  This paper is dedicated to the construction of multidimensional spherical
monogenics. Firstly, we investigate the construction of monogenic functions in
dimension $3$ by applying the Dirac operator to the orthonormal bases of
spherical harmonics, resulting in orthogonal spherical monogenics.
Additionally, we employ the reproducing kernel for monogenic functions and a
specialized optimization method to derive various types of $3$-dimensional
spherical harmonics and spherical monogenics.
