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For a dominant integral weight $\Lambda$ in a Lie algebra of affine type Aand rank $e$, and an interval $I_0$ in the residue set $I$, we define the facefor the interval $I_0$ to be the subgraph of the block-reduced crystal$\widehat P(\Lambda)$ that is generated by $f_i$ for $i \in I_0$. We show thatsuch a face has an automorphism that preserves defects. For an interval oflength $2$, we also give a non-recursive construction of the $e$-regularmultipartitions with weights in the face, as well as a formula for the numberof $e$-regular multipartitions at each vertex of the face.  For an affine Lie algebra of type $A$ we define and investigate the shape ofcanonical basis elements, a sequence counting the number of multipartitionswith a given coefficient. For finite faces generated by $\Lambda$ with$|I_0|=1,2$, we give a non-recursive closed formula for the canonical basiselements.

Faces in Crystals of Affine Type A and the Shape of Canonical Basis Elements