  With the help of path realization and affine energy function, we give a Young
wall construction of level-1 highest weight crystals $B(\lambda)$ over
$U_{q}(G_{2}^{(1)})$ and $U_{q}(D_{4}^{(3)})$. Our construction is based on
four different shapes of colored blocks, $\mathbf O$-block, $\mathbf I$-block,
$\mathbf L$-block and $\mathbf{LL}$-block, obtained by cutting the unit cube in
three different ways.
