is denoted by $\Delta_x S$ and is called the *germ of $S$ at $x$*.

A germ $\mu$ of a Weyl chamber $S$ at $x$ is *contained* in a set $Y$ if there exists $\varepsilon\in\Lambda^{+}$ such that $S\cap B_\varepsilon(x)$ is contained in $Y$.

-   Any two germs of Weyl chambers are contained in a common apartment.

-   For all points $x$ and $y$-based Weyl chambers $S$ there exists an apartment containing both $x$ and $\Delta_yS$.

-   Any two germs of Weyl chambers based at the same vertex are contained in a common apartment.

We will be able to prove that under certain assumptions the set $\Delta_xX$ of all germs of Weyl simplices at a fixed point $x$ in $X$ carries the structure of a spherical building. The germs of Weyl chambers will be the chambers in $\Delta_xX$. We say that two germs of Weyl chambers are *opposite at $x$* if they are opposite as chambers in the building $\Delta_xX$.

-   Two Weyl chambers $S$ and $T$, which are based at the same vertex $x$ and whose germs are opposite at $x$, are contained in a unique common apartment.

The segment ${\mathrm{seg}}(x,y)$ of points $x$ and $y$ in a metric space $X$ 