Young wall construction of level-1 highest weight crystals over [formula omitted] and [formula omitted].

With the help of path realization and affine energy function, we give a Young wall construction of level-1 highest weight crystals B (λ) over U q (G 2 (1)) and U q (D 4 (3)). Our construction is based on four different shapes of colored blocks, O -block, I -block, L -block and LL -block, obtained by cutting the unit cube in three different ways. [ABSTRACT FROM AUTHOR]