# Question on affine buildings

Let $X$ be an affine building. Assume that $X$ is periodic, by which I mean that there exists a covering $X\to F$ of a finite simplicial complex. Let $\Gamma$ denote the group of deck transformations, then $F=\Gamma\backslash X$. Call an apartment $A$ periodic, if $\Gamma_A\backslash A$ is compact, where $\Gamma_A$ is the group of $\gamma\in\Gamma$ which satisfy $\gamma A=A$. Is it true that for any two chambers $C,D$ there exists a periodic apartment containing both?