Bizar Model, Cartesian horisontal lines, distance function substituted by:

\[
   f(x)=
   \left\{
      \begin{matrix}
         x+2, & x \in \mathbb{Z}\\
         x, & x \notin \mathbb{Z}\\
      \end{matrix}
   \right.
\]

$f$ bijection, but  not monotous.


<H2>The Bizar model does NOT satisfy the Separation Axiom.</H2>