_k) configurations exist for almost all n
In a series of papers and in his 2009 book on configurations Branko Grunbaum described a sequence of operations to produce new (n4) configurations from various input configurations. These operations…
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A Characterization of Astral (n4) Configurations
  • L. Berman
  • Mathematics, Physics
    Discret. Comput. Geom.
  • 2001
A conjecture of Branko Grünbaum concerning what astral (n4) configurations exist is shown to be true.
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Movable (n4) Configurations
  • L. Berman
  • Mathematics
    Electron. J. Comb.
  • 17 November 2006
A tantalum capacitor comprising a cylindrical body and an axial tantalum anode wire. This wire is first folded and then soldered to an anode connection wire roughly parallel to a cathode connection…
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Even Astral Configurations
  • L. Berman
  • Mathematics
    Electron. J. Comb.
  • 11 June 2004
TLDR
This paper completes the classification of all even astral configurations and defines an astral configuration configuration whereq and k are both even.
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Geometric “Floral” Configurations
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…
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Some Results on Odd Astral Configurations
  • L. Berman
  • Mathematics
    Electron. J. Comb.
  • 30 March 2006
TLDR
All known results in the classification of odd astral configurations where $q$ and $k$ are both at least 4 are presented.
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Deletion constructions of symmetric 4-configurations. Part I
TLDR
One family of deletion constructions is presented, which are several methods of generation of new geometric configurations by the judicious deletion of certain points and lines, and introduction of other lines or points.
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