1. CMB 2010 (vol 53 pp. 394)
 Averkov, Gennadiy

On Nearly Equilateral Simplices and Nearly l_{â} Spaces
By $\textrm{d}(X,Y)$ we denote the (multiplicative) BanachMazur distance between two normed spaces $X$ and $Y.$ Let $X$ be an $n$dimensional normed space with $\textrm{d}(X,\ell_\infty^n) \le 2,$ where $\ell_\infty^n$ stands for $\mathbb{R}^n$ endowed with the norm $\(x_1,\dots,x_n)\_\infty := \max \{x_1,\dots, x_n \}.$ Then every metric space $(S,\rho)$ of cardinality $n+1$ with norm $\rho$ satisfying the condition $\max D / \min D \le 2/ \textrm{d}(X,\ell_\infty^n)$ for $D:=\{ \rho(a,b) : a, b \in S, \ a \ne b\}$ can be isometrically embedded into $X.$
Categories:52A21, 51F99, 52C99 

2. CMB 2009 (vol 52 pp. 327)
 Berman, Leah Wrenn; Bokowski, Jürgen; Grünbaum, Branko; Pisanski, Toma\v{z}

Geometric ``Floral'' Configurations
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.
Categories:52C30, 52C99 
